Department of

# Mathematics

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

.
events for the
events containing

(Requires a password.)
More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
      March 2014             April 2014              May 2014
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1          1  2  3  4  5                1  2  3
2  3  4  5  6  7  8    6  7  8  9 10 11 12    4  5  6  7  8  9 10
9 10 11 12 13 14 15   13 14 15 16 17 18 19   11 12 13 14 15 16 17
16 17 18 19 20 21 22   20 21 22 23 24 25 26   18 19 20 21 22 23 24
23 24 25 26 27 28 29   27 28 29 30            25 26 27 28 29 30 31
30 31


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?