## Seminar September 2013 - May 2014

**Seminar: SAM (Seminar on Applied Math)**** ** Title: Modified Stochastic Sine- Gordon Equation/ NUMERICAL METHODS FOR FOURIER COEFFICIENTS (LIEM)(3)

Speaker: Abdallah Talafha

Date: 4-24-14

Place: Neckers 356

Time: 1:00pm

**Seminar: SAM (Seminar on Applied Math)**** ** Title: Modified Stochastic Sine- Gordon Equation/ NUMERICAL METHODS FOR FOURIER COEFFICIENTS (LIEM)(2)

Speaker: Abdallah Talafha

Date: 4-17-14

Place: Neckers 356

Time: 1:00pm

**Seminar: SAM (Seminar on Applied Math)**** ** Title: Modified Stochastic Sine- Gordon Equation/ NUMERICAL METHODS FOR FOURIER COEFFICIENTS (LIEM)(1)

Speaker: Abdallah Talafha

Date: 4-10-14

Place: Neckers 356

Time: 1:00pm

**Seminar: SAM (Seminar on Applied Math)**** ** Title: Modified Stochastic Sine- Gordon Equation/ STABILITY OF N-DIMENSIONAL TRUNCATED SYSTEM (2)

Speaker: Abdallah Talafha

Date: 4-1-14

Place: Neckers 356

Time: 1:00pm

**Seminar: SAM (Seminar on Applied Math)** Title: Modified Stochastic Sine- Gordon Equation/ Existence and Uniqueness of Infinite-Dimensional System

Speaker: Abdallah Talafha

Date: 3-20-14

Place: Neckers 356

Time: 1:00pm

**Colloquium: Math SIUC** Title: Admissibility Analysis and Synthesis of Singular Systems via Delta Operator Method

Speaker: Xin-zhuang Dong

Date: 3-20-14

Place: Neckers 156

Time: 3:00pm

Abstract: In this report, we present some of our research results about studying singular systems via delta operator method. The delta operator model is set up for a singular continuous system. It is obtained from the discrete model of the singular continuous system and will tend to the singular continuous system when the sampling period tends to zero. Thus, the delta operator model provides a unified description of a singular continuous system and its discrete model. Various necessary and sufficient admissibility conditions are given for singular delta operator systems and the relations among these conditions are also presented. Several sufficient conditions are derived to solve the problem of admissible control for singular delta operator systems and the design methods of an admissible controller are also given. Some examples are provided to illustrate the effectiveness of the above theoretical results.

** Seminar: SAM (Seminar on Applied Math) ** Title: Modified Stochastic Sine- Gordon Equation/ Existence and Uniqueness (4)

Speaker: Abdallah Talafha

Date: 3-6-14

Place: Neckers 356

Time: 1:00pm

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

**Title**: Modified Stochastic Sine- Gordon Equation/ Existence and Uniqueness (4)

**Speaker**: Abdallah Talafha

**Date:** 3-6-14

**Place:** Neckers 356

**Time**: 1:00pm

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

**Title**: Modified Stochastic Sine- Gordon Equation/ Existence and Uniqueness (3)

**Speaker**: Abdallah Talafha

**Date:** 2-27-14

**Place:** Neckers 356

**Time**: 1:00pm

**Seminar:** Potpourri Seminar

**Title:** Representations of SU(2) -- math 101

**Speaker:** Jerzy Kocik

**Date:** 2-27-14

**Place:** Neckers 356

**Time:** 3:00pm

Seminar: Potpourri Seminar

Title: Representations of SU(2) -- math 101

Speaker: Jerzy Kocik

Date: 2-27-14

Place: Neckers 356

Time: 3:00pm

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

**Title:** Modified Stochastic Sine- Gordon Equation/ Existence and Uniqueness

**Speaker:** Abdallah Talafha

**Date:** 2-20-14

**Place:** Neckers 356

**Time:** 1:00pm

**Colloquium: Math SIUC**

Title: Formal Construction and Generation of Algorithms

Speaker:Haihe Shi (Jiangxi Normal University, Nanchang, China)

Date: 2-20-14

Place: Neckers 156

Time: 3:00pm

Abstract: Recently trustworthy software has been proposed and advocated by many countries and many academic communities. As the core of computer software, algorithm, especially its reliability and productivity, plays a critical role in both trustworthiness and application of software. Formal method and automation of algorithms have been shown to be important ways to improve the reliability and productivity of various algorithms. Yet, due to the creativity involved, algorithm formal method still remains to be one of the field’s most challenging problems. Its use so far within the software development community has not been commensurate with its potential. Therefore, it is necessary to explore the laws during algorithm design and to propose new techniques. Here series of our work will be presented, including a unified and practical formal approach and its supporting platform, algorithm development rules/strategies and prototype system, sorting algorithms via formal component product line assembly, and algorithm design through the optimization of reuse-based generation via category theoretical semantic. Also, some recent ongoing works will be introduced. Poster

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

**Title:** Modified Stochastic Sine- Gordon Equation/ Existence and Uniqueness

**Speaker:** Abdallah Talafha

**Date:** 2-13-14

**Place:** Neckers 356

**Time:** 1:00pm

**Seminar:** Potpourri Seminar

**Title:** Spin Networks From Tensor Graphical Calculus

**Speaker:** Jerzy Kocik

**Date:** 2-13-14

**Place:** Neckers 356

**Time:** 3:00pm

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

**Title:** Modified Sine- Gordon Equation/ Derivation of Fourier Solutions Part 2

**Speaker:** Abdallah Talafha

**Date:** 2-6-14

**Place:** Neckers 356

**Time:** 1:00pm

** Colloquium:** Math SIUC

**Title: Representations of covering groups**

**Speaker: Dubravka Ban**

**Date: 2-6-14**

**Place: Neckers 156**

**Time: 3:00pm**

**Abstract: Let F be a p-adic field, and let G be the group of F-points of an algebraic group defined over F. We will talk about n-fold topological coverings of G. In general, these groups are not algebraic. Still, we can use the structure of G to obtain important information about the structure of covering groups. This is a basis for developing representation theory for covering groups. Important examples of covering groups are metaplectic groups, which are n-fold covers of GL(k,F). Poster**

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

**Title:** Modified Sine- Gordon Equation/ Derivation of Fourier Solutions

**Speaker:** Abdallah Talafha

**Date**: Thursday, January 30, 2014

**Place**: Neckers 356

**Time**: 1:00pm

**Seminar**: Potpourri Seminar

**Title:** Spin Networks...What are they?

**Speaker:** Jerzy Kocik

**Date**: Thursday, January 30, 2014

**Place**: Neckers 356

**Time**: 3:00pm

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

**Title:** Modified Sine- Gordon Equation with White Noise/Introduction

**Speaker:** Abdallah Talafha

**Date**: Thursday, January 23, 2014

**Place**: Neckers 356

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

Seminar: Algebra Seminar

Title: The magic behind quantum computing: Chapter 1

Speaker: Jerzy Kocik

Date: 12-5-13

Place: Neckers 356

Time: 1:00 PM

Seminar: Algebra Seminar

Title: The magic behind quantum computing: Chapter \sqrt{-1}

Speaker: Jerzy Kocik

Date: 11-21-13

Place: Neckers 356

Time: 1:00 PM

Seminar: Algebra Seminar

Title: Randomness and Dynamics Modulo 1, Part 3

Speaker: Wesley Calvert

Date: 11-14-13

Place: Neckers 356

Time: 1:00 PM

Seminar: Algebra Seminar

Title: Randomness and Dynamics Modulo 1, Part 2

Speaker: Wesley Calvert

Date: 11-7-13

Place: Neckers 356

Time: 1:00 PM

Seminar: Algebra Seminar

Title: Formal Degrees and Multiplicities in Restriction2

Speaker: Kwangho Choiy

Date: 10-17-13

Place: Neckers 356

Time: 1:00 PM

Colloquium: Math SIUC

Title: p-adic inner forms and invariants of Langlands parameters

Speaker: Kwangho Choiy | Website

Date: 10-17-13

Place: Neckers 156

Time: 3:00pm

Abstract: The local Langlands conjecture for a p-adic group predicts a relationship between irreducible complex representations of the group and certain homomorphisms from the local Langlands group into the Langlands dual group. The latter homomorphisms are called Langlands parameters, and the representations of the p-adic group are partitioned into finite sets, called L-packets, indexed by Langlands parameters.

It is natural to expect some properties that all members in an L-packet have in common. Also, it can be questioned what kinds of data can be preserved by inner twistings which define inner forms. This talk will focus on such invariants. We begin with background and basic concepts in the representation theory of p-adic groups, and survey some known cases on the local Langlands conjecture. We finally discuss the invariants of Langlands parameters. Poster

**Seminar:** Algebra Seminar

**Hermitian Quaternionic Groups Part 2**

**Title:****Bryan Arnold**

**Speaker:****10-17-13**

**Date:****Neckers 356**

**Place:****1:00 PM**

**Time:****Seminar:** Algebra Seminar

**Hermitian Quaternionic Groups**

**Title:****Bryan Arnold**

**Speaker:****10-3-13**

**Date:****Neckers 356**

**Place:****1:00 PM**

**Time:**** Seminar:** Algebra Seminar

**Title:**Filtrations of the Induced Space

**Speaker:**Dubravka Ban

**Date:**9-19-13

**Place:**Neckers 356

**Time:**1:00 PM

**Colloquium:** Math SIUC

**Title:** Generalized Fractional Calculus and the Application to Oscillator Equations

Speaker: Yufeng Xu (Central South University, Changsha, China)

**Date:** 9-19-13

**Place:** Neckers 156

Time: 3:00pm

Abstract: Fractional Calculus has gained considerable development in the recent forty years, while in fact it is a subject of several hundred years as Calculus. Fractional integral and differential equations have been applied in many physical and engineering real-world problems, and have been verified as powerful tools in modeling particular phenomena with memory effect. In this talk, we will introduce the mathematical preliminaries of fractional calculus, including different definitions of fractional integrals and fractional derivatives, and some properties of fractional operators. Furthermore, we would like to introduce two types of generalized fractional operators, which contain all existing classical and fractional integrals and derivatives as special cases. Those generalized fractional operators are firstly proposed in 2010 and 2012, respectively. Nowadays it is opening some possible interests on fractional calculus. As an application, we finally discuss the dynamical behaviors of Harmonic oscillator and van der Pol oscillator with generalized fractional derivatives, which depends on different kernel functions. Many interesting dynamics may not appear in classical Harmonic and van der pol oscillators will be presented.

** Seminar:** Seminar on Applied Mathematics

**Title:**TBA

**Speaker:**TBA

**Date:**TBA

**Place:**Neckers 356

**Time:**12:00 PM

** Seminar:** Math Biology Seminar

**Title:**TBA

**Speaker:**TBA

**Date:**

**TBA**

**Place:**Neckers 356

**Time:**2:00 PM

** Seminar:** Algebra Seminar

**Title:**Eisenstein Series and Theta Functions, part 2

**Speaker:**Joe Hundley

**Date:**9-5-13

**Place:**Neckers 356

**Time:**1:00 PM