Seminar Fall 2013 | Mathematics | SIU

Southern Illinois University

Seminar Fall 2013 | Mathematics | SIU

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Seminar Fall 2013

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
Title:
Hermitian Quaternionic Groups Part 2
Speaker:
Bryan Arnold
Date:
10-17-13
Place:
Neckers 356
Time:
1:00 PM

Seminar: Algebra Seminar
Title:
Hermitian Quaternionic Groups
Speaker:
Bryan Arnold
Date:
10-3-13
Place:
Neckers 356
Time:
1:00 PM


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