NIU Department of Mathematical Sciences

Upcoming Colloquia and Seminars

September 15-21, 2014

Math Department Colloquium

Friday, September 19, 4:00-5:00 p.m. in DU 348
Speaker: Casian Pantea, West Virginia Univ.
Title:   Chemical reaction theory: dynamics from structure

Abstract: Much attention has been paid recently to bistability and switch-like behavior that might be resident in important biochemical reaction networks. It turns out that large classes of extremely complex networks cannot give rise to multistationarity, no matter what their reaction rates might be. In turn, absence of multistationarity in a reaction network is often a consequence of the corresponding vector field being injective. In this talk I will give an overview of some old and new injectivity results in vector fields associated with a bichemical reaction network. The talk will be aimed largely at mathematicians who are inexpert in biology or chemistry, and will assume no prior knowledge of how differential equations come about in these scientific fields.

Coffee and refreshments at 3:30 in Watson 322


Algebra Seminar:   Thursday, Sept. 18, 3:00-4:00 p.m. in DU 412
Speaker: Harvey Blau
Topic: All-Involution Table Algebras and Finite Projective Space (continued)
Abstract: Table algebras all of whose nontrivial basis elements are involutions (in the sense of Zieschang), which serve as a counterpoint to the generic Hecke algebras parametrized by Coxeter groups, are classified. If two-generated, they are a family (discovered by Blau and Chen for all n at least 3) which for suitable n arise from schemes defined by affine planes of order n-1. Otherwise, the basis involutions correspond to the points of a finite projective space, whose incidence geometry determines the algebra multiplication. This joint work with Gang Chen generalizes to table algebras a previous result of van Dam for association schemes.

Complex Analysis Seminar:   Tuesday, Sept. 16, 12:00-12:50 p.m. in DU 412
Speaker: Alistair Fletcher
Topic: Blaschke Products and Domians of Ellipticity continued