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Actuarial Science Seminar

Application of Bayesian sensitivity analysis in compound risk model with random effects

Himchan Jeong (UCONN)

Monday, January 28th, 201911:00 AM - 12:00 PM

Storrs Campus

MONT 214

Abstract: The generalized linear model (GLM) is a statistical model which has been widely used in actuarial practice, especially for insurance ratemaking. Due to the inherent longitudinal property of P&C insurance claim dataset, there have been some trials of incorporating unobserved heterogeneity of each policyholder from the repeated measurements. To achieve this goal, random effects model has been proposed but there was less theoretical discussion on the methods to test the presence of random effects in GLM framework.

In this article, the concept of Bregman divergence is explored, which has some good properties for statistical modeling and can be connected to diverse model selection diagnostics as in Goh and Dey (2014). We can apply model diagnostics derived from the Bregman divergence for testing robustness of priors both on the naive model, which assumes that random effect has point mass as its prior density, and the proposed model, which assumes a continuous prior density of random effect. This approach provides the insurance companies concrete framework for testing the presence of random effects in both claim frequency and severity and furthermore appropriate hierarchical model which can explain both observed and unobserved heterogeneity of the policyholders for insurance ratemaking. Both models are calibrated using a claim dataset from the

Wisconsin Local Government Property Insurance Fund which includes both observed claim counts and amounts from a portfolio of policyholders.

In this article, the concept of Bregman divergence is explored, which has some good properties for statistical modeling and can be connected to diverse model selection diagnostics as in Goh and Dey (2014). We can apply model diagnostics derived from the Bregman divergence for testing robustness of priors both on the naive model, which assumes that random effect has point mass as its prior density, and the proposed model, which assumes a continuous prior density of random effect. This approach provides the insurance companies concrete framework for testing the presence of random effects in both claim frequency and severity and furthermore appropriate hierarchical model which can explain both observed and unobserved heterogeneity of the policyholders for insurance ratemaking. Both models are calibrated using a claim dataset from the

Wisconsin Local Government Property Insurance Fund which includes both observed claim counts and amounts from a portfolio of policyholders.

Contact Information: Bin Zou, bin.zou@uconn.edu
More

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PDE and Differential Geometry Seminar

The Gauss Image Problem

Yiming Zhao, MIT

Monday, January 28th, 201902:30 PM - 03:30 PM

Storrs Campus

MONT 214

In this talk, the Gauss image problem for convex bodies will be introduced. This problem includes the Aleksandrov problem as its special case. The essense of the problem is an attempt to a deeper understanding of the Gauss image map.

In the smooth category, the Gauss image problem reduces to an equation of Monge-Ampère type. However, in this talk, we shall focus on the problem in the general setting (rather than imposing any non-necessary smoothness assumptions). Existence and uniqueness results will be presented.

This is a joint work with Károly Böröczky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang.

In the smooth category, the Gauss image problem reduces to an equation of Monge-Ampère type. However, in this talk, we shall focus on the problem in the general setting (rather than imposing any non-necessary smoothness assumptions). Existence and uniqueness results will be presented.

This is a joint work with Károly Böröczky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang.

Contact Information: Wang, lihan.wang@uconn.edu
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Algebra Seminar

Frieze varieties: A characterization of the finite-tame-wild trichotomy for acyclic quivers

Ralf Schiffler (University of Connecticut)

Wednesday, January 30th, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

Given a quiver (=oriented graph) without oriented cycles, one can construct its frieze variety. It is defined in an elementary recursive way by constructing a set of points in affine space. From a more conceptual viewpoint, the coordinates of these points are specializations of cluster variables in the cluster algebra associated to the quiver.

We give a new characterization of the finite--tame--wild trichotomy for acyclic quivers in terms of their frieze varieties. We show that an acyclic quiver is representation finite, tame, or wild, respectively, if and only if the dimension of its frieze variety is 0,1 or >1, respectively. This is a joint work with Lee, Li, Mills and Seceleanu

We give a new characterization of the finite--tame--wild trichotomy for acyclic quivers in terms of their frieze varieties. We show that an acyclic quiver is representation finite, tame, or wild, respectively, if and only if the dimension of its frieze variety is 0,1 or >1, respectively. This is a joint work with Lee, Li, Mills and Seceleanu

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Math Club

Inequalities

Guozhen Lu (UConn)

Wednesday, January 30th, 201905:45 PM - 06:35 PM

Storrs Campus

Monteith 321

In this talk, we will introduce two famous inequalities: the Cauchy-Bunyakovsky-Schwarz inequality and the arithmetic-geometric mean inequality. These are very classical, elementary but very useful inequalities which have applications in many branches of mathematics including analysis, probability theory and partial differential equations. We will provide brief proofs of these inequalities and give some simple applications of them.

Contact Information: Keith Conrad (kconrad@math.uconn.edu)
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S.I.G.M.A. Seminar

Gianmarco Molino

Gauss-Bonnet Theorem

Friday, February 1st, 201912:20 PM - 01:10 PM

Storrs Campus

MONT 214

The classical Gauss-Bonnet theorem is a powerful statement, relating purely topological properties of surface to analytical ones. We will look at its implications, methods of proof, and how it began the active research area known as Index Theory.

Contact Information: Lisa Naples
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Analysis and Probability Seminar

Recent developments on Falconer's distance set problem

Yumeng Ou (CUNY)

Friday, February 1st, 201901:30 PM - 02:30 PM

Storrs Campus

MONT 313

Abstract: The Falconer Conjecture says that if $$E$$ is a compact set in $$\mathbb{R}^d$$ with Hausdorff dimension larger than $$d/2$$, then its distance set, consisting of all distinct distances generated by points in $$E$$, should have strictly positive Lebesgue measure. This conjecture remains open in all dimensions $$d \geq 2$$. In this talk we will discuss several recent developments on it, which are joint works with Xiumin Du, Larry Guth, Alex Iosevich, Hong Wang, Bobby Wilson, and Ruixiang Zhang.

Contact Information: Scott Zimmerman, scott.zimmerman@uconn.edu
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### Logic Colloquium: Shay Logan

Friday, February 1st, 201902:30 PM - 04:00 PM

Storrs Campus

Humanities Institute seminar room, Babbidge Library, 4th Floor

Join us for a talk by former Logic Group postdoc Shay Logan in the Logic Colloquium!

Shay Logan (Macalester)

"Logic is Contractionless and Relevant, but Logic is (Accidentally) Contractionless and Relevant: An Introduction to Deep Fried Logic"

Abstract:

Logic, according to Beall, is the universal entailment relation. I claim that this forces us to accept that logic is contractionless and relevant. But neither relevance nor contraction-freedom, important as these features have been in the literature on logic and its philosophy, play a role in my argument. Instead, they are emergent features -- logical accidents, if you will. Along the way I will familiarize us with a novel (and delicious) semantic theory that I call deep fried semantics.

https://logic.uconn.edu/

Shay Logan (Macalester)

"Logic is Contractionless and Relevant, but Logic is (Accidentally) Contractionless and Relevant: An Introduction to Deep Fried Logic"

Abstract:

Logic, according to Beall, is the universal entailment relation. I claim that this forces us to accept that logic is contractionless and relevant. But neither relevance nor contraction-freedom, important as these features have been in the literature on logic and its philosophy, play a role in my argument. Instead, they are emergent features -- logical accidents, if you will. Along the way I will familiarize us with a novel (and delicious) semantic theory that I call deep fried semantics.

https://logic.uconn.edu/

Contact Information: https://logic.uconn.edu/
More

###
PDE and Differential Geometry Seminar

H-type foliations

Fabrice Baudoin (UCONN).

Monday, February 4th, 201902:30 PM - 03:30 PM

Storrs Campus

MONT 214

With a view toward sub-Riemannian geometry, we introduce and study H-type foliations. These structures are natural generalizations of K-contact geometries which encompass as special cases K-contact manifolds, twistor spaces, 3K-contact manifolds and H-type groups. Under an horizontal Ricci curvature lower bound, we prove on those structures sub-Riemannian diameter upper bounds and first eigenvalue estimates for the sub-Laplacian. Then, using a result by Moroianu-Semmelmann , we classify the H-type foliations that carry a parallel horizontal Clifford structure. Finally, we prove an horizontal Einstein property and compute the horizontal Ricci curvature of those spaces in co-dimension more than 2.

This is joint work with Erlend Grong, Gianmarco Molino and Luca Rizzi.

This is joint work with Erlend Grong, Gianmarco Molino and Luca Rizzi.

Contact Information: Wang, lihan.wang@uconn.edu
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Algebra Seminar

Counting tropical curves by quiver representation

Mandy Cheung (Harvard University)

Wednesday, February 6th, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

Mikhalkin established the correspondence between holomorphic curves and tropical curves on toric surfaces. The result is generalized by Nishinou and Siebert and many others. Tropical curves counting is also applied in mirror symmetry. Together with Travis Mandel, we show how quiver representations can be used for this counting problem.

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Math Club

The Contraction Mapping Theorem

Arthur Parzygnat (UConn)

Wednesday, February 6th, 201905:45 PM - 06:35 PM

Storrs Campus

Monteith 321

Many fractals can be described as the limit of an iterative process. One theorem that guarantees such a limit exists is the contraction mapping theorem. To explain how this works, we will first define a metric space, which is a mathematical object formalizing the intuitive notion of distance. As an example, we will discover a measure of distance helping us identify when two figures look similar.

Certain functions on metric spaces, called contractions, decrease the distance between points. Contractions can be used to prove a variety of interesting theorems such as convergence of Newton's approximation method, the inverse function theorem from calculus, the existence and uniqueness of solutions to ordinary differential equations, steady state probability distributions under suitable Markov chains, and fractals. We will focus primarily on applying this theorem to construct certain fractals.

Certain functions on metric spaces, called contractions, decrease the distance between points. Contractions can be used to prove a variety of interesting theorems such as convergence of Newton's approximation method, the inverse function theorem from calculus, the existence and uniqueness of solutions to ordinary differential equations, steady state probability distributions under suitable Markov chains, and fractals. We will focus primarily on applying this theorem to construct certain fractals.

Contact Information: Keith Conrad (kconrad@math.uconn.edu)
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Actuarial Science Seminar

Modeling the exposure in count data

Jae Youn Ahn (Ewha Womans University)

Thursday, February 7th, 201902:00 PM - 03:00 PM

Storrs Campus

MONT214

Title: Modeling the exposure in count data

Speaker: Jae Youn Ahn (Ewha Womans University)

In count regression models, offset variables, often called exposures, are used to adjust for counts of events over time periods, areas or volumes depending on the problems specified. While it is widely used in count regression settings, there is no single agreed definition of offset except for the Poisson regression model. In this talk, we propose a novel approach to define the offset in general count regression models, and investigate accompanying properties. Various forms of offset in various count distribution including zero-inflated distributions are investigated as examples.

Speaker: Jae Youn Ahn (Ewha Womans University)

In count regression models, offset variables, often called exposures, are used to adjust for counts of events over time periods, areas or volumes depending on the problems specified. While it is widely used in count regression settings, there is no single agreed definition of offset except for the Poisson regression model. In this talk, we propose a novel approach to define the offset in general count regression models, and investigate accompanying properties. Various forms of offset in various count distribution including zero-inflated distributions are investigated as examples.

Contact Information: Guojun Gan (guojun.gan@uconn.edu)
More

###
S.I.G.M.A. Seminar

Jeongwoo Yu

Quantum groups and Crystal bases: Representation Theory and Combinatorics

Friday, February 8th, 201912:20 PM - 01:10 PM

Storrs Campus

MONT 214

The quantum group is a q-analogue of the universal enveloping algebra of a Lie algebra and it is an important object in representation theory. One of the important tools for studying the quantum group is its crystal basis. Moreover, Young Tableaux are used to describe the crystal basis of quantum group of type A.

I will introduce the quantum group and crystal basis and present their combinatorial interpretation. If time permits, I will also introduce the generalized quantum group and its crystal basis.

I will introduce the quantum group and crystal basis and present their combinatorial interpretation. If time permits, I will also introduce the generalized quantum group and its crystal basis.

Contact Information: Lisa Naples
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Analysis and Probability Seminar

Nonparametric inference of interaction laws in particles/agent systems

Fei Lu (Johns Hopkins University)

Friday, February 8th, 201901:30 PM - 02:30 PM

Storrs Campus

MONT 313

Abstract: Self-interacting systems of particles/agents arise in many areas of science, such as particle systems in physics, flocking and swarming models in biology, and opinion dynamics in social science. An interesting question is to learn the laws of interaction between the particles/agents from data consisting of trajectories. In the case of distance-based interaction laws, we present efficient regression algorithms to estimate the interaction kernels, and we develop a nonparametric statistical learning theory addressing identifiability, consistency and optimal rate of convergence of the estimators. Especially, we show that despite the high-dimensionality of the systems, optimal learning rates can still be achieved. An open question related to identifiability will be discussed. (Joint work with Mauro Maggioni, Sui Tang and Ming Zhong).

Contact Information: Scott Zimmerman, scott.zimmerman@uconn.edu
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PDE and Differential Geometry Seminar

Title TBA

Speaker TBA.

Monday, February 11th, 201902:30 PM - 03:30 PM

Storrs Campus

MONT 214

TBA

Contact Information: Wang, lihan.wang@uconn.edu
More

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Algebra Seminar

Kirillov-Reshetikhin modules over generalized quantum group and their crystal bases

Jae-Hoon Kwon (Seoul National University)

Wednesday, February 13th, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

The generalized quantum group of type A is an affine analogue of quantum group associated to a general linear Lie superalgebra.

We show that there exists a family of its finite-dimensional simple modules with crystal bases, which is a natural super analogue of Kirillov-Reshetikhin modules over the quantum groups of type $$A_n^{(1)}$$. We also have a nice combinatorial description of the crystal structure of these modules, the combinatorial R-matrix, and energy function on their tensor products. This is a joint work with Masato Okado.

We show that there exists a family of its finite-dimensional simple modules with crystal bases, which is a natural super analogue of Kirillov-Reshetikhin modules over the quantum groups of type $$A_n^{(1)}$$. We also have a nice combinatorial description of the crystal structure of these modules, the combinatorial R-matrix, and energy function on their tensor products. This is a joint work with Masato Okado.

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Math Club

Calculus of Finite Differences

Anastasiia Minenkova (UConn)

Wednesday, February 13th, 201905:45 PM - 06:35 PM

Storrs Campus

Monteith 321

This talk is an introduction to discrete calculus, which is widely used in computations and applied mathematics. How does one compute sums like $$

\sum_{k=1}^n k^2$$ and $$\sum_{k=1}^n k 2^k?$$ We will discuss a systematic way to find such formulas using discrete analogues of integrals, derivatives, the Fundamental Theorem of Calculus, etc.

Note: Free Refreshments!

\sum_{k=1}^n k^2$$ and $$\sum_{k=1}^n k 2^k?$$ We will discuss a systematic way to find such formulas using discrete analogues of integrals, derivatives, the Fundamental Theorem of Calculus, etc.

Note: Free Refreshments!

Contact Information: Keith Conrad (kconrad@math.uconn.edu)
More

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Discrete Mathematics and Statistical Mechanics Seminar

Uniform large deviations principles and applications to the exit problem for SPDEs

Mickey Salins (Boston University)

Thursday, February 14th, 201902:30 PM - 03:30 PM

Storrs Campus

MONT214

I will discuss the problem of characterizing Freidlin-Wentzell exit time and exit shape asymptotics from a domain of attraction for a stochastically perturbed partial differential equation (SPDE). This analysis requires proving that the sample paths of the SPDE satisfy certain large deviations principles that are uniform over bounded subsets of initial conditions (in a specified function space). Budhiraja, Dupuis, and Maroulas (2008) demonstrated that a weak-convergence approach can be used to prove uniform large deviations that are uniform over compact sets of initial conditions, but compact sets in infinite dimensional function spaces are too degenerate to be useful for these problems. I will discuss recent advancements that allow us to use similar methods to prove uniform large deviations principles over (non-compact) bounded sets and in some cases we can prove uniformity over the entire function space, enabling the extension of Freidlin-Wentzell theory to SPDEs. Joint work with Amarjit Budhiraja, Paul Dupuis, and Konstantinos Spiliopoulos.

Contact Information: Zhongyang Li
More

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S.I.G.M.A. Seminar

Application of Bayesian sensitivity analysis in compound risk model with random effects

Himchan Jeong

Friday, February 15th, 201912:20 PM - 01:10 PM

Storrs Campus

MONT 214

The generalized linear model (GLM) is a statistical model which has been widely used in actuarial practice, especially for insurance ratemaking. Due to the inherent longitudinal property of P&C insurance claim dataset, there have been some trials of incorporating unobserved heterogeneity of each policyholder from the repeated measurements. To achieve this goal, random effects model has been proposed but there was less theoretical discussion on the methods to test the presence of random effects in GLM framework.

In this article, the concept of Bregman divergence is explored, which has some good properties for statistical modeling and can be connected to diverse model selection diagnostics as in Goh and Dey (2014). We can apply model diagnostics derived from the Bregman divergence for testing robustness of priors both on the naive model, which assumes that random effect has point mass as its prior density, and the proposed model, which assumes a continuous prior density of random effect. This approach provides the insurance companies concrete framework for testing the presence of random effects in both claim frequency and severity and furthermore appropriate hierarchical model which can explain both observed and unobserved heterogeneity of the policyholders for insurance ratemaking. Both models are calibrated using a claim dataset from the

Wisconsin Local Government Property Insurance Fund which includes both observed claim counts and amounts from a portfolio of policyholders.

In this article, the concept of Bregman divergence is explored, which has some good properties for statistical modeling and can be connected to diverse model selection diagnostics as in Goh and Dey (2014). We can apply model diagnostics derived from the Bregman divergence for testing robustness of priors both on the naive model, which assumes that random effect has point mass as its prior density, and the proposed model, which assumes a continuous prior density of random effect. This approach provides the insurance companies concrete framework for testing the presence of random effects in both claim frequency and severity and furthermore appropriate hierarchical model which can explain both observed and unobserved heterogeneity of the policyholders for insurance ratemaking. Both models are calibrated using a claim dataset from the

Wisconsin Local Government Property Insurance Fund which includes both observed claim counts and amounts from a portfolio of policyholders.

Contact Information: Lisa Naples
More

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Analysis and Probability Seminar

The bi-Lipschitz embedding problem

Vyron Vellis (University of Connecticut)

Friday, February 15th, 201901:30 PM - 02:30 PM

Storrs Campus

MONT 313

Abstract: To improve our understanding of a metric space, it is often helpful to realize the space within some Euclidean space. The embedding problem is concerned with recognizing those spaces which admit a bi-Lipschitz embedding into some Euclidean space, that is, an embedding that does not distort its geometry too much. The embedding problem has recently generated great interest in theoretical computer science and, more specifically, in graphic imaging and storage and access issues for large data sets. In this talk we examine the embedabbility of two important sub-Riemannian manifolds, the Grushin plane and the Heisenberg group. This talk is based on joint work with V. Chousionis, S. Li and S. Zimmerman.

Contact Information: Scott Zimmerman, scott.zimmerman@uconn.edu
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Analysis Learning Seminar

Title: Measuring level sets using topological Hausdorff dimension.

Patricia Alonso-Ruiz

Friday, February 15th, 201903:30 PM - 04:30 PM

Storrs Campus

MONT 313

Abstract: This talk will discuss the concept of topological Hausdorff dimension for compact metric spaces and how it can be used to describe the size of levels sets of continuous real-valued functions.

Contact Information: Murat Akman (murat.akman@uconn.edu) and Vyron Vellis (vyron.vellis@uconn.edu)
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PDE and Differential Geometry Seminar

Title TBA

Speaker TBA.

Monday, February 18th, 201902:30 PM - 03:30 PM

Storrs Campus

MONT 214

TBA

Contact Information: Wang, lihan.wang@uconn.edu
More

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Algebra Seminar

Title TBA

Speaker TBA

Wednesday, February 20th, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

TBA

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Math Club

Integrality of Binomial Coefficients

Emily Gunawan (UConn)

Wednesday, February 20th, 201905:45 PM - 06:35 PM

Storrs Campus

Monteith 321

Binomial coefficients have been studied since the tenth century and appear in many places. They are integers, but from some of the ways of defining them this property is not evident! We will present various proofs of the integrality of the binomial coefficients using techniques such as a recursion, combinatorics, calculus, and group theory. Time permitting, we will discuss a generalization called a $$q$$-analogue, where the non-obvious property of being an integer is replaced by the non-obvious property of being a polynomial.

Contact Information: Keith Conrad (kconrad@math.uconn.edu)
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Mathematics Colloquium

Nice Sets of Points on the Sphere (with hints of Number Theory and Graph Theory)

Stefan Steinerberger (Yale University)

Thursday, February 21st, 201904:00 PM - 05:00 PM

Storrs Campus

MONT 214

Suppose someone asks you to distribute 4 points on the sphere in a nice and regular way. You would probably pick vertices of a tetrahedron. A cube for 8, a dodecahedron for 12 and an icosahedron for 20. But what if someone asks you to distribute 21 points? We are out of Platonic Bodies! I will discuss an old idea of Sobolev who proposed to put them in such a way that the average of polynomials in these points coincides with the average of polynomials on the sphere for as many polynomials as possible. This recovers the Platonic Bodies and suggests many questions. I will discuss some of them, make a quick detour into Analytic Number Theory and then tell you how to do it on Graphs. This allows us, for any Graph, to define "Platonic Bodies in the Graph". These are absolutely gorgeous, very beautiful sets that even have some surprising applications -- I promise you many nice pictures and many open problems!

Contact Information: Janna Lierl
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S.I.G.M.A. Seminar

"What is... An Elliptic Curve?" From Bitcoin to Self-Driving Vehicles

Emma Previato

Friday, February 22nd, 201912:20 PM - 01:10 PM

Storrs Campus

MONT 214

From the title article by Á. Lozano-Robledo and H.B. Daniels(AMS Notices, 2017) to the current "The Ubiquity of Elliptic Curves" by E.H. Goins (AMS Notices, 2019), what is the reason for 'The unreasonable effectiveness of elliptic curves'? This talk will illustrate the role of elliptic curves, and more generally Algebraic Geometry, in Mathematical Physics, Information Theory and Cryptography, and Machine Learning, presenting some of the speaker's results and open questions for future research.

Contact Information: Lisa Naples
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Analysis and Probability Seminar

Discrete Curvature: a brief overview

Prasad Tetali (Georgia Tech)

Friday, February 22nd, 201901:30 PM - 02:30 PM

Storrs Campus

MONT 313

Abstract: Inspired by the recent developments in differential geometry and calculus of variations, there have been several approaches to identifying a suitable notion of local (Ricci) curvature on non-smooth spaces, such as graphs and Markov chains. I will describe some of these approaches and review a few recent developments in this topic on discrete curvature. Some of the consequences include a tight Cheeger inequality in abelian Cayley graphs, and diameter bounds on the spectral gap of the graph Laplacian. Several open questions remain.

Contact Information: Scott Zimmerman, scott.zimmerman@uconn.edu
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Analysis Learning Seminar

Title: Asymptotically hyperbolic manifolds in General Relativity

Hyun Jang

Friday, February 22nd, 201903:30 PM - 04:30 PM

Storrs Campus

MONT 313

Abstract: The notion of asymptotically hyperbolic manifolds arises largely from two different contexts: as a compactifiable manifold by conformal deformation (like the Poincarè ball), or as an initial data set in general relativity (like a hyperboloid in the Minkowski space). This talk will mainly focus on the latter case. Beginning with the Einstein Field Equations, I am going to introduce an initial data set, Einstein constraint equations, and how the concept of asymptotically hyperbolic manifolds arises naturally. From there, I will talk about the positive mass theorem for asymptotically hyperbolic manifolds, and relevant result of the joint work with Huang and Martin, which concerns about the rigidity property of the mass.

I will also briefly mention the context of conformally compactifiable manifolds and some interesting results.

I will also briefly mention the context of conformally compactifiable manifolds and some interesting results.

Contact Information: Murat Akman (murat.akman@uconn.edu) and Vyron Vellis (vyron.vellis@uconn.edu)
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PDE and Differential Geometry Seminar

Title TBA

Speaker TBA.

Monday, February 25th, 201902:30 PM - 03:30 PM

Storrs Campus

MONT 214

TBA

Contact Information: Wang, lihan.wang@uconn.edu
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### Geometric Flow Seminar

Monday, February 25th, 201904:00 PM - 05:00 PM

Storrs Campus

MONT214

Learning seminar in geometric flow

Contact Information: Lihan Wang, lihan.wang@uconn.edu
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Algebra Seminar

Title TBA

Speaker TBA

Wednesday, February 27th, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

TBA

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Math Club

Zero Sets of Polynomials: Analytic vs Geometric Regularity

Matthew Badger (UConn)

Wednesday, February 27th, 201905:45 PM - 06:35 PM

Storrs Campus

Monteith 321

TBA

Contact Information: Keith Conrad (kconrad@math.uconn.edu)
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Mathematics Colloquium

The HRT Conjecture

Kasso Okoudjou (University of Maryland/MIT)

Thursday, February 28th, 201904:00 PM - 05:00 PM

Storrs Campus

MONT 214

Given a non-zero square integrable function $$g$$ and $$\Lambda=\{(a_k, b_k)\}_{k=1}^N \subset \mathbb{R}^2$$ let \( \mathcal{G}(g, \Lambda)=\{e^{2\pi i b_k \cdot}g(\cdot - a_k)\}_{k=1}^N.\) The Heil-Ramanathan-Topiwala (HRT) Conjecture is the question of whether $$\mathcal{G}(g, \Lambda)$$ is linearly independent. For the last two decades, very little progress has been made in settling the conjecture. In the first part of the talk, I will give an overview of the state of the conjecture. I will then describe some recent attempts in settling the conjecture for some special classes of functions.

Contact Information: Alexander Teplyaev
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Analysis Learning Seminar

Title: State transfer in quantum spin chains

Maksym Derevyagin

Friday, March 1st, 201903:30 PM - 04:30 PM

Storrs Campus

MONT 313

Abstract: We will consider some mathematical aspects of a quantum state transfer. In particular, we will review a few recent papers on the matter and discuss the role of orthogonal polynomials and Jacobi matrices in the theory of spin transfer.

Contact Information: Murat Akman (murat.akman@uconn.edu) and Vyron Vellis (vyron.vellis@uconn.edu)
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