Department of

Mathematics


Seminar Calendar
for events the week of Saturday, May 25, 2019.

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More information on this calendar program is available.
Questions regarding events or the calendar should be directed to Tori Corkery.
      April 2019              May 2019              June 2019      
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                                               30                  

Sunday, May 19, 2019

2:00 pm in South Lounge, Illini Union,Sunday, May 19, 2019

Department of Mathematics Retirement Reception

Abstract: The Department of Mathematics will hold a retirement reception from 2-4 pm on Sunday, May 19, 2019, in the South Lounge of the Illini Union. Please join us as we honor the following individuals: Maarten Bergvelt, Bruce Berndt, Tori Corkery, Julian Palmore, Zhong-Jin Ruan, and Jang-Mei Wu.

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.