## Seminar September 2011- May 2012

**Seminar**: Reading Seminar

**Title:**Finished for the semester

**Speaker:** None

**Seminar**: Potpourri

**Title:** Continued Fractions Continued

**Speaker:** Bryan Arnold, SIUC

**Date**: Thursday, May 3, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: SAM (Seminar on Applied Math)

**Title:** Stochastics Alpha-Calculus Part 2

**Speaker:** Abdallah M.A. Talafha, SIUC

**Date**: Thursday, May 3, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** Semester Wrap-Up

**Speaker:** Joseph Hundley, SIUC

**Date**: Thursday, April 26, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** TBA

**Speaker:** TBA

**Date**: Thursday, April 26, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: SAM (Seminar on Applied Math)

**Title:** Stochastics Alpha-Calculus

**Speaker:** Abdallah M.A. Talafha

**Date**: Thursday, April 26, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** Poisson Summation Formula

**Speaker:** Wesley Calvert, SIUC

**Date**: Thursday, April 19, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Continued Fractions Continued

**Speaker:** B. Arnold, SIUC

**Date**: Thursday, April 19, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: SAM (Seminar on Applied Math)

**Title:**Global Stability of the Disease Free Equilibrium of Stochastic SIR Model-Part 3

**Speaker:** Kursad Tosun

**Date**: Thursday, April 19, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** Adelic Fourier Inversion

**Speaker:** B. Arnold, SIUC

**Date**: Thursday, April 12, 2012

**Place**: Neckers A 218

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Cancelled

**Speaker:** Cancelled

**Date**: Thursday, April 12, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Seminar

**Title:** Global Stability of the Disease Free Equilibrium of Stochastic SIR Model

**Speaker:** K. Tosun, SIUC

**Date**: Thursday, April 12, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** TBA

**Speaker:** B. Arnold, SIUC

**Date**: Thursday, April 4, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Continued Fractions II

**Speaker:** B. Arnold, SIUC

**Date**: Thursday, April 4, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Seminar

**Title:** "Mathematical Models in Epidemiology"

**Speaker:** K. Tosun, SIUC

**Date**: Thursday, April 4, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** "The Lattice Model of the Weil Representation."

**Speaker:** Shuichiro Takeda, University of Missouri

**Date**: Thursday, March 29, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Continued Fractions - Part 1

**Speaker:** B. Arnold, SIUC

**Date**: Thursday, March 29, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Seminar

**Title:** Stochastic Wave Equations-Numerical Methods Part 7

**Speaker:** Haziem Hazaimeh, SIUC

**Date**: Thursday, March 29, 2012

**Place**: Neckers A410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** Duality for classical groups

**Speaker:** Chris Jantzen, East Carolina University

**Date**: Thursday, March 22, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:**Discussion on Apollonian Window

**Speaker:** Jerzy Kocik

**Date**: Thursday, March 22, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Seminar

**Date**: Thursday, March 22, 2012

**Place**: Neckers A 410

**Time**: Cancelled

**Seminar**: Seminar

**Title:** Stochastic-Wave Equations Numerical Methods-Part 6

**Speaker:** Haziem Hazaimeh, SIUC

**Date**: Thursday, March 8, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** Paramodular forms, representations, and varieties

**Speaker:** Jeff Breeding, St. Louis Univ.

**Date**: Thursday, March 8, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Gaussian quadrature, association schemes as instances of Kravchuk-type orthogonality

**Speaker:**Professor Feinsilver, SIUC

**Date**: Thursday, March 8, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Seminar

**Title:** Stochastic-Wave Equations Numberical Methods-Part 5

**Speaker:** Haziem Hazaimeh, SIUC

**Date**: Thursday, March 1, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** P-adic Fourier Transform

**Speaker:** Bryan Arnold, SIUC

**Date**: Thursday, March 1, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Professor Feinsilver, SIUC

**Speaker:** The Columns Theorem for Symmetric Tensors

**Date**: Thursday, March 1, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Seminar

**Title:** Nonlinear Stochastic Wave Equations - Part 4 "Stability"

**Speaker:** Haziem Hazaimeh, SIUC

**Date**: Thursday, February 23, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Reading Seminar

**Title:** Adelesand Ideles over the rational numbers

**Speaker:** Wahidah Alsibiana, SIUC

**Date**: Thursday, February 23, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Distance Functions on Graphs Part ll

**Speaker:** Professor Calvert, SIUC

**Date**: Thursday, February 23, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Seminar

**Title:** Nonlinear Stochastic Wave Equations - Part 3

**Speaker:** Haziem Hazaimeh, SIUC

**Date**: Thursday, February 16, 2012

**Place**: Neckers 365

**Time**: 11:00pm-12:00pm

**Seminar**: Reading Seminar

**Title:** Distribution of rational and integral points and representation theory

**Speaker:** Ramin Takloo-Bighash, SIUC

**Date**: Thursday, February 16, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Distance Functions on Graphs

**Speaker:** Professor Calvert, SIUC

**Date**: Thursday, February 16, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Reading Seminar

**Title:** Adelesand Ideles over the rational numbers

**Speaker:** Wahidah Alsiniani, SIUC

**Date**: Thursday, February 9, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Seminar

**Title:** Nonlinear Stochastic Wave Equations - Part 2

**Speaker:** Haziem Hazaimeh, SIUC

**Date**: Thursday, February 9, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Part III: The Eternal Thread: Krawtchouk Polynomials

**Speaker:** Prof. Feinsilver, SIUC

**Date**: Thursday, February 9, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Reading Seminar

**Title:** Adeles over Q

**Speaker:** Liz Haynes, SIUC

**Date**: Thursday, February 2, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Seminar

**Title:** Nonlinear Stochastic Wave Equations - Part 1

**Speaker:** Haziem Hazaimeh, SIUC

**Date**: Thursday, February 2, 2012

**Place**: Neckers A 410

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:** Part II: The Eternal Thread: Krawtchouk Polynomials

**Speaker:** Prof. Feinsilver, SIUC

**Date**: Thursday, February 2, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Reading Seminar

**Title:** Adeles over Q

**Speaker:** Liz Haynes, SIUC

**Date**: Thursday, January 26, 2012

**Place**: Neckers 356

**Time**: 12:00pm-1:00pm

**Seminar**: Potpourri

**Title:**The Eternal Thread: Krawtchouk Polynomials

**Speaker:** Prof. Feinsilver, SIUC

**Date**: Thursday, January 26, 2012

**Place**: Neckers 356

**Time**: 1:00pm-2:00pm

**Seminar**: Representation Theory Seminar

**Title:** Local coefficients of non-generic representations of odd orthogonal groups

**Speaker:** Daniel File, University of Iowa

**Date**: Thursday, December 1, 2011

**Place**: Neckers 356

**Time**: 10:00am

**Abstract**: Shahidi's definition of the local coefficient of a representation relies on the existence of a unique model called the Whittaker model. The local coefficient allowed him to define the Langlands L-function of an automorphic representation at the so called "bad" primes, and establish certain predicted analytic properties for these L-functions such as the functional equation and meromorphic continuation.

However, there are examples of automorphic representations that do not posses a Whittaker model, and so Shahidi's method does not apply. Friedberg and Goldberg were able to use another model to define a local coefficient; however, their result required a certain minimality hypothesis. Recently, Goldberg has used this technique to prove a "crude" functional equation for certain automorphic representations of $SO(5)$. I will describe the method of Friedberg and Goldberg and recent improvements to their result.

**Colloquium**: Math SIUC

**Title:**Practical Multivariate Robust Statistics

**Speaker:**Professor David Olive, SIUC

**Date**: Thursday, December 1, 2011

**Place**: Neckers 156

**Time**: 3:00pm

**Abstract**: Statistics is the science of extracting useful information from data, and a statistical model is used to provide a useful approximation to some of the important characteristics of the population which generated the data.

Multivariate Robust Statistics tries to find methods that give good results for multiple linear regression or multivariate location and dispersion for a large group of underlying distributions and that are useful for detecting certain types of outliers, which are observations that lie far away from the bulk of the data. Plots for detecting outliers and high leverage cases, and prediction intervals and regions that work for large classes of distributions are also of interest. This talk will survey the practical methods that I have been developing since 2004 and give a preview of the Fall 2012 Math 583 class Robust Multivariate Analysis.

Almost all of the competing literature on multivariate robust statistics follows the Rousseeuw and Yohai paradigm which is based on one of the largest and longest running scientific hoaxes in history: that impractical multivariate robust estimators can be efficiently computed by using some criterion to select a fit from a fixed number of easily computed trial fits. Hence this literature is untrustworthy: the best papers either give large sample theory for brand name estimators that take far too long to compute, or give practical outlier resistant methods that are not backed by large sample theory. Click here for the flier.

**Seminar**: Algebra & Representation

**Title:**Fields of Definition and Nonsplit Groups

**Speaker:** Professor Joseph Hundley, SIUC

**Date**: Thursday, November 17, 2011

**Place**: Neckers 356

**Time**: 10:00am

**Seminar**: Potpourri Seminar

**Title:**Bernoulli Systems: Kravchuk Polynomials via Symmetric Tensor Powers

**Speaker:**Professor Philip Feinsilver, SIUC

**Date**: Friday, October 7, 2011

**Place**: Neckers 356

**Time**: 1:00pm

**Colloquium**: Math SIUC

**Title:**Utility Maximization and (F)BSDE of Quadratic Growth

**Speaker:**Peter Imkeller, HU Berlin, CV

**Date**: Thursday, November 17, 2011

**Place**: Neckers 156

**Time**: 3:00pm

A financial market model is considered on which agents (e.g. insurers) are subject to an exogenous financial risk, which they trade by issuing a risk bond. They are able to invest in a market asset correlated with the exogenous risk. We investigate their utility maximization problem, and calculate bond prices using utility indifference. In the case of exponential utility, this hedging concept is interpreted by means of martingale optimality, and solved with BSDE with drivers of quadratic growth in the control variable.

For more general utility functions defined on the whole real line we show that if an optimal strategy exists then it is given in terms of the solution (X, Y, Z) of a fully coupled FBSDE. Conversely if the FBSDE admits a solution (X, Y, Z) then an optimal strategy can be obtained. In the complete market case, an assumption on the risk aversion guarantees that the FBSDE admits a solution for any finite time horizon. As a particular example of our approach we recover the BSDE for exponential utility, and are able to treat non-classical utility functions like the sum of exponential ones.

For utility functions defined on the half line we also reduce the maximization problem to the solution of FBSDE connected with the ones obtained by Peng (1993). In complete markets, once again we provide conditions for solvability that are applicable to the power, the logarithmic and some non-classical utilities. In our approach we propose an alternative form of the maximum principle for which the Hamiltonian is reflected in a remarkable martingale. This is joint work with U. Horst, Y. Hu, A. Réveillac, and J. Zhang. Click here for the flier.

**Colloquium**: Math SIUC

**Title:**Applying diffusion models to insect dispersal in real landscapes - tales from two systems

**Speaker:**John Reeve, Southern Illinois University, Carbondale

**Date**: Thursday, October 20, 2011

**Place**: Neckers 156

**Time**: 3:00pm

Dispersal is a fundamental population process in ecology. We use diffusion models to examine dispersal in two systems, bark beetles and their predators in pine ecosystems, and a planthopper and its egg parasitoid in a prairie one. These organisms inhabit complex landscapes that are composed of habitat patches embedded within non-habitat (matrix) regions of several different types. We conducted mark-recapture experiments in which insects were released at different locations within habitat patches, the matrix, and at habitat-matrix edges. We then fitted diffusion models to these observations which incorporated different diffusion rates for habitat vs. matrix as well as edge behavior in the form of a biased random walk. Diffusion rates and edge behavior were species specific and strongly dependent on the matrix type in both these systems. For the planthoppers, differences in edge behavior may explain why the surrounding matrix strongly affects their local population dynamics. For more information about John Reeve go to here. For more information about the colloquium go here.

**Colloquium**: Math SIUC

**Title:**Dihedral Fourier Analysis of Symmetry Preference Data

**Speaker:**Marlos Viana, University of Illinois at Chicago Eye Center, Chicago, USA

**Date**: Thursday, October 6, 2011

**Place**: Neckers 156

**Time**: 3:00pm

In this talk I will briefly review the notion of Fourier analysis over finite groups and emphasize the case of dihedral analysis and its applications in optics and molecular biology. The notion of experimental results indexed by symmetries will be discussed and illustrated with a study in symmetry preferences. The notions of symmetry orbits, symmetry invariants, arbitrariness resolution, as well as the determination of the orbit invariants as Fourier transforms will be discussed and statistically evaluated for particular cases. The experimental design and results to be discussed in the illustration are described in detail and available here. Check out the flier here.

**Seminar**: Algebra & Representation

**Title:**GSpin groups

**Speaker:**Professor Joseph Hundley

**Date**: Thursday, October 6, 2011

**Place**: Neckers 356

**Time**: 1:00pm

**Seminar**: Potpourri Seminar

**Title:**Dihedral Fourier Analysis and Applications in Statistical Optics: A Brief Introduction

**Speaker:**Marlos Viana, University of Illinois at Chicago Eye Center, Chicago, USA

**Date**: Friday, October 7, 2011

**Place**: Neckers 356

**Time**: 1:00pm

In this talk I will describe the notion of experimental data indexed by symmetries, with particular interest in optical data indexed by (dihedral) symmetries of planar rotations and reversals. The purpose of the talk is to show that there is a formal algebraic connection between experimental results obtained along a dihedral symmetry orbit and the statistical analysis of those data, both at the exploratory and inferential levels. I will also emphasize the role of the dihedral Fourier transform in the determination and interpretations of the underlying orbit invariants. Data analytic aspects of refraction power, corneal curvature, and polarimetric-enhanced imaging will be presented within the framework of dihedral analysis.

**Seminar**: Algebra & Representation

**Title:**GSpin groups

**Speaker:**Professor Joseph Hundley

**Date**: Thursday, September 29, 2011

**Place**: Neckers 356

**Time**: 10:00am

**Seminar**:Potpourri Seminar

**Title:**

**Speaker:**

**Date**: Thursday, September 29, 2011

**Place**: Neckers 356

**Time**: CANCELLED

**Colloquium**: Math SIUC

**Title:**The Best Conditioned Markov Chains

**Speaker:** Dr. Jianhong Xu

**Date**: Thursday, September 22, 2011

**Place**: Neckers A 156

**Time**: 3:00pm

ABSTRACT: What makes a best conditioned Markov chain? In addition to its merit in computation, such

a chain also shows optimality in its maximum mean first passage time between any two states. Here is the story about the settlement of a then three-year-old conjecture due to Steve Kirkland on best conditioned Markov chains. The counterexamples were sort of elusive. I wouldn't have been able to stumble across them without Mathematica. Event Flier

**Seminar**:Algebra & Representation

**Title:** Iwahori factorization for covering groups

**Speaker:** Professor Dubravka Ban

**Date**: September 15, 2011

**Day**: Thursday

**Time**: 10:00am