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Texas A&M University
Mathematics

Linear Analysis Seminar

Fall 2018

 

Date:September 29, 2018
Time:08:30am
Location:BLOC 166
Title:BRAZOS ANALYSIS SEMINAR

Date:September 30, 2018
Time:08:30am
Location:BLOC 166
Title:BRAZOS ANALYSIS SEMINAR

Date:October 12, 2018
Time:4:00pm
Location:BLOC 220
Speaker:Rufus Willet, University of Hawaii
Title:Representation stability and topology
Abstract:Let G be a discrete group with a fixed finite generating set S. A map from G into some (finite dimensional) unitary group U(n) is an epsilon-representation if it is a group homomorphism up to epsilon error (for the operator norm) on the finite set S. Thus a quasi-representation is a close to being a representation in some sense. The group G is stable if every epsilon representation is close to an actual representation, in a precise sense. For example, free groups are fairly obviously stable. However, a famous result of Voiculescu shows that the rank two free abelian group is not stable. In his thesis, Loring gave this a topological interpretation: it turns out that Voiculescu’s result is more-or-less equivalent to Bott periodicity. I’ll try to explain all this, and how topological information can be used to produce many other examples of non-stable groups.

Date:October 19, 2018
Time:4:00pm
Location:BLOC 220
Speaker:Alan Czuron, University of Houston
Title:On the isomorphisms of Fourier algebras of finite abelian groups.
Abstract:We prove that if G_1 and G_2 are two infinite Vielenkin groups of bounded exponents such that G_1 is not a subgroup of G_2 then there are finite dimensional invariant convolution subalgebras of L^1(G_1) distant from any invariant convolution subalgebras of L^1(G_2). We show that the norm of certain class of algebraic isomorphims between them grows to infinity with the dimension.

Date:November 9, 2018
Time:09:00am
Location:BLOC 220
Title:Micro-workshop on Groups, Dynamics and Operator Algebras

Date:November 16, 2018
Time:4:00pm
Location:BLOC 624
Speaker:Matthew Fleeman, Baylor University
Title:Hyponormal Toeplitz Operators Acting on the Bergman Space