Department of

# Mathematics

Seminar Calendar
for events the day of Tuesday, May 21, 2019.

.
events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
      April 2019              May 2019              June 2019
Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa   Su Mo Tu We Th Fr Sa
1  2  3  4  5  6             1  2  3  4                      1
7  8  9 10 11 12 13    5  6  7  8  9 10 11    2  3  4  5  6  7  8
14 15 16 17 18 19 20   12 13 14 15 16 17 18    9 10 11 12 13 14 15
21 22 23 24 25 26 27   19 20 21 22 23 24 25   16 17 18 19 20 21 22
28 29 30               26 27 28 29 30 31      23 24 25 26 27 28 29
30


Tuesday, May 21, 2019

11:00 am in 241 Altgeld Hall,Tuesday, May 21, 2019

#### Involution graph Schubert varieties

###### Brendan Pawlowski (University of Southern California)

Abstract: Every product of Schur functions arises as a Stanley symmetric function, which can be decomposed into Schur terms by Lascoux and Schutzenberger's transition recurrence, giving a Littlewood-Richardson rule as a special case. A similar approach using involution Stanley symmetric functions gives a Littlewood-Richardson rule for Schur P- and Q-functions. On the geometric side, Knutson, Lam, and Speyer showed that Stanley symmetric functions represent cohomology classes of graph Schubert varieties in Grassmannians. We identify analogous varieties in isotropic Grassmannians whose classes correspond to involution Stanley symmetric functions. We hope that this geometric connection will allow the transition approach to Littlewood-Richardson rules to be extended to the K-theory (and other cohomology theories) of isotropic Grassmannians.