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11/4
Actuarial Science Seminar
Bilateral Risk Sharing With Exposure Constraints: Heterogeneous Beliefs And Probability Weighting
Mario Ghossoub (University Of Waterloo)
Wednesday, November 4th, 2020
Actuarial Science Seminar
Bilateral Risk Sharing With Exposure Constraints: Heterogeneous Beliefs And Probability Weighting
Mario Ghossoub (University Of Waterloo)
10:00 AM  11:00 AM
Other
onlineWebex Meeting link:
https://uconncmr.webex.com/uconncmr/j.php?MTID=m2597628acb83c077e45f759cf86c6489
Meeting number: 120 743 4364
Password: UConn
Host key:935694
Abstract: We study bilateral risk sharing under no aggregate uncertainty, where one agent has ExpectedUtility (EU) preferences and the other agent has RankDependent Utility (RDU) preferences with a general probability distortion function. We impose exogenous constraints on the risk exposure for both agents, and we allow for any type or level of belief heterogeneity. We show that Paretooptimal risksharing contracts can be obtained via a constrained utility maximization of one agent, under a participation constraint of the other agent. This allows us to give an explicit characterization of optimal risksharing contracts. In particular, we show that an optimal contract is a monotone function of the likelihood ratio, where the latter is obtained from Lebesgue’s Decomposition Theorem. Moreover, unlike in the case where both agents have EU preferences, common beliefs might still lead to a risksharing situation in which betting is Paretoimproving; and betting might not always be Paretoimproving when beliefs are divergent. We also show that if agents disagree about likelihoods but not about zeroprobability events, then Paretooptimal allocations are deterministic (nobetting allocations), as long as the counterparty’s level of probabilistic riskaversion exceeds the level of belief heterogeneity between the agents. Finally, we examine the case in which both agents are RDUmaximizers, and we characterize Paretooptima. (This is joint work with Tim J. Boonen).
Speaker's bio: Dr. Ghossoub is currently an Assistant Professor at the Department of Statistics and Actuarial Science, University of Waterloo (Canada).
Contact Information: Bin Zou, bin.zou@uconn.edu More

11/4Algebra Seminar
Anne Dranowski (IAS)
The Glass Bead Game And Lusztig's Dual Semicanonical BasisAlgebra Seminar
Wednesday, November 4th, 2020
Anne Dranowski (IAS)
The Glass Bead Game And Lusztig's Dual Semicanonical Basis
11:15 AM  12:05 PM
Storrs Campus
WebExWe describe the crystal structure on generic minuscule modules for the preprojective algebra of a simplylaced quiver in terms of the socalled glass bead game. This description is a consequence of joint work in progress with B. Elek, T. Libman, J. Kamnitzer, C. MortonFerguson. Time permitting, we discuss a geometric interpretation in type A.
Please contact the organizer for the WebEx link.
Contact Information: mihai.fulger@uconn.edu More

11/4Math Club
Classical Cryptosystems And Codebreaking
Jenny Wilson (Univ. Michigan)Math Club
Wednesday, November 4th, 2020
Classical Cryptosystems And Codebreaking
Jenny Wilson (Univ. Michigan)
05:45 PM  06:35 PM
Storrs Campus
OnlineThis talk will give a brief history of some classical encryption techniques, and how to defeat them.
Note: Join the meeting at https://uconnvtc.webex.com/meet/mathclub
Contact Information: Keith Conrad More

11/5Probability And Data Science Colloquium: James Norris (University Of Cambridge)
Probability And Data Science Colloquium: James Norris (University Of Cambridge)
Thursday, November 5th, 2020
02:00 PM  03:00 PM
Storrs Campus
OnlineSpeaker: James Norris
(University of Cambridge)
Title: The master field on the sphere
Abstract: The YangMills measure is a natural probabiity distribution on Gconnections over
a given surface S, where G is a given Lie group. When S is the 2sphere, this is
strongly related to the Brownian bridge in the group G. In this talk I will describe
the highdimensional (large N) limit of the YangMills measure over the 2sphere when the group
is that of NxN unitary matrices. This makes rigorous some earlier work in the physics literature
where the limit object is called the master field on the sphere.
The talk will assume no knowledge of connections or the YangMills measure.
This is joint work with Antoine Dahlqvist.
Contact Information: Zhongyang Li More

11/5Mathematics Colloquium
Evolution Equations On NonCompact Symmetric Spaces
JeanPhilippe Anker (University Of Orleans)Mathematics Colloquium
Thursday, November 5th, 2020
Evolution Equations On NonCompact Symmetric Spaces
JeanPhilippe Anker (University Of Orleans)
03:30 PM  04:30 PM
Storrs Campus
OnlineThe heat equation and the wave equation are
two classical and important evolution equations,
which have been widely studied in various settings.
In this talk, I will consider them on noncompact symmetric spaces,
which include in particular hyperbolic spaces.
I will try to give the state of the art in this subject
and I will emphasize some features showing that
the large scale behavior in negative curvature may be different
and actually better compared to the Euclidean case.
Contact Information: KyuHwan Lee More

11/6SIGMA Seminar
Continued Fractions
Keith ConradSIGMA Seminar
Friday, November 6th, 2020
Continued Fractions
Keith Conrad
03:00 PM  04:00 PM
Storrs Campus
OnlineThe standard way to write down real numbers explicitly is with decimal expansions. Continued fractions are a different way of describing real numbers. They are far better than decimals at revealing the "best" rational approximations to a number. Areas of math where continued fractions appear include coding theory, cluster algebras, dynamical systems, knot theory, hyperbolic geometry, and number theory.
In this talk we will see what continued fractions are as well as some of their properties and applications.
https://uconncmr.webex.com/uconncmr/j.php?MTID=m86369e51cc4cbf4727aa0462e6ae7280
Contact Information: Bailey Johnson More

11/9PDE And Differential Geometry Seminar Xin Dong (UConn)
PDE And Differential Geometry Seminar Xin Dong (UConn)
Monday, November 9th, 2020
02:30 PM  03:30 PM
Other
onlineSpeaker: Xin Dong (UConn)
Title: Rigidity theorems by the Bergman kernel and logarithmic capacity
Abstract:
In light of the Suita conjecture, we explore various rigidity phenomena concerning the Bergman kernel, logarithmic capacity, Green's function, and Euclidean distance and volume. This is a joint work with Yuan Zhang.
Meeting link:
https://uconncmr.webex.com/uconncmr/j.php?MTID=ma3888f4704b6dba433bdc49ce6879030
Meeting number: 120 375 7805
Password: 1109
Contact Information: dong@uconn.edu More

11/11Algebra Seminar
Benjamin Briggs (University Of Utah)
The Hochschild Cohomology Of Twisted Tensor ProductsAlgebra Seminar
Wednesday, November 11th, 2020
Benjamin Briggs (University Of Utah)
The Hochschild Cohomology Of Twisted Tensor Products
11:15 AM  12:05 PM
Storrs Campus
WebExThe bicharacter twisted tensor product of graded algebras is an interesting source of algebras, often producing especially computable examples, such as the quantum complete intersections, and certain skew group rings.
I will spend some time introducing Hochschild Cohomology, then I will explain how to compute the Hochschild cohomology of a twisted tensor product in terms of the Hochschild cohomology of the two component algebras.
This description generalises a result of Bergh and Oppermann. I'll try to give lots of examples, showing how this can be used to give simple calculations of Hochschild cohomology in cases where the computations were previous quite complicated. In particular this gives a short, intuitive calculation for BuchweitzGreenMadsenSolberg's example of an algebra with infinite global dimension but bounded Hochschild cohomology.
Please contact the organizer for the WebEx link.
Contact Information: mihai.fulger@uconn.edu More

11/11Math Club
Undergraduate Research Opportunities In Math
Panel DiscussionMath Club
Wednesday, November 11th, 2020
Undergraduate Research Opportunities In Math
Panel Discussion
05:45 PM  06:35 PM
Storrs Campus
OnlineThe math club will host a panel discussion on undergraduate mathematics research opportunities. This panelists will include both faculty and students. They will discuss what the research process is like and how to become involved in mathematics research as an undergraduate.
Note: Join the meeting at https://uconnvtc.webex.com/meet/mathclub
Contact Information: Keith Conrad More

11/12Mathematics Colloquium
Symmetric Group Characters As Symmetric Functions
Rosa Orellana (Dartmouth)Mathematics Colloquium
Thursday, November 12th, 2020
Symmetric Group Characters As Symmetric Functions
Rosa Orellana (Dartmouth)
03:30 PM  04:30 PM
Storrs Campus
OnlineThe characters of the general linear group are symmetric functions. In fact, the irreducible characters are found by evaluating Schur polynomials at eigenvalues of matrices. In this talk I will discuss bases of ring of symmetric functions that evaluate to characters of the symmetric group when evaluated at roots of unity. I will discuss how these basis relate to two major outstanding open problems in algebraic combinatorics: the restriction problem and the Kronecker problem. The main combinatorial objects in this talk are tableaux filled with multisets.
This is joint work with Mike Zabrocki.
Contact Information: KyuHwan Lee More

11/13Math Physics Learning Seminar
Gerald Dunne, University Of Connecticut
Path Integrals: At The Interface Of Physics And MathematicsMath Physics Learning Seminar
Friday, November 13th, 2020
Gerald Dunne, University Of Connecticut
Path Integrals: At The Interface Of Physics And Mathematics
10:00 AM  11:00 AM
Storrs Campus
online (please contact Masha)Functional integrals form the basis of quantum field theory, and lead to physical predictions that have been confirmed to remarkable precision. Attempts to make them better defined mathematically have also led to novel insights, conjectures and results in mathematics. I will discuss some examples, and also some open problems, coming from the physics side.
Contact Information: maria.gordina@uconn.edu More

11/13Logic Colloquium (Online): Sandra Villata – Intermediate Grammaticality
Logic Colloquium (Online): Sandra Villata – Intermediate Grammaticality
Friday, November 13th, 2020
11:00 AM  12:30 PM
Storrs Campus
onlineJoin us in the online Logic Colloquium for a talk by Sandra Villata (UConn Departments of Linguistics and Psychological Science) on
"Intermediate grammaticality"
Formal theories of grammar and traditional sentence processing models start from the assumption that the grammar is a system of rules. In such a system, only binary outcomes are generated: a sentence is wellformed if it follows the rules of the grammar and illformed otherwise. This dichotomous grammatical system faces a critical challenge, namely accounting for the intermediate/gradient modulations observable in experimental measures (e.g., sentences receive gradient acceptability judgments, speakers report a gradient ability to comprehend sentences that deviate from idealized grammatical forms, and various online sentence processing measures yield gradient effects). This challenge is traditionally met by accounting for gradient effects in terms of extragrammatical factors (e.g., working memory limitations, reanalysis, semantics), which intervene after the syntactic module generates its output. As a test case, in this talk I will focus on a specific kind of violation that is at the core of the linguistic investigation: islands, a family of encapsulated syntactic domains that seem to prohibit the establishment of syntactic dependencies inside of them (Ross 1967). Islands are interesting because, although most linguistic theories treat them as fully ungrammatical and uninterpretable, I will present experimental evidence revealing gradient patterns of acceptability and evidence that some island violations are interpretable. To account for these gradient data, in this talk I explore the consequences of assuming a more flexible rulebased system, where sentential elements can be coerced, under specific circumstances, to play a role that does not fully fit them. In this system, unlike traditional ones, structure formation is forced even under suboptimal circumstances, which generates semigrammatical structures in a continuous grammar.
Please contact Marcus Rossberg for login information.
https://logic.uconn.edu/calendar/
Contact Information: marcus.rossberg@uconn.edu More

11/13SIGMA Seminar
Continued Fractions, II
Keith ConradSIGMA Seminar
Friday, November 13th, 2020
Continued Fractions, II
Keith Conrad
03:00 PM  04:00 PM
Storrs Campus
OnlineThis talk, which is a continuation of last week's, will show connections between continued fractions and other topics such as hyperbolic geometry and orthogonal polynomials.
https://uconncmr.webex.com/uconncmr/j.php?MTID=m86369e51cc4cbf4727aa0462e6ae7280
Contact Information: Bailey Johnson More

11/16
Actuarial Science Seminar
A Comprehensive Model For Cyber Risk Based On Marked Point Processes And Its Application To Insurance
Gabriela Zeller (Technical University Of Munich)
Monday, November 16th, 2020
Actuarial Science Seminar
A Comprehensive Model For Cyber Risk Based On Marked Point Processes And Its Application To Insurance
Gabriela Zeller (Technical University Of Munich)
11:00 AM  12:00 PM
Other
onlineMeeting link:
https://uconncmr.webex.com/uconncmr/j.php?MTID=mdca7b0967a30f3521f7df43b6c5b9891
Meeting number: 120 126 2604
Password: Uconn
Abstract: Recently, an increasing number of researchers and practitioners from different disciplines have analyzed cyber risk and different approaches to understanding and quantifying this new type of risk have been proposed. Still, an agreedupon framework and a unified quantitative understanding of cyber risk and its underlying drivers is still at its infancy. Due to the particular properties of cyber risk such as lack of historical data, interdependence of risk and IT security and difficult impact determination (e.g. intangible losses due to data loss, business interruption or reputational damages), classical actuarial approaches face numerous challenges.
The present work scrutinizes technical, legal, financial, and actuarial aspects of cyber risk as a basis to propose a new approach for modelling cyber risk using marked point processes.
The resulting model is able to include the influence of key covariables, required to model frequency and severity of cyber claims, and the dynamic nature of cyber risk, while also capturing accumulation risk in a realistic way. It takes into account different types of cyber attacks (classified according to their compromise of defined information security goals) and their causes, namely malicious untargeted and targeted attacks as well as human and technical failure.
The model is studied with respect to its statistical properties and applied to the pricing of cyber insurance and risk measurement. The results are illustrated in a simulation study, with particular focus on the importance of considering accumulation risk and prudent policy design in the cyber context.
The presentation concludes with an outlook of opportunities for future research in the cyber risk and insurance domain, such as the design of cyber insurance products transcending mere risk transfer.
Speaker's bio: Gabriela is a Ph.D. student at the ERGO Center of Excellence in Insurance, the group of Mathematical Finance, Technical University of Munich. Her supervisor is Prof. Matthias Scherer.
Contact Information: Bin Zou, bin.zou@uconn.edu More

11/16PDE And Differential Geometry Seminar
Matthew Novack (Courant Institute)
Recent Results For The 3D QuasiGeostrophic SystemPDE And Differential Geometry Seminar
Monday, November 16th, 2020
Matthew Novack (Courant Institute)
Recent Results For The 3D QuasiGeostrophic System
11:00 AM  12:00 PM
Storrs Campus
onlineThe 3D quasigeostrophic equation is a model used in climatology to model the evolution of the atmosphere for small Rossby numbers. The surface quasigeostrophic equation (SQG) is a special case where the atmosphere above the earth is at rest. The evolution then depends only on the boundary condition, and can be reduced to a 2D model. In this talk, we consider the full 3D QG and describe recent progress on the questions of both nonuniqueness of weak solutions and existence of strong and weak solutions on cylindrical domains, including a resolution of the appropriately formulated Onsager conjecture for 3D QG. In each setting, the boundary conditions will play a crucial role.
Contact Information: zhongshan.an@uconn.edu More

11/18Algebra Seminar
Tom Roby (UConn)
Dynamical algebraic combinatorics & homomesy in higher realmsAlgebra Seminar
Wednesday, November 18th, 2020
Tom Roby (UConn)
Dynamical algebraic combinatorics & homomesy in higher realms
11:15 AM  12:05 PM
Storrs Campus
WebExDynamical algebraic combinatorics explores (often cyclic) group actions on sets of combinatorial objects. In many cases these actions can be extended to the piecewiselinear realm of polytopes, then further lifted to the
birational realm via detropicalization. Unexpectedly, many nice properties of the combinatorial actions such as
loworder periodicity or homomesy (statistics with constant average over each orbit) can also be lifted to these settings. Some even persist to the realm of "birational functions" in noncommutating variables.
Please contact the organizer for the WebEx link.
Contact Information: mihai.fulger@uconn.edu More

11/18Math Club
Machine Learning For Mathematics
KyuHwan Lee (UConn)Math Club
Wednesday, November 18th, 2020
Machine Learning For Mathematics
KyuHwan Lee (UConn)
05:45 PM  06:35 PM
Storrs Campus
OnlineIn this talk, we will consider whether a machine can be trained to recognize patterns in mathematics. As examples, some basic concepts in number theory will be tested through machinelearning tools. At the beginning of the talk, I will briefly mention what kind of mathematics is needed for machinelearning and this talk may serve as a preview of Math 3094, which will be offered in Spring 2021.
Note: Join the meeting at https://uconnvtc.webex.com/meet/mathclub
Contact Information: Keith Conrad More

11/19Probabillity And Data Science Colloquium
Probabillity And Data Science Colloquium
Thursday, November 19th, 2020
02:00 PM  03:00 PM
Storrs Campus
OnlineWeekly colloquium with invited external speakers
Contact Information: Zhongyang Li More

11/19Mathematics Department Special Talk
Creating Math Classrooms And Communities Where PEER Students Thrive
Dr. Carrie Diaz Eaton & Dr. Adriana Salerno Domínguez (Bates College)Mathematics Department Special Talk
Thursday, November 19th, 2020
Creating Math Classrooms And Communities Where PEER Students Thrive
Dr. Carrie Diaz Eaton & Dr. Adriana Salerno Domínguez (Bates College)
03:30 PM  04:30 PM
Storrs Campus
Webex: https://uconncmr.webex.com/meet/err15101Creating math classrooms and communities where PEER students thrive
Thursday, November 19, 3:304:30 pm
Presenters: Dr. Carrie Diaz Eaton, Digital and Computational Studies, Bates College
Chair, MAA Committee for Minority Participation in Mathematics
&
Dr. Adriana Salerno Domínguez, Chair, Mathematics, Bates College
Abstract: PEER, a term coined by HHMI Senior Director of Education, David Asai, refers to “Persons Excluded because of Ethnicity or Race.” The profession of mathematics, and STEM more broadly, has historically excluded certain persons from access and/or success, and most of those barriers remain today. In this workshop, we will establish some common language and definitions around equity and inclusion, examine the axomatic neutrality and/or bias of mathematics, and then explore specific examples for classroom and department practice. The goal of this conversation is to provide a launching platform for future departmental conversations, to suggest ideas of easytoimplement actions that better support PEER students, and to stimulate ideas for future professional development and reflection.
https://math.uconn.edu/wpcontent/uploads/sites/2511/2019/09/EquityNov2020abstract.pdf
NOTE: If you are not in the Math Department and would like to attend, please send a quick email to erin.rizzie@uconn.edu so that we can let you in from the waiting room.
Contact Information: Erin Rizzie, erin.rizzie@uconn.edu More

11/20Math Physics Learning Seminar
Alessandro Pizzo, University Of Rome Tor Vergata
Local LieSchwinger Conjugations And Gapped Quantum ChainsMath Physics Learning Seminar
Friday, November 20th, 2020
Alessandro Pizzo, University Of Rome Tor Vergata
Local LieSchwinger Conjugations And Gapped Quantum Chains
10:00 AM  11:00 AM
Storrs Campus
online (please contact Masha)We consider quantum chains whose Hamiltonians are perturbations, by interactions of short range, of a Hamiltonian that does not couple the degrees of freedom located at different sites of the chain and has a strictly positive energy gap above its groundstate energy. For interactions that are formbounded w.r.t. the onsite Hamiltonian
terms, we prove that the spectral gap of the perturbed Hamiltonian above its groundstate energy is bounded from below by a positive constant uniformly in the length of the chain, for small values of a coupling constant. Under the same hypothesis, we prove that the ground state energy is analytic for values of the coupling constant in a fixed interval, uniformly in the length of the chain. In our proof we use a novel method based on local LieSchwinger conjugations of the Hamiltonians associated with connected subsets of the chain, that can be also applied to complex Hamiltonians obtained by considering complex values of the coupling constant. We can treat fermions and bosons on the same footing, and our technique does not face a large field problem, even though bosons are involved, in contrast to most approaches.
Contact Information: maria.gordina@uconn.edu More

11/20Analysis And Probability Seminar
Kleinian Schottky Groups, PattersonSullivan Measures, And Fourier Decay
Wenyu Pan (UChicago)Analysis And Probability Seminar
Friday, November 20th, 2020
Kleinian Schottky Groups, PattersonSullivan Measures, And Fourier Decay
Wenyu Pan (UChicago)
01:30 PM  02:30 PM
Storrs Campus
Online Zoom (link below)Abstract: We show that the Fourier transform of the PattersonSullivan measure of a Kleinian Schottky subgroup of $\operatorname{PSL}_2(\mathbb{C})$ enjoys polynomial decay. This generalizes a result of BourgainDyatalov for convexcocompact Fuchsian groups and uses the decay of exponential sums based on BourgainGamburd sumproduct estimate on $\mathbb{C}$. These bounds on exponential sums require a delicate nonconcentration hypothesis, which is proved using some representation theory and regularity estimates for stationary measures of certain random walks on linear groups. This is joint work with Jialun Li and Frédéric Naud.
Join Zoom Meeting
https://zoom.us/j/93189118174?pwd=SW1USXVqOHpyaDFlZ3VRdHBPMmJNUT09
Meeting ID: 931 8911 8174
Passcode: AP
Contact Information: Yunfeng Zhang (yunfeng.zhang@uconn.edu) More

11/20SIGMA Seminar
Degree 4 Curves Have 28 Bitangents
Mihai FulgerSIGMA Seminar
Friday, November 20th, 2020
Degree 4 Curves Have 28 Bitangents
Mihai Fulger
03:00 PM  04:00 PM
Storrs Campus
OnlineAbstract: We prove a classical result in geometry. Consider a curve Q of equation f(x,y)=0, where f is a polynomial of degree 4 in x and y. For example x^4+x^41=0. We prove that at least when working over complex numbers, there are exactly 28 lines that are tangent to Q simultaneously at 2 distinct points.
https://uconncmr.webex.com/uconncmr/j.php?MTID=m86369e51cc4cbf4727aa0462e6ae7280
Contact Information: Bailey Johnson More

11/25Algebra Seminar
TBAAlgebra Seminar
Wednesday, November 25th, 2020
TBA
11:15 AM  12:05 PM
Storrs Campus
WebExTBA
Contact Information: mihai.fulger@uconn.edu More

11/26Probabillity And Data Science Colloquium
Probabillity And Data Science Colloquium
Thursday, November 26th, 2020
02:00 PM  03:00 PM
Storrs Campus
OnlineWeekly colloquium with invited external speakers
Contact Information: Zhongyang Li More

11/30PDE And Differential Geometry Seminar, Gunhee Cho (UConn)
PDE And Differential Geometry Seminar, Gunhee Cho (UConn)
Monday, November 30th, 2020
02:30 PM  03:30 PM
Other
onlineSpeaker: Gunhee Cho (UConn)
Title: Equivalence of invariant metrics in hyperbolic complex geometry
Abstract: There is a longstanding open conjecture on complex geometry which state that given a complete ndimensional noncompact simplyconnected Kahler manifold M with sectional curvature negatively pinched, such a manifold is biholomorphic to a bounded domain in C^n, and there is a nonconstant bounded holomorphic function on M. The recent progress of WuYau theorem shed the light on these conjectures to investigate the equivalence of the Bergman metric, the KahlerEinstein metric, Kobayashimetric on the classes of pseudoconvex domains. We will see the very recent progress on relevant those questions and connections to subRiemannian geometry and algebraic geometry. This presentation is to introduce the audience to the research work of the presenter during the ph.d. program.
Contact Information: dong@uconn.edu More