Department of

# Mathematics

Seminar Calendar
for events the day of Wednesday, September 9, 2015.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Wednesday, September 9, 2015

3:00 pm in 345 Altgeld Hall,Wednesday, September 9, 2015

#### Combinatorial solutions to the T-system with principal coefficients

###### Panupong Vichitkunakorn (UIUC Math)

Abstract: The $A_\infty$ T-system, also called the octahedron recurrence, is a dynamical recurrence relation. It can be realized as mutation in a coefficient free cluster algebra [Kedem 08]. We define T-systems with principal coefficients from cluster algebra aspect, and give combinatorial solutions with respect to any valid initial condition in terms of partition functions of perfect matchings, non-intersecting paths and networks. This also provides a solution to other systems with various choices of coefficients on T-systems including Speyer’s octahedron recurrence [Speyer 07], generalized lambda-determinants [Di Francesco 13] and (higher) pentagram maps [Schwartz 92, Ovsienko et al. 00, Glick 11, Gekhtman et al. 14].

4:00 pm in 245 Altgeld Hall,Wednesday, September 9, 2015
###### Richard Laugesen   [email] (UIUC Mathematics)

Abstract: Are you considering graduate school in Mathematics, either now or in future? Then come along and ask questions at this informal discussion. We will talk about why to consider graduate school, how to apply, and factors influencing where to choose. Plus, nonacademic career options in industry and national labs for mathematicians with Masters and PhD degrees.