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06 November Friday

Anne Dranowski (IAS): Reverse plane partitions and Lusztig’s dual semicanonical basis

06 November 2020, 11:00 - 06 November 2020, 12:00
En ligne/online, Canada

Résumé: In this talk we will show how one can reconstruct a minuscule subset of Lusztig’s dual semicanonical basis from the combinatorial data of reverse plane partitions for corresponding minuscule posets. We will describe a (type independent) crystal structure on reverse plane partitions and show that it is compatible with that on the minuscule dual semicanonical basis. Time permitting we will explore geometric connections in type A.

Date: 6 November 2020
Time: 11 h 00 min - 12 h 00 min
Venue Name: En ligne/online
Address: Canada