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10/1Clustering Seminar
Clustering Seminar
Tuesday, October 1st, 2019
02:00 PM  03:00 PM
Storrs Campus
Monteith 245Tom Peters and Evelyn NitchGriffin will speak.
Contact Information: jeremy.teitelbaum@uconn.edu More

10/2Algebra Seminar
Proportion of ordinary curves in characteristic p
Soumya Sankar (University of Wisconsin Madison)Algebra Seminar
Wednesday, October 2nd, 2019
Proportion of ordinary curves in characteristic p
Soumya Sankar (University of Wisconsin Madison)
11:15 AM  12:05 PM
Storrs Campus
Monteith 313A curve over a field of characteristic $$p$$ is called ordinary if the $$p$$ torsion of its Jacobian is the largest possible. But what is the probability that a curve is ordinary? I will talk about various perspectives on this question, including some heuristics about how random $$p$$divisible groups behave. I will also talk about cases for which the answer is known, namely ArtinSchreier and superelliptic curves.
Contact Information: Mihai Fulger, mihai.fulger@uconn.edu More

10/2Math Club
Hilbert's 17th Problem
Anthony Rizzie(UConn)Math Club
Wednesday, October 2nd, 2019
Hilbert's 17th Problem
Anthony Rizzie(UConn)
05:45 PM  06:35 PM
Storrs Campus
Monteith 226A real number that is $$\geq 0$$ has to be a square of some real number, but a onevariable polynomial whose values are always $$\geq 0$$ need not be the square of a polynomial, e.g., $$x^2  x + 1 \geq 0$$ for all $$x$$ but we can't write $$x^2  x + 1 = f(x)^2$$ for a polynomial $$f(x)$$. However, $$x^2  x + 1$$ is a sum of squares of polynomials:
\[
x^2  x + 1 = (x1/2)^2 + 3/4 = (x1/2)^2 + (\sqrt{3}/2)^2.
\]
A sum of squares of polynomials has values that are always $$\geq 0$$. Conversely, if a polynomial has all of its values $$\geq 0$$, must it in fact be a sum of squares of polynomials? And what about polynomials in two or more variables? This question is the setting of Hilbert's 17th problem.
Note: Free pizza and drinks!
Contact Information: Keith Conrad More

10/3Special Semester Talk
Dynamics of nonlinear waves and patterns
Bjorn Sandstede (Brown)Special Semester Talk
Thursday, October 3rd, 2019
Dynamics of nonlinear waves and patterns
Bjorn Sandstede (Brown)
03:30 PM  04:30 PM
Storrs Campus
MonteithNonlinear patterns and waves appear in many different systems and on vastly different scales in both time and space: despite this variability, their dynamic behavior is similar across these systems. Mathematical techniques can help identify the origins and common properties of patterns and waves across different applications. Despite many advances, understanding patterns and waves still poses significant mathematical challenges. I will show how a combination of geometric dynamicalsystems ideas combined with PDE approaches can shed light on the existence, stability, and dynamical properties of nonlinear waves and will also discuss applications and open problems.
Contact Information: Xiaodong Yan More

10/4SIGMA Seminar
Unsupervised learning and the tSNE (tdistributed stochastic neighborhood embedding) algorithm
Jeremy Teitelbaum (University of Connecticut)SIGMA Seminar
Friday, October 4th, 2019
Unsupervised learning and the tSNE (tdistributed stochastic neighborhood embedding) algorithm
Jeremy Teitelbaum (University of Connecticut)
12:20 PM  01:20 PM
Storrs Campus
MONT 214tSNE (tdistributed stochastic embedding) is a widely used algorithm for embedding high dimensional data into two or three dimensional space. I will outline how this algorithm works, and in the process discuss some general aspects of the problem of visualizing and interpreting high dimensional data.
Contact Information: himchan.jeong@uconn.edu More

10/4Analysis and Probability Seminar
Infinitedimensional Carnot groups
Terhi Moisala (University of Jyväskylä)Analysis and Probability Seminar
Friday, October 4th, 2019
Infinitedimensional Carnot groups
Terhi Moisala (University of Jyväskylä)
01:30 PM  02:30 PM
Storrs Campus
MONT 313Abstract: I will introduce a class of spaces that can be seen as an infinitedimensional analogue of Carnot groups and, on the other hand, as a noncommutative generalization of Banach spaces. We will see examples of these spaces as well as a geometric characterization. I will also show that any Lipschitz map with infinitedimensional Carnot group domain has a point of Gâteaux differentiability (joint work with Enrico Le Donne and Sean Li) and that these spaces naturally appear as direct limits of classical Carnot groups (in preparation, with Enrico Pasqualetto).
Contact Information: scott.zimmerman@uconn.edu More

10/4Logic Colloquim: Ellen Lehet (Notre Dame)
Logic Colloquim: Ellen Lehet (Notre Dame)
Friday, October 4th, 2019
01:30 PM  03:00 PM
Storrs Campus
Humantities Institute, 4th Floor Homer Babbidge LibraryJoin us for a talk by Ellen Lehet on category theory.
Ellen Lehet (University of Notre Dame)
"The Explanatory Value of Category Theory"
Abstract
Category theory has proven to be applicable across all of mathematics. In some sense this is not surprising because category theory was created for the purpose of application (specifically, application to algebraic topology). But I will argue that the significance of category theory extends past its applicability — in particular, there is a significant explanatory benefit. The question of what constitutes a mathematical explanation is of perennial interest to philosophers. Reflection on category theory’s unique role in mathematics unearths some features of mathematical explanation that are not often made explicit and that philosophers have tended not to notice.
There are many ways that category theoretic methods provide explanations. For instance, important results in different areas of mathematics are unified by the fact that they are all corollaries of the same category theoretic theorem, such as the theorem that right adjoints preserve limits. Or consider the ways of defining structures in category theory with universal properties — the whole perspective sheds light on how constructions from different domains are related to one another. The categorical product for instance, unites many seemingly unrelated mathematical constructions such as the Cartesian product, union, and conjunction. Such examples introduce both generalization and unification within mathematics. Moreover, this unification allows for meaningful and surprising mathematical analogies to arise. These gen eralizations and analogies are explanatory and result from the structural features of category theory.
In order to highlight the explanatory value of category theory, I will first provide a characterization of the structure unique to category theory. It is this structure that makes category theory apt for producing explanations. With a clear picture of category theoretic structure, I will present a few examples that illustrate how category theory proves to be explanatory — in particular, how the structural features of category theory are explanatory.
All welcome!
https://logic.uconn.edu/calendar/
Contact Information: https://logic.uconn.edu/about/ More

10/4 Commutative Cluster Algebra Seminar
Title: TBA
Speaker: Jerzy WeymanCommutative Cluster Algebra Seminar
Friday, October 4th, 2019
Title: TBA
Speaker: Jerzy Weyman
03:30 PM  04:30 PM
Storrs Campus
Monteith 313seminar
Contact Information: Ralf Schiffler, schiffler@math.uconn.edu More

10/4Analysis Learning Seminar
Monsters versus the Dream Universe: the Axiom of Choice in Analysis
Nathaniel Eldredge (University of Northern Colorado)Analysis Learning Seminar
Friday, October 4th, 2019
Monsters versus the Dream Universe: the Axiom of Choice in Analysis
Nathaniel Eldredge (University of Northern Colorado)
03:30 PM  04:30 PM
Storrs Campus
Monteith 214The axiom of choice is widely accepted in mathematics, but in analysis, it lets you construct a number of "monsters": nonmeasurable sets, discontinuous linear functionals, paradoxical hat guessing strategies, and so on. In this talk, we'll look at some alternative axioms that result in a "dream universe" where these monsters don't exist, though perhaps a few other things are a little different. Along the way, we'll see some interesting tidbits from the foundations of mathematics, and start to get a sense for "how much choice" is used in various parts of analysis.
Contact Information: Matthew Badger (matthew.badger@uconn.edu) More

10/7Actuarial Science Seminar
Introduction to Bitcoin Inverse Futures
Bin Zou (UCONN)Actuarial Science Seminar
Monday, October 7th, 2019
Introduction to Bitcoin Inverse Futures
Bin Zou (UCONN)
11:00 AM  12:00 PM
Storrs Campus
MONT 214In this talk, I give a brief introduction to Bitcoin and Bitcoin inverse futures. Next, I study the risk factors (mean and variance of returns) and optimal hedging of Bitcoin inverse futures.
Contact Information: Bin Zou, bin.zou@uconn.edu More

10/7PDE and Differential Geometry Seminar
Rigidity of Hyperbolic Space
Daniel Martin (Trinity College)PDE and Differential Geometry Seminar
Monday, October 7th, 2019
Rigidity of Hyperbolic Space
Daniel Martin (Trinity College)
02:30 PM  03:30 PM
Storrs Campus
MONT 214The goal of this talk is to give a characterization of hyperbolic space using a geometric invariant that is defined for a class of manifolds asymptotic to hyperbolic space. This result is inspired by a characterization of Euclidean space called the rigidity of the Riemannian positive mass theorem in the context of general relativity. We discuss the history and context of our result, as well as some of the interesting elements of its proof
Contact Information: lihan.wang@uconn.edu More

10/73D Printing Workshop
3D Printing Workshop
Monday, October 7th, 2019
04:00 PM  05:00 PM
Storrs Campus
MONT 313Topics covered will be:
General requirements of 3D printing,
Meeting general requirements of 3D printing with Mathematica,
Exporting STL files from Mathematica,
Basic use of TinkerCad,
Importing STL files into TinkerCad,
Exporting STL files from TinkerCad.
What will not be covered:
Sending an STL file to the 3D printer.
(This will be an additional workshop and requires additional online training for information about hazardous materials.
)
Arrangements can be made to print interesting 3D models.
Contact Information: Kevin Marinelli, kevin.marinelli@uconn.edu More

10/8Clustering Seminar
Scalable Clustering
Guojon GanClustering Seminar
Tuesday, October 8th, 2019
Scalable Clustering
Guojon Gan
02:00 PM  03:00 PM
Storrs Campus
Monteith 245Continuing series of presentations on clustering by participants.
Contact Information: jeremy.teitelbaum@uconn.edu More

10/9Algebra Seminar
Newton Polygon Stratification of the Torelli Locus in PELtype Shimura Varieties
Wanlin Li (MIT)Algebra Seminar
Wednesday, October 9th, 2019
Newton Polygon Stratification of the Torelli Locus in PELtype Shimura Varieties
Wanlin Li (MIT)
11:15 AM  12:05 PM
Storrs Campus
Monteith 313A fundamental problem in arithmetic geometry is to determine which abelian varieties arise as Jacobians of (smooth) curves. In positive characteristic p, we study this problem from the moduli perspective by asking which Newton strata intersect the Torelli locus in the moduli of abelian varieties. In this talk, I will introduce a general picture where we try to answer this question by replacing $$A_g$$ with a Shimura variety of PELtype, and $$M_g$$ with a Hurwitz space of cyclic covers of $$P^1$$. Using an inductive method, when $$p = 2 \pmod 3$$, for all $$g$$, we prove the existence of a smooth curve of genus $$g$$ whose Newton polygon has about $$2g/3$$ slopes of $$1/2$$. This work is joint with Mantovan, Pries and Tang.
Contact Information: Mihai Fulger, mihai.fulger@uconn.edu More

10/9Math Club
Hilbert's 7th Problem
Keith Conrad (UConn)Math Club
Wednesday, October 9th, 2019
Hilbert's 7th Problem
Keith Conrad (UConn)
05:45 PM  06:35 PM
Storrs Campus
Monteith 226A number that is the root of a nonconstant polynomial with integer coefficients is called algebraic (it is related to integers by algebraic operations) and numbers that are not algebraic are called transcendental (they "transcend" the tools of algebra). For example, $$\sqrt{2}$$ is algebraic since it is a root of $$x^22$$, while $$\pi$$ is transcendental. Showing $$\pi$$ is transcendental is very hard!
Hilbert's 7th problem asks about the transcendence of certain exponential expressions $$a^b$$, such as $$2^{\sqrt{2}}$$. We will explain the background to this problem, how the solution turned out, and sketch the argument that a particular number (not $$\pi$$) is transcendental.
Note: Free pizza and drinks!
Contact Information: Keith Conrad More

10/11SIGMA Seminar
Connections on Manifolds; an Invitation to Riemannian Geometry
Gianmarco Molino (UConn)SIGMA Seminar
Friday, October 11th, 2019
Connections on Manifolds; an Invitation to Riemannian Geometry
Gianmarco Molino (UConn)
12:20 PM  01:10 PM
Storrs Campus
MONT 214Riemannian geometry deals with generalizing the notion of Euclidean space into spaces with curvature. This requires many new ideas to make sense of the natural notions of length, vector fields, derivatives, and many others. We will give an overview of these concepts, culminating with the notion of affine connections and parallel transport.
Contact Information: himchan.jeong@uconn.edu More

10/11Analysis and Probability Seminar
Growth of harmonic functions on lattices and nilpotent groups
Gabor Lippner (Northeastern University)Analysis and Probability Seminar
Friday, October 11th, 2019
Growth of harmonic functions on lattices and nilpotent groups
Gabor Lippner (Northeastern University)
01:30 PM  02:30 PM
Storrs Campus
MONT 313Abstract: Liouville's theorem, in its strong form, states that harmonic functions of polynomial growth are polynomials. I will describe a new proof of this wellknown theorem on Abelian and nilpotent groups. The method arises from the study of convexity properties of harmonic functions on discrete spaces. Joint work with Dan Mangoubi.
Contact Information: scott.zimmerman@uconn.edu More

10/11Logic Colloquium: Ethan Brauer (OSU)
Logic Colloquium: Ethan Brauer (OSU)
Friday, October 11th, 2019
01:30 PM  03:00 PM
Storrs Campus
Humantities Institute, 4th Floor Homer Babbidge LibraryJoin us for a talk in the Logic Colloquium!
Ethan Brauer (OSU):
A Modal Theory of Free Choice Sequences
Free choice sequences (also called 'infinitely proceeding sequences') are a concept from intuitionistic mathematics that are central to the development of the intuitionistic theory of the continuum. Free choice sequences have, however, been largely rejected or ignored both by classical and other constructive mathematicians. In this talk I argue that the objections to free choice sequences can be overcome by grounding the concept in our temporal intuition and formalizing the theory in modal logic. I will present a theory of free choice sequences as a modal extension of classical secondorder arithmetic. The resulting theory is able to prove modal versions of the intuitionist's axioms for socalled lawless sequences, suffices for the development of a theory of real number generators, and captures many results distinctive of intuitionistic analysis including the nonexistence of functions on real numbers with definable discontinuities.
All welcome.
https://logic.uconn.edu/
Contact Information: https://logic.uconn.edu/about/ More

10/11 Commutative Cluster Algebra Seminar
Title:
SpeakerCommutative Cluster Algebra Seminar
Friday, October 11th, 2019
Title:
Speaker
03:30 PM  04:30 PM
Storrs Campus
Monteith 313seminar
Contact Information: Ralf Schiffler, schiffler@math.uconn.edu More

10/11Analysis Learning Seminar
Introduction to Rough Path Theory
Guang Yang (UConn)Analysis Learning Seminar
Friday, October 11th, 2019
Introduction to Rough Path Theory
Guang Yang (UConn)
03:30 PM  04:30 PM
Storrs Campus
Monteith 214The theory of rough path can be briefly described as a nonlinear extension of the classical theory of controlled differential equations which is robust enough to allow a deterministic treatment of stochastic differential equations, or even differential equations driven by much rougher signals than semimartingales. In this talk, I will present the most fundamental ideas of the theory and discuss some examples.
Contact Information: Matthew Badger (matthew.badger@uconn.edu) More

10/14Actuarial Science Seminar
Risk Measures on Orlicz Spaces
Niushan Gao (Ryerson University)Actuarial Science Seminar
Monday, October 14th, 2019
Risk Measures on Orlicz Spaces
Niushan Gao (Ryerson University)
11:00 AM  12:00 PM
Storrs Campus
MONT 214For a coherent risk measure $$\rho: L^\infty \to \mathbb{R}$$, Delbaen (2002) proved that $$\rho$$ can be represented as the worst expectation over a class of probability measures whenever it has the Fatou property. Later, it has been asked whether Delbaen's representation theorem holds on more general model spaces containing unbounded positions. In this talk, we will present a comprehensive investigation on this problem for risk measures on Orlicz spaces. We firest characterize the Orlicz spaces over which the representation holds. We also show that the representation holds on general Orlicz spaces if the risk measures possess additional properties,
e.g., lawinvariance or surplusinvariance.
The talk is based on several joint papers with C. Munari, D. Leung,
and F. Xanthos.
Contact Information: bin.zou@uconn.edu More

10/14PDE and Differential Geometry Seminar
Hyperbolic metric on punctured Riemann surfaces
Junqing Qian (UCONN)PDE and Differential Geometry Seminar
Monday, October 14th, 2019
Hyperbolic metric on punctured Riemann surfaces
Junqing Qian (UCONN)
02:30 PM  03:30 PM
Storrs Campus
MONT 214TThe asymptotic expansion of the complete KE metric on the punctured sphere is the dimension one case of the asymptotic expansion on a quasiprojective manifold M\D, which was proposed by S. T. Yau. Several people have worked on this problem by using techniques from partial differential equations. In this talk, I will use analytic properties of the covering map, the Schwarzian derivative and the modular form to derive a precise asymptotic expansion on the punctured sphere. More precisely, the coefficients in the expansion will be uniquely determined up to two parameters. In a recent work joint with G. Cho, the KobayashiRoyden metric can be given as a consequence.
Contact Information: lihan.wang@uconn.edu More

10/15Clustering Seminar
Clustering Seminar
Tuesday, October 15th, 2019
02:00 PM  03:00 PM
Storrs Campus
Monteith 245Iddo BenAri and Jeremy Teitelbaum
Mixture Models and Topological Data Analysis
Contact Information: jeremy.teitelbaum@uconn.edu More

10/16Algebra Seminar
Algebra Seminar
Wednesday, October 16th, 2019
11:15 AM  12:05 PM
Storrs Campus
Monteith 313TBA
Contact Information: Mihai Fulger, mihai.fulger@uconn.edu More

10/16Math Club
Hilbert's 8th Problem
Brandon Alberts (UConn)Math Club
Wednesday, October 16th, 2019
Hilbert's 8th Problem
Brandon Alberts (UConn)
05:45 PM  06:35 PM
Storrs Campus
Monteith 226Prime numbers are the building blocks of the integers. Much like molecules are built from atoms, every integer breaks down into a product of prime numbers and you cannot break down a prime number into a product of smaller integers. In this talk, we will discuss some ways to study the structure of prime numbers, with special attention to three prime number questions included by Hilbert in his 8th problem: the Riemann Hypothesis, Goldbach's Conjecture, and the Twin Prime Conjecture. We will include recent developments, such as the proof of bounded gaps between primes.
Note: Free pizza and drinks!
Contact Information: Keith Conrad More

10/17Special Semester Talk
Unfitted finite element methods for PDEs posed on stationary and evolving surfaces
Maxim Olshanskii (U of Houston)Special Semester Talk
Thursday, October 17th, 2019
Unfitted finite element methods for PDEs posed on stationary and evolving surfaces
Maxim Olshanskii (U of Houston)
03:30 PM  04:30 PM
Storrs Campus
MONT 104Partial differential equations posed on surfaces arise in mathematical models for many natural phenomena: diffusion along grain boundaries, lipid interactions in biomembranes, pattern formation, and transport of surfactants on fluidic interfaces to mention a few. Numerical methods for solving PDEs posed on manifolds recently received considerable attention. In this talk, we discuss finite element methods to solve PDES on both stationary surfaces and surface with prescribed evolution. The focus of the talk is on geometrically unfitted methods, i.e. methods that avoid parametrization and triangulation of surfaces in a common sense. We explain how unfitted discretizations facilitate the development of a fully Eulerian numerical framework and enable easy handling of timedependent surfaces including the case of topological transitions. We consider two methods falling in this category: a method based on PDE extensions off the surface and its `dual’ that uses the restrictions of outer finite element spaces to solve PDE on the surface. The application of the latter technique known as Trace FEM or Cut FEM is further demonstrated for a sequence of problems of increasing complexity, ranging from the LaplaceBeltrami equation on a fixed domain to the evolving surface CahnHilliard equation, which models lateral phase separation in plasma membranes undergoing deformation and fusion.
Contact Information: Xiaodong Yan More

10/18SIGMA Seminar
A variational approach to standing pulse solutions of a skewgradient system
Jieun Lee (UConn)SIGMA Seminar
Friday, October 18th, 2019
A variational approach to standing pulse solutions of a skewgradient system
Jieun Lee (UConn)
12:20 PM  01:20 PM
Storrs Campus
MONT 214From vegetation patterns in an ecological system to propagating waves in a nerve conduction system, patterns emerge everywhere in nature. From a mathematical perspective, reaction
diffusion models are widely used to understand the mechanism underlying pattern formation. In
this talk, we introduce reactiondiffusion models with a skew gradient structure which
encompasses an important class of activatorinhibitor type systems that exhibit localized
patterns. A variational framework is proposed to show the existence of standing pulse solutions to a skewgradient system.
Contact Information: himchan.jeong@uconn.edu More

10/18Analysis and Probability Seminar
An Introduction to Caloric Measure
Alyssa Genschaw (UConn)Analysis and Probability Seminar
Friday, October 18th, 2019
An Introduction to Caloric Measure
Alyssa Genschaw (UConn)
01:30 PM  02:30 PM
Storrs Campus
MONT 313Abstract: We will define caloric measure by first looking at the definition of harmonic measure (the steady
state analogue of caloric measure) and some interpretations of harmonic measure. We look at extending
known results for harmonic measure to caloric measure, and discuss where some difficulties arise. We then
will give a brief overview of some recent results, including a Bourgaintype estimate, a criterion for nondoubling caloric measure to satisfy a weak reverse H¨older inequality, and that BMOsolvability implies scale
invariant quantitative absolute continuity of caloric measure with respect to surface measure.
Contact Information: scott.zimmerman@uconn.edu More

10/18 Commutative Cluster Algebra Seminar
Title:
SpeakerCommutative Cluster Algebra Seminar
Friday, October 18th, 2019
Title:
Speaker
03:30 PM  04:30 PM
Storrs Campus
Monteith 313seminar
Contact Information: Ralf Schiffler, schiffler@math.uconn.edu More

10/18Analysis Learning Seminar
Holonomy of Riemannian Manifolds and Berger's Classification
Gianmarco Molino (UConn)Analysis Learning Seminar
Friday, October 18th, 2019
Holonomy of Riemannian Manifolds and Berger's Classification
Gianmarco Molino (UConn)
03:30 PM  04:30 PM
Storrs Campus
Monteith 214Equipping a Riemannian manifold with an affine connection allows for a notion of parallel transport of vector fields. Considering loops based at a fixed point, the parallel transport induces a subgroup of the orthogonal transformations of the tangent space of vector fields known as the holonomy group of the manifold. The list of possible holonomy groups (classified by Cartan and Berger) is remarkably short, and there is a strong relationship between the holonomy group of a manifold and its global geometry, which we will explore in this talk.
Contact Information: Matthew Badger, matthew.badger@uconn.edu More

10/21PDE and Differential Geometry Seminar
Ellipticity of the Bartnik Boundary Conditions
Zhongshan An(UCONN)PDE and Differential Geometry Seminar
Monday, October 21st, 2019
Ellipticity of the Bartnik Boundary Conditions
Zhongshan An(UCONN)
02:30 PM  03:30 PM
Storrs Campus
MONT 214The Bartnik quasilocal mass is defined to measure the mass of a bounded manifold with boundary, where a collection of geometric boundary data — the socalled Bartnik boundary data— plays a key role. Bartnik proposed the open problem whether, on a given manifold with boundary, there exists a stationary vacuum metric so that the Bartnik boundary conditions are realized. In the effort to answer this question, it is important to prove the ellipticity of Bartnik boundary conditions for stationary vacuum metrics.
In this talk, I will start with an introduction to the Bartnik quasilocal mass and the moduli space of stationary vacuum metrics. Then I will explain the ellipticity result for the Bartnik boundary conditions and, as an application, derive a local result to the existence question.
Contact Information: lihan.wang@uconn.edu More

10/22Clustering Seminar
Dimensionality Reduction via tSNE  The mathematical theory and the remaining challenges
Stefan Steinerberger (Yale)Clustering Seminar
Tuesday, October 22nd, 2019
Dimensionality Reduction via tSNE  The mathematical theory and the remaining challenges
Stefan Steinerberger (Yale)
02:00 PM  03:00 PM
Storrs Campus
Monteith 313Abstract: tSNE has become the standard method of dimensionality
reduction in the medical sciences (clustering cell types, gene
expressions, etc.); amusingly (or maybe not amusingly), the
mathematical theory did not exist until recently. Even a basic
understanding of the mathematics immediately implies a series
of improvements  I will survey the existing arguments and discuss
a number of interesting problems; given the prevalence of tSNE
in medicine, even small improvements can affect a lot of research
within a very short period of time. Joint work with George Linderman.
Contact Information: jeremy.teitelbaum@uconn.edu More

10/23Math Club
Hilbert's 11th Problem
Jeremy Teitelbaum (UConn)Math Club
Wednesday, October 23rd, 2019
Hilbert's 11th Problem
Jeremy Teitelbaum (UConn)
05:45 PM  06:35 PM
Storrs Campus
Monteith 226Pythagorean Triples are integer solutions to $$x^2+y^2=z^2$$, like 3, 4, and 5. The study of this equation goes back to ancient Greece. Number theorists are interested in similar quadratic equations, allowing other coefficients (like $$3x^2+2y^2=5z^2$$) or more variables (like $$x^2+y^2z^2=5w^2$$). Before the 20th century, people like Lagrange, Legendre, Gauss, and Minkowski had developed a theory that predicted when such equations have nonzero rational solutions.
In his 11th Problem, Hilbert proposed totally resolving the theory of such quadratic equations that allow any number of variables and coefficients that are not just rational numbers but algebraic numbers. His problem was ultimately solved by Hasse using the idea of a "localglobal principle.''
In this talk I'll give examples of variants of the Pythagorean Triples problem, illustrate how to approach it, and give a sense of what a "localglobal principle'' is.
Note: Free pizza and drinks!
Contact Information: Keith Conrad More

10/24Special Semester Talk
Weak solutions, strong solutions, and prediction of the future in Newtonian models
Vladimir Sverak (U of Minnesota)Special Semester Talk
Thursday, October 24th, 2019
Weak solutions, strong solutions, and prediction of the future in Newtonian models
Vladimir Sverak (U of Minnesota)
03:30 PM  04:30 PM
Storrs Campus
Monteith 104An important principle of the Newtonian physics is that a
full knowledge of a given system at some moment of time together with
the equations of motion should uniquely determine the future of the
system. We describe the basic questions in this direction for
equations describing incompressible fluid flows, where our knowledge
is still incomplete. We will also discuss some model equations which
are similar in certain aspects and for which our understanding is
better.
Contact Information: Xiaodong Yan More

10/25PDE and Differential Geometry Seminar
Special talk
On some 1d model equations
Vladimir Sverak ( U of Minnesota)PDE and Differential Geometry Seminar
Friday, October 25th, 2019
Special talk
On some 1d model equations
Vladimir Sverak ( U of Minnesota)
11:00 AM  12:30 PM
Storrs Campus
MONT214There are 1dimensional models inspired by equations of fluid mechanic
which exhibit quite interesting behavior. Lesson learned from some of
the 1d models can be important for the original equations. We will
discuss a few examples, focusing mostly on the De Gregorio
modification of the ConstantinLaxMajda mod
Contact Information: lihan.wang@uconn.edu More

10/25Analysis and Probability Seminar
Convenient Coordinates
Brian Street (University of Wisconsin)Analysis and Probability Seminar
Friday, October 25th, 2019
Convenient Coordinates
Brian Street (University of Wisconsin)
01:30 PM  02:30 PM
Storrs Campus
MONT 313Abstract: We discuss the method of picking a convenient coordinate system adapted to vector fields. Let $$X_1,\ldots,X_q$$ be either real or complex $$C^1$$ vector fields. We discuss the question of when there is a coordinate system in which the vector fields are smoother (e.g., $$C^m$$, or $$C^\infty$$, or real analytic). By answering this in a quantitative way, we obtain coordinate charts which can be used as generalized scaling maps. When the vector fields are real this is joint work with Stovall, and continues in the line of quantitative subRiemannian geometry initiated by Nagel, Stein, and Wainger. When the vector fields are complex one obtains a geometry with more structure which can be thought of as "subHermitian".
Contact Information: scott.zimmerman@uconn.edu More

10/25HistAnalytic talk: Philip Ebert (Stirling) on Frege
HistAnalytic talk: Philip Ebert (Stirling) on Frege
Friday, October 25th, 2019
01:30 PM  03:00 PM
Storrs Campus
Humantities Institute, 4th Floor Homer Babbidge LibraryUConn History of Analytical Philosophy Workshop
Join us for a talk by Philip A. Ebert (Stirling) on Frege!
Details t.b.a.
https://rossberg.philosophy.uconn.edu/histanalytic/
Contact Information: Marcus Rossberg, histanalytic.uconn@gmail.com More

10/25 Commutative Cluster Algebra Seminar
Title: EisenbudGreenHarris Conjecture for quadratic ideals
Speaker: Sema GunturkunCommutative Cluster Algebra Seminar
Friday, October 25th, 2019
Title: EisenbudGreenHarris Conjecture for quadratic ideals
Speaker: Sema Gunturkun
03:30 PM  04:30 PM
Storrs Campus
Monteith 313Abstract: The EisenbudGreenHarris (EGH) conjecture states that a homogeneous ideal in a polynomial ring K[x1, . . . , xn] over a field K that contains a regular sequence with given degrees a1, . . . , an has the same Hilbert function as a lexpluspowers ideal containing the powers of the variables xi with the degrees ai. We discuss a case of the EGH conjecture for homogeneous ideals generated by quadrics containing a regular sequence of full length and talk about our result that gives an affirmative answer to EGH when n = 5. This is a joint work with Mel Hochster.
Contact Information: Ralf Schiffler, schiffler@math.uconn.edu More

10/25Algebra Seminar
Claudiu Raicu (Notre Dame University)
TBAAlgebra Seminar
Friday, October 25th, 2019
Claudiu Raicu (Notre Dame University)
TBA
03:30 PM  04:20 PM
Storrs Campus
Monteith 313TBA
Contact Information: Mihai Fulger, mihai.fulger@uconn.edu More

10/25Analysis Learning Seminar
dbar Neumann problems and geometric applications in several complex variables
Gunhee Cho (UConn)Analysis Learning Seminar
Friday, October 25th, 2019
dbar Neumann problems and geometric applications in several complex variables
Gunhee Cho (UConn)
03:30 PM  04:30 PM
Storrs Campus
Monteith 214We will introduce dbar Neumann operator and subelliptic estimates on pseudoconvex domains in $$\mathbb{C}^n$$ and we will try to see geometric applications that are very closely related to complex geometry, subRiemannian geometry, and CRgeometry and algebraic geometry.
Contact Information: Matthew Badger (matthew.badger@uconn.edu) More

10/25Logic Colloquim: Peter Pagin (Stockholm)
Logic Colloquim: Peter Pagin (Stockholm)
Friday, October 25th, 2019
04:00 PM  05:30 PM
Storrs Campus
MCHU 106Join us in the Logic Colloquium for a talk:
Peter Pagin (Stockholm)
Indexicals, Time, and Compositionality
Abstract:
Kaplan’s official argument in “Demonstratives” for Temporalism, the view that some English sentences express propositions that can vary in truth value across time, is the socalled Operator Argument: temporal operators, such as “sometimes”, would be vacuous without such propositions.
Equally important is the argument from compositionality. Without temporal propositions, the sentences
(1) It is raining where John is
(2) It is raining where John is now
would express the same proposition. But they embed differently:
(3) Sometimes, it is raining where John is
(4) Sometimes it is raining where John is now
(3) and (4) express distinct propositions, so if they both are of the form “Sometimes, p”, and if (1) and (2) express the same proposition, we have a violation of compositionality.
In this talk it is shown that with Switcher Semantics, which allows for a generalized form of compositionality, we can have the result that (1) and (2) agree in content when unembedded (assertoric content) but differ in content when embedded under temporal operators (ingredient sense).
We can also show that Switcher Semantics, over Kaplan’s models, preserves the validities in the Logic of Demonstratives. All in all, the arguments for Temporalism are substantially undermined.
https://logic.uconn.edu/calendar/
All welcome!
Contact Information: https://logic.uconn.edu/about/ More

10/28PDE and Differential Geometry Seminar
TBA
Jieun Lee(UCONN)PDE and Differential Geometry Seminar
Monday, October 28th, 2019
TBA
Jieun Lee(UCONN)
02:30 PM  03:30 PM
Storrs Campus
MONT 214TBA
Contact Information: lihan.wang@uconn.edu More

10/28Connecticut Logic Seminar
Closure algebras that are existentially closed
Philip Scowcroft (Wesleyan University)Connecticut Logic Seminar
Monday, October 28th, 2019
Closure algebras that are existentially closed
Philip Scowcroft (Wesleyan University)
04:45 PM  06:00 PM
Storrs Campus
Exley Science Center 618, Wesleyan UniversityIn papers of 1944 and 1946, McKinsey and Tarski initiated the study of closure algebras—Boolean algebras equipped with an operation obeying a version of Kuratowski’s axioms—and in 1948 they applied their results to reach conclusions about intuitionistic logic and the modal logic S4. In 1982 Lipparini found nonelementary axioms for existentially closed (e.c.) closure algebras and showed that they do not form an elementary class. After outlining Lipparini’s results from a different perspective, this talk will provide new information about closure algebras that are e.c., (finitely or infinitely) generic, or algebraically closed.
Contact Information: Reed Solomon, david.solomon@uconn.edu More

10/29Clustering Seminar
No Meeting TodayClustering Seminar
Tuesday, October 29th, 2019
No Meeting Today
02:00 PM  03:00 PM
Storrs Campus
Monteith 245Continuing series of presentations on clustering by participants.
Contact Information: jeremy.teitelbaum@uconn.edu More

10/29Analysis and Probability Seminar
Discrete and continuous Dirac systems and structured operators
Alexander Sakhnovich (University of Vienna)Analysis and Probability Seminar
Tuesday, October 29th, 2019
Discrete and continuous Dirac systems and structured operators
Alexander Sakhnovich (University of Vienna)
03:30 PM  04:30 PM
Storrs Campus
MONT 414Abstract: Both discrete and continuous Diractype systems play an important role in several domains of mathematics. Direct and inverse problems for these systems are closely connected with structured operators. Moreover, discrete Dirac systems may be considered as analogs and sometimes alternatives of the famous Szeg\"o recurrencies from the theory of orthogonal polynoimials. The talk is dedicated to Dirac systems and mentioned above interconnections.
Contact Information: scott.zimmerman@uconn.edu More

10/30Algebra Seminar
Takumi Murayama (Princeton University)Algebra Seminar
Wednesday, October 30th, 2019
Takumi Murayama (Princeton University)
11:15 AM  12:05 PM
Storrs Campus
Monteith 313TBA
Contact Information: Mihai Fulger, mihai.fulger@uconn.edu More

10/30Mathematical finance and applied probability seminar
TBA
Albina Danilova (London School of Economics)Mathematical finance and applied probability seminar
Wednesday, October 30th, 2019
TBA
Albina Danilova (London School of Economics)
04:00 PM  05:00 PM
Storrs Campus
MONT 313TBA
Contact Information: Oleksii Mostovyi More

10/30Math Club
Hilbert's 19th Problem
Damin Wu (UConn)Math Club
Wednesday, October 30th, 2019
Hilbert's 19th Problem
Damin Wu (UConn)
05:45 PM  06:35 PM
Storrs Campus
Monteith 226TBA
Note: Free pizza and drinks!
Contact Information: Keith Conrad More

10/31Mathematics Colloquium
Adding Optionality
Peter Carr (NYU)Mathematics Colloquium
Thursday, October 31st, 2019
Adding Optionality
Peter Carr (NYU)
03:30 PM  04:30 PM
Storrs Campus
MONT 214Nonclassical arithmetics replace ordinary addition and/or multiplication in standard arithmetic with other binary operations called pseudoaddition and multiplication. Dynamic nonclassical arithmetic (DNA) allows a different nonclassical arithmetic to be used at each time. We apply DNA to enhance our understanding of the logistic distribution in probability theory. We also apply DNA to develop a novel arbitragefree option pricing model in finance. Under our approach, European option valuation reduces to pseudoaddition of spot and strike, while Bermudan option valuation reduces to repeated pseudoaddition. Simple and realistic closedform formulas are easily generated in both cases.
Contact Information: KyuHwan Lee More