Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, June 23, 2016.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
       May 2016              June 2016              July 2016
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1  2  3  4  5  6  7             1  2  3  4                   1  2
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31


Thursday, June 23, 2016

12:00 pm in 345 Altgeld Hall,Thursday, June 23, 2016

#### Determinants, Lattice Paths, and Sign-Reversing Involutions

###### Cara Monical (University of Illinois at Urbana-Champaign)

Abstract: Certain matrices are known to have positive determinant despite the signs involved in calculating the determinant. The Gessel-Viennot-Lindstrom lemma provides a powerful tool for interpreting the determinant of particular matrices as the generating function for certain families of lattice paths. In this talk, we will discuss this lemma and a range of applications, particularly in algebraic combinatorics.