- All Seminars
- Actuarial Science Seminar
- Algebra Seminar
- Analysis Learning Seminar
- Analysis and Probability Seminar
- Cluster Algebras Seminar
- Connecticut Logic Seminar
- Discrete Mathematics Seminar and Statistical Mechanics Seminar
- Math Club Talks
- Mathematics Colloquium
- Mathematics Education Seminar
- Mathematical Finance Seminar
- Ph.D. Defense
- PDE and Differential Geometry Seminar
- S.I.G.M.A. Seminar
- UConn Logic Colloquium

## All Seminars

- 1/23
*Algebra Seminar*

Organization

Algebra group - 1/24
*Mathematics Colloquium*

Nonlocal problems: from physics to geometry

Yannick Sire (Johns Hopkins University) - 1/25
*Analysis and Probability Seminar*

Singular perturbations of half Ginzburg-Landau and harmonic maps

Yannick Sire (Johns Hopkins University) - 1/28
*Actuarial Science Seminar*

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

Himchan Jeong (UCONN) - 1/28
*PDE and Differential Geometry Seminar*

The Gauss Image Problem

Yiming Zhao, MIT - 1/30
*Algebra Seminar*

Title TBA

Speaker TBA - 1/30
*Math Club*

Inequalities

Guozhen Lu (UConn) - 2/1
*Analysis and Probability Seminar*

Title TBA

Yumeng Ou (CUNY) - 2/1
*Logic Colloquium: Shay Logan* - 2/4
*PDE and Differential Geometry Seminar*

H-type foliations

Fabrice Baudoin (UCONN).

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Algebra Seminar

Organization

Algebra group

Wednesday, January 23rd, 201911:15 AM - 12:05 PM

Storrs Campus

Monteith, 313

A short meeting to decide the Algebra Seminar schedule for the Spring semester. Please show up or e-mail mihai.fulger@uconn.edu if you have a speaker suggestion.

Contact Information: Mihai Fulger, mihai.fulger@uconn.edu
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Mathematics Colloquium

Nonlocal problems: from physics to geometry

Yannick Sire (Johns Hopkins University)

Thursday, January 24th, 20194:00 PM - 5:00 PM

Storrs Campus

MONT 214

I will describe a variety of nonlocal equations describing several phenomena related to turbulence, quantum mechanics, fluid dynamics or statistical physics. By many means, nonlocal terms are more relevant in these areas than local ones. On the other hand, the fractional laplacian is a well-known object in mathematical analysis such as harmonic analysis, geometric analysis or probabilities.

I will give an overview of the current state of the art in a bunch of selected topics, emphasizing on differences between local and nonlocal phenomena.

I will give an overview of the current state of the art in a bunch of selected topics, emphasizing on differences between local and nonlocal phenomena.

Contact Information: Fabrice Baudoin
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Analysis and Probability Seminar

Singular perturbations of half Ginzburg-Landau and harmonic maps

Yannick Sire (Johns Hopkins University)

Friday, January 25th, 20191:30 PM - 2:30 PM

Storrs Campus

MONT 421

I will describe a singular limit of a Ginzburg-Landau system involving the half-laplacian. Weak solutions of the system converge in some suitable sense to an harmonic map with free boundary. this solves a question raised by Da Lio and Riviere. Connections with minimal surfaces with free boundary will be emphasized.

Contact Information: Scott Zimmerman, scott.zimmerman@uconn.edu
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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, 20192:30 PM - 3:30 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-AmpÃ¨re 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 KÃ¡roly BÃ¶rÃ¶czky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang.

In the smooth category, the Gauss image problem reduces to an equation of Monge-AmpÃ¨re 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 KÃ¡roly BÃ¶rÃ¶czky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang.

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

Title TBA

Speaker TBA

Wednesday, January 30th, 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

Inequalities

Guozhen Lu (UConn)

Wednesday, January 30th, 20195:45 PM - 6:35 PM

Storrs Campus

Monteith 321

TBA

Contact Information: Keith Conrad (kconrad@math.uconn.edu)
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Analysis and Probability Seminar

Title TBA

Yumeng Ou (CUNY)

Friday, February 1st, 20191:30 PM - 2:30 PM

Storrs Campus

MONT 313

Abstract TBA

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

Friday, February 1st, 20192:00 PM - 3:30 PM

Storrs Campus

TBA

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

https://logic.uconn.edu/

https://logic.uconn.edu/

Contact Information: https://logic.uconn.edu/
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PDE and Differential Geometry Seminar

H-type foliations

Fabrice Baudoin (UCONN).

Monday, February 4th, 20192:30 PM - 3:30 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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