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 |