Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, April 2, 2014.

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Wednesday, April 2, 2014

3:00 pm in 145 Altgeld Hall,Wednesday, April 2, 2014

Tensor diagrams and cluster algebras

Pavlo Pylyavskyy   [email] (University of Minnesota)

Abstract: The rings of SL(V) invariants of configurations of vectors and linear forms in a finite-dimensional complex vector space V were explicitly described by Hermann Weyl in the 1930s. We show that when V is 3-dimensional, each of these rings carries a natural cluster algebra structure (typically, many of them) whose cluster variables include Weyl's generators. We describe and explore these cluster structures using the combinatorial machinery of tensor diagrams. A key role is played by the web bases introduced by G.Kuperberg. This is joint work with Sergey Fomin.

4:00 pm in 245 Altgeld Hall,Wednesday, April 2, 2014

Vector bundles

Steven Bradlow (Department of Mathematics, University of Illinois at Urbana-Champaign)

Abstract: Vector Bundles: What are they and what can we say about them?