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4/1Mathematics Colloquium
Stochastic Integration With Respect To Arbitrary Collections Of Continuous Semimartingales
Constantinos Kardaras (London School Of Economics)Mathematics Colloquium
Thursday, April 1st, 2021
Stochastic Integration With Respect To Arbitrary Collections Of Continuous Semimartingales
Constantinos Kardaras (London School Of Economics)
03:30 PM  04:30 PM
Storrs Campus
OnlineStochastic integrals are defined with respect to a collection $P$ of continuous semimartingales, imposing no assumptions on the index set and the subspace where $P$ takes values. The integrals are constructed though finitedimensional approximation, identifying the appropriate local geometry that allows extension to infinite dimensions. For local martingale integrators, the resulting space of stochastic integrals has an operational characterisation via a corresponding set of integrands, constructed with only reference the covariation structure of $P$. This bijection between the previous spaces of integral and integrands extends to families of continuous semimartingale integrators for which the drift process of $P$ belongs in an appropriate stochastic reproducing kernel Hilbert space. In the context of infiniteasset models in Mathematical Finance, the latter structural condition is equivalent to a certain natural form of market viability. The enriched class of wealth processes via extended stochastic integrals leads to exact analogues of optional decomposition and hedging duality as the finiteasset case. A corresponding characterisation of market completeness in this setting is provided.
Contact Information: KyuHwan Lee More

4/2Math Physics Learning Seminar
Erik Wendt
University Of Connecticut
An Introduction To Ergodic Theory And Thermodynamic Formalism IMath Physics Learning Seminar
Friday, April 2nd, 2021
Erik Wendt
University Of Connecticut
An Introduction To Ergodic Theory And Thermodynamic Formalism I
10:15 AM  11:15 AM
Storrs Campus
online (please contact Masha)In these talks we will look into some of the main theorems in ergodic theory and thermodynamic formalism, an offshoot of ergodic theory of contemporary interest. We cover the physical origins of ergodic theory and its role as a bridge between analysis and probability, and introduce some of its most surprising (and powerful) results. After this we dive into thermodynamic formalism, a branch of ergodic theory which has had many recent applications to various areas of mathematics including number theory, functional analysis, and geometry. We end with a discussion of the variational principle for Gurevich pressure, which gives a surprising relation between the entropy, pressure, and equilibrium measures for a topological Markov shift.
Contact Information: maria.gordina@uconn.edu More

4/2Logic Colloquium
Logic Done as if Inference in Language Mattered
Larry Moss (Indiana University)Logic Colloquium
Friday, April 2nd, 2021
Logic Done as if Inference in Language Mattered
Larry Moss (Indiana University)
02:00 PM  03:30 PM
Storrs Campus
ZoomOur topic is logical inference in natural language, as it is done by people and computers.
The first main topic will be monotonicity inference, arguably the best of the simple ideas
in the area. Monotonicity can be incorporated in running systems whereby one can take
parsed reallife sentences and see simple inferences in action. I will present some of the
theory, related to higherorder monotonicity and the syntaxsemantics interface offered by
categorial grammar.
In a different direction, these days monotonicity inference can be done by machines as well
as humans. The talk also discusses this development along with some ongoing work on the
borderline of natural logic and machine learning.
The second direction in the talk will be an overview of the large number of logical systems for
various linguistic phenomena. This work begins as an updating of traditional syllogistic logic,
but with much greater expressive power.
Overall, the goal of the talk is to persuade you that the research program of "natural logic"
leads to a lively research area with connections to many areas both inside and outside of more
mainstream areas of logic.
Contact Information: Damir Dzhafarov, damir@math.uconn.edu More

4/2SIGMA Seminar
Gentle Introduction To Algebraic Geometry
Gunhee ChoSIGMA Seminar
Friday, April 2nd, 2021
Gentle Introduction To Algebraic Geometry
Gunhee Cho
03:30 PM  04:30 PM
Storrs Campus
OnlineAbstract: In this presentation, I would like to introduce a gentle introduction to algebraic geometry to the audience who learned the definition of algebraic objects about the ring, module, localization, projective and injective modules. Specifically, we will look at the Bezout theorem, which generalizes the intersection number between the quadric and the line, which we are familiar with, from the system of algebraic equations to geometric interpretation. From here, we would briefly examine how degree, Eulercharacteristic, and cohomology naturally emerge and how to deal with those mathematically. The purpose of the presentation is to talk about the big picture in a general way, and I intend to proceed without assuming a specific knowledge of algebraic geometry.
https://uconncmr.webex.com/uconncmr/j.php?MTID=m86369e51cc4cbf4727aa0462e6ae7280
Contact Information: Bailey Johnson More

4/5
Actuarial Science Seminar
Risk Analysis Of Driving Data With Nearmiss Ratemaking
Montserrat Guillen (University Of Barcelona)
Monday, April 5th, 2021
Actuarial Science Seminar
Risk Analysis Of Driving Data With Nearmiss Ratemaking
Montserrat Guillen (University Of Barcelona)
11:00 AM  12:00 PM
Other
OnlinePlease join via Webex Meeting link:
https://uconncmr.webex.com/uconncmr/j.php?MTID=mc07bba5e466c1bfbe1e6ec5faa1846d4
Meeting number: 120 785 5457 Password: UConn
Abstract: There will be a presentation of the fundamental characteristics of telematic data collected in the field of car insurance. In the talk we will address (1) how pay as you drive systems are built and (2) new approaches that take into account nearmisses, which are events that may be considered dangerous but do not lead to insurance claims. Several open questions will de discussed: data aggregation, nearmiss definition and new ratemaking schemes.
Speaker's bio: Dr. Montserrat Guillen is Chair Professor in the Department of Econometrics at the University of Barcelona. She is currently Honorary Visiting Professor in the Faculty of Actuarial Science and Insurance at City University London. Her research focuses on actuarial statistics and quantitative risk management. She has published many scientific articles, contributions to book chapters and books on insurance and actuarial science. Please visit her website for more information: http://www.ub.edu/riskcenter/guillen/
Contact Information: Bin Zou, bin.zou@uconn.edu More

4/7Algebra Seminar
Minimal Exponents And A Conjecture Of Teissier
Bradley Dirks (University Of Michigan)Algebra Seminar
Wednesday, April 7th, 2021
Minimal Exponents And A Conjecture Of Teissier
Bradley Dirks (University Of Michigan)
11:15 AM  12:05 PM
Storrs Campus
Online on WebExThe minimal exponent, defined by Morihiko Saito, is an invariant of hypersurface singularities which is a refinement of the log canonical threshold. One expects singularities to worsen when intersecting with a smooth hypersurface, and Teissier conjectured in the 80's an inequality describing how much the minimal exponent should decrease in this process. I will begin by defining the invariants of singularities which arise in the statement of the conjecture, and then describe joint work with Mircea Mustaţă (building on work he has done with Eva Elduque) in which we prove it.
Please contact the organizer for the WebEx link.
Contact Information: mihai.fulger@uconn.edu More

4/7Mathematical Finance And Applied Probability Seminar
When To Sell An Asset?  A Distribution Builder Approach
Stephan Sturm (Worcester Polytechnic Institute)Mathematical Finance And Applied Probability Seminar
Wednesday, April 7th, 2021
When To Sell An Asset?  A Distribution Builder Approach
Stephan Sturm (Worcester Polytechnic Institute)
05:00 PM  06:00 PM
Storrs Campus
onlineAbstract: We revisit the question of the optimal time of an asset sale from the point of view of Sharpe's "Distribution Builder" approach: Instead of assuming the investor's risk preferences in form of a utility function, the investor provides themself a distribution that should be attained when selling the asset at a stopping time (specified a priori). This obviously begs the questions which distributions are attainable for an investor. We connect this problem to the Skorokhod embedding problem for onedimensional diffusions and provide explicit representation for optimal stopping times as well as their expected values. In the case that the target distribution is specified from a parametrized family (e.g., lognormal distributions), we show that optimality involves a meanvariance tradeoff similar to the efficient frontier in Markowitz's approach to portfolio optimization. This is joint work with Peter Carr.
Contact Information: Oleksii Mostovyi More

4/7Math Club
Undersanding Blockchains
Zach Izzo (Stanford)Math Club
Wednesday, April 7th, 2021
Undersanding Blockchains
Zach Izzo (Stanford)
05:45 PM  06:35 PM
Storrs Campus
OnlineSince the publication of the original white paper in 2008, Bitcoin and other blockchainbased currencies have soared in popularity and value  as of this writing, one Bitcoin is worth 56,000 USD. But what exactly is a Bitcoin, and how can users make trustworthy transactions without a central banking authority? We will answer these questions and explore the cryptographic methods and data structures underlying blockchains. I'll also discuss some active areas of related research.
Note: Join the meeting at https://uconnvtc.webex.com/meet/mathclub
Contact Information: Keith Conrad More

4/8Mathematics Distinguished Lecture Series
New Perspectives On Sobolev Norms
Haim Brezis (Rutgers And Technion)Mathematics Distinguished Lecture Series
Thursday, April 8th, 2021
New Perspectives On Sobolev Norms
Haim Brezis (Rutgers And Technion)
02:00 PM  03:30 PM
Storrs Campus
Online  please email contactThe classical Sobolev spaces involve L^p norms of the gradient of a function u. We present an original point of view where derivatives are replaced by appropriate finite differences and the Lebesgue space L^p is replaced by the slightly larger Marcinkiewicz space M^p (aka weak L^p space)  a popular tool in Harmonic Analysis. Surprisingly, these spaces coincide with the standard Sobolev spaces, a fact which sheds a new light onto these classical objects and should have numerous applications. It allows e.g., to rectify some wellknown “irregularities” occurring in the theory of fractional Sobolev spaces. In particular, we may derive alternative estimates in some exceptional cases (involving W^{1,1}) where the anticipated fractional Sobolev and GagliardoNirenberg inequalities fail.
Part of the central argument relies on an innocuous looking new calculus inequality which might be useful in other situations. The current proof of this inequality is more complicated than expected and it would be desirable to find a simpler one.
The lecture is based on a recent joint work with Jean Van Schaftingen and PoLam Yung (PNAS Feb 2021).
Contact Information: KyuHwan Lee, kyuhwan.lee@uconn.edu More

4/8Probability And Data Science Colloquium
Probability And Data Science Colloquium
Thursday, April 8th, 2021
02:00 PM  03:00 PM
Storrs Campus
OnlineSpeaker: Yihong Wu (Yale University)
Title: Recent results in planted assignment problems
Abstract: Motivated by applications such as particle tracking, network deanonymization, and computer vision, a recent thread of research is devoted to statistical models of assignment problems, in which the data are random weight graphs correlated with the latent permutation. In contrast to problems such as planted clique or stochastic block model, the major difference here is the lack of lowrank structures, which brings forth new challenges in both statistical analysis and algorithm design.
In the first half of the talk, we discuss the linear assignment problem, where the goal is to reconstruct a perfect matching planted in a randomly weighted bipartite graph, whose planted and unplanted edge weights are independently drawn from two different distributions. We determine the sharp threshold at which the optimal reconstruction error (fraction of misclassified edges) exhibits a phase transition from imperfect to perfect. Furthermore, this phase transition is shown to be of infiniteorder in the special case of exponential weight distributions, confirming the conjecture in [Semerjian et al. 2020]. The negative result is shown by proving that, below the threshold, the posterior distribution is concentrated away from the hidden matching by constructing exponentially many long augmenting cycles.
In the second half of the talk, we discuss the quadratic assignment problem (random graph matching), where the goal is to recover the hidden vertex correspondence between two edgecorrelated ErdosRenyi graphs. We prove that there exists a sharp threshold, above which one can correctly match all but a vanishing fraction of the vertices and below which matching any positive fraction is impossible, a phenomenon known as the "allornothing" phase transition. The proof builds upon a tight characterization of the mutual information via the truncated secondmoment method and an appropriate "area theorem".
This talk is based on joint work with Jian Ding, Jiaming Xu, Dana Yang and Sophie Yu. Preprints available at: https://arxiv.org/abs/2103.09383, https://arxiv.org/abs/2008.10097, https://arxiv.org/abs/2102.00082.
Contact Information: Zhongyang Li More

4/9Logic Colloquium
Interacting Alternatives: Referential Indeterminacy And Questions
Floris Roelofsen (ILLC Amsterdam)Logic Colloquium
Friday, April 9th, 2021
Interacting Alternatives: Referential Indeterminacy And Questions
Floris Roelofsen (ILLC Amsterdam)
10:00 AM  11:30 AM
Storrs Campus
ZoomOne of the major challenges involved in developing semantic theories is that many constructions in natural language given rise to alternatives. Different sources of alternatives have been identifiede.g., questions, indeterminacy, focus, scalarityand have been investigated in quite some depth. Less attention, however, has been given so far to the question how these different kinds of alternatives interact. I will focus in this talk one one such interaction, namely between referential indeterminacy and questions. Several formal semantic frameworks have been developed to capture referential indeterminacy (dynamic semantics, alternative semantics) and the content of questions (e.g., alternative semantics, structured meanings, partition semantics, inquisitive semantics). I will report on ongoing work with Jakub Dotlacil, which aims to merge dynamic and inquisitive semantics in a principled way. I will present a basic system and suggest some potential applications and extensions.
Contact Information: Damir Dzhafarov, damir@math.uconn.edu More

4/9Math Physics Learning Seminar
Erik Wendt
University Of Connecticut
An Introduction To Ergodic Theory IIMath Physics Learning Seminar
Friday, April 9th, 2021
Erik Wendt
University Of Connecticut
An Introduction To Ergodic Theory II
10:15 AM  11:15 AM
Storrs Campus
online (please contact Masha)In this talk we will cover some of the most important theorems in ergodic theory, the Mean Ergodic Theorem and the Pointwise Ergodic Theorem, as well as their applications. Time permitting, we will go over the Multiplicative Ergodic Theorem and a sketch of its proof.
Contact Information: maria.gordina@uconn.edu More

4/9SIGMA Seminar
AMS Special Event
Computing Rational Points On Curves
Sachi HashimotoSIGMA Seminar
Friday, April 9th, 2021
AMS Special Event
Computing Rational Points On Curves
Sachi Hashimoto
03:30 PM  04:30 PM
Storrs Campus
OnlineAbstract: Rational solutions to polynomial equations have interested mathematicians since at least the 3rd century AD, when Diophantus published a book of over 100 equations along with solutions. In the 20th century, Faltings proved Mordell's conjecture, about the finiteness of rational points on curves of genus at least 2. However, Faltings's proof falls short of providing an explicit method for constructing the rational points. In this talk, we will survey recent work on padic methods to compute rational points, starting with Chabauty and Coleman, to modern techniques such as quadratic Chabauty. The talk is intended to be aimed at a general mathematical audience.
https://uconncmr.webex.com/uconncmr/j.php?MTID=m86369e51cc4cbf4727aa0462e6ae7280
Contact Information: Bailey Johnson More

4/16Annual Logic Lecture
Algebraic Constructions In Models Of Peano Arithmetic And Its Weak Fragments
Paola D’Aquino (Università della Campania)Annual Logic Lecture
Friday, April 16th, 2021
Algebraic Constructions In Models Of Peano Arithmetic And Its Weak Fragments
Paola D’Aquino (Università della Campania)
10:00 AM  11:30 AM
Storrs Campus
ZoomProfessor D’Aquino is the UConn Logic Groups 2020/2021 Scholar of Consequence, and will deliver the Annual Logic Lecture.
Abstract: I will concentrate on the ideal theory of models of Peano Arithmetic and some of its weak fragments. I will present a model theoretic analysis of the residue rings of these structures.
Contact Information: Damir Dzhafarov, damir@math.uconn.edu More

4/19PDE And DG Seminar
Christine Breiner (From Fordham)PDE And DG Seminar
Monday, April 19th, 2021
Christine Breiner (From Fordham)
02:30 PM  03:30 PM
Storrs Campus
onlineTBA
Contact Information: zhongshan.an@uconn.edu More

4/21Algebra Seminar
Title
Ozlem Ejder (Bogazici University)Algebra Seminar
Wednesday, April 21st, 2021
Title
Ozlem Ejder (Bogazici University)
11:15 AM  12:05 PM
Storrs Campus
Online on WebExUConn's Algebra Seminar WebEx series
Contact Information: mihai.fulger@uconn.edu More

4/21Mathematical Finance And Applied Probability Seminar
TBA
Traian Pirvu (McMaster University)Mathematical Finance And Applied Probability Seminar
Wednesday, April 21st, 2021
TBA
Traian Pirvu (McMaster University)
05:00 PM  06:00 PM
Storrs Campus
onlineTBA
Contact Information: Oleksii Mostovyi More

4/21Math Club
Preparing For Math Grad School
Panel DiscussionMath Club
Wednesday, April 21st, 2021
Preparing For Math Grad School
Panel Discussion
05:45 PM  06:35 PM
Storrs Campus
OnlineIf you are considering graduate school in mathematics or related areas after college, come to this panel discussion where you will hear from members of the UConn math department about their experiences planning for and applying to graduate school. The discussion will then be opened to answer your questions. A packet containing a suggested reading list and some general advice will be provided too.
Note: Join the meeting at https://uconnvtc.webex.com/meet/mathclub
Contact Information: Keith Conrad More

4/22Probability And Data Science Colloquium
Probability And Data Science Colloquium
Thursday, April 22nd, 2021
02:00 PM  03:00 PM
Storrs Campus
OnlineSpeaker: Russ Lyons (Indiana University)
Contact Information: Zhongyang Li More

4/22Mathematics Colloquium
Title TBA
Mogens Steffensen (University of Copenhagen)Mathematics Colloquium
Thursday, April 22nd, 2021
Title TBA
Mogens Steffensen (University of Copenhagen)
03:30 PM  04:30 PM
Storrs Campus
MONT 214TBA
Contact Information: KyuHwan Lee More

4/23Logic Colloquium
Bilateralist TruthMaker Semantics for ST, TS, LP, K3, ...
Ulf Hlobil (Concordia University)Logic Colloquium
Friday, April 23rd, 2021
Bilateralist TruthMaker Semantics for ST, TS, LP, K3, ...
Ulf Hlobil (Concordia University)
10:00 AM  11:30 AM
Storrs Campus
ZoomBilateralist TruthMaker Semantics for ST, TS, LP, K3, ...
Ulf Hlobil, Concordia University, Montreal, Canada
Abstract:
The talk advocates a marriage of inferentialist bilateralism and truthmaker bilateralism. Inferentialist bilateralists like Restall and Ripley say that a collection of sentences, Y, follows from a collection of sentences, X, iff it is incoherent (or outofbounds) to assert all the sentences in X and, at the same time, deny all the sentences in Y. In Fine’s truthmaker theory, we have a partially ordered set of states that exactly verify and falsify sentences, and some of these states are impossible. We can think of makingtrue as the worldly analogue of asserting, of makingfalse as the worldly analogue of denying, and of impossibility as the worldly analogue of incoherence. This suggests that we may say that, in truthmaker theory, a collection of sentences, Y, follows (logically) from a collection of sentences, X, iff (in all models) any fusion of exact verifiers of the members of X and exact falsifiers of the member of Y is impossible. Under routine assumptions about truthmaking, this yields classical logic. Relaxing one such assumption yields the nontransitive logic ST. Relaxing another assumption yields the nonreflexive logic TS. We can use known facts about the relation between ST, LP, and K3, to provide an interpretation of LP as the logic of falsifiers and K3 as the logic of verifiers. The resulting semantics for ST is more flexible than its usual threevalued semantics because it allows us, e.g., to reject monotonicity. We can also recover finegrained logics, like Correia’s logic of factual equivalence.
All welcome!
Please contact us for the Zoom login information.
Contact Information: Damir Dzhafarov, damir@math.uconn.edu More

4/23Algebra Seminar
MultiRees Algebras Of Strongly Stable Ideals
Selvi Kara (University Of South Alabama)Algebra Seminar
Friday, April 23rd, 2021
MultiRees Algebras Of Strongly Stable Ideals
Selvi Kara (University Of South Alabama)
02:00 PM  02:50 PM
Storrs Campus
Online on WebExIn this talk, we will focus on Rees and multiRees algebras of strongly stable ideals. In particular, we will discuss the Koszulness of these algebras through a systematic study of these objects via three parameters: the number of ideals, the number of Borel generators of each ideal, and the degrees of Borel generators. In addition, we utilize combinatorial objects such as fiber graphs to detect Gröbner bases and Koszulness of these algebras.
Please contant the organizer for the WebEx link.
Contact Information: mihai.fulger@uconn.edu More

4/23SIGMA Seminar
Applying the Generalized Riemann Hypothesis
Peter FenteanySIGMA Seminar
Friday, April 23rd, 2021
Applying the Generalized Riemann Hypothesis
Peter Fenteany
03:30 PM  04:30 PM
Storrs Campus
Online
Contact Information: Bailey Johnson More

4/26
Actuarial Science Seminar
ASSET–LIABILITY MANAGEMENT OF LIFE INSURERS IN THE NEGATIVE INTEREST RATE ENVIRONMENT
Yijia Lin (University Of NebraskaLincoln)
Monday, April 26th, 2021
Actuarial Science Seminar
ASSET–LIABILITY MANAGEMENT OF LIFE INSURERS IN THE NEGATIVE INTEREST RATE ENVIRONMENT
Yijia Lin (University Of NebraskaLincoln)
11:00 AM  12:00 PM
Other
onlineWebex Meeting link:
https://uconncmr.webex.com/uconncmr/j.php?MTID=medc5f99d9c3e32000d1cc3384928ade2
Meeting number: 120 538 8998
Password: UConn
Abstract: This study investigates the asset–liability management (ALM) of life insurers in the markets with negative interest rates. Using a sample of Japanese life insurers between 1999 and 2018, we provide initial evidence that the negative interest rate environment produces a much more serious consequence on insurers than the positive interest rate environment. Given that duration and convexity are two common measures widely used by insurers to manage their assets and liabilities, we highlight that the assumption of flat yield curve underlying the traditional measures (e.g. the Macaulay and modified durations and convexities) is problematic when interest rates turn negative. To address this issue, we propose an ALM framework using the duration and convexity based on the Vasicek stochastic model. Our results show that the strategy based on the Vasicek model outperforms the strategy using the modified duration and convexity in the negative interest rate environment.
Speaker's bio: Dr. Lin is V.J. Skutt Distinguished Professor and Professor of Finance in the Department of Finance at the University of NebraskaLincoln. Please visit her website for more information: http://business.unl.edu/people/ylin
Contact Information: Bin Zou, bin.zou@uconn.edu More

4/28Algebra Seminar
Title
Jennifer Li (UMass Amherst)Algebra Seminar
Wednesday, April 28th, 2021
Title
Jennifer Li (UMass Amherst)
11:15 AM  12:05 PM
Storrs Campus
Online on WebExUConn's Algebra Seminar WebEx series
Contact Information: mihai.fulger@uconn.edu More

4/29Probability And Data Science Colloquium
Probability And Data Science Colloquium
Thursday, April 29th, 2021
02:00 PM  03:00 PM
Storrs Campus
OnlineSpeaker: WeiKuo Chen
(University of Minnesota)
Contact Information: Zhongyang Li More

4/29Math Awards Day Ceremony
Math Awards Day Ceremony
Thursday, April 29th, 2021
04:00 PM  05:00 PM
Storrs Campus
ZoomThe Department of Mathematics' Annual Awards Day Ceremony to celebrate our student's achievements.
Contact Information: Rachel D'Antonio (rachel.dantonio@uconn.edu) More

4/30Logic Colloquium
TBA
Bjørn Jespersen (Utrecht)Logic Colloquium
Friday, April 30th, 2021
TBA
Bjørn Jespersen (Utrecht)
10:00 AM  11:30 AM
Storrs Campus
ZoomTBA
Zoom
Contact Information: Damir Dzhafarov, damir@math.uconn.edu More