Seminar in Representation Theory

Speaker: | You-Hung Hsu (NCTS) |

Title: | Demazure Operators Via Shifted 0-Affine Algebras |

Time: | 2021-09-29 (Wed.) 10:00 - 11:00 |

Place: | Seminar Room 638, Institute of Mathematics (NTU Campus) |

Abstract: | Bernstein-Gelfand-Gelfand (1973) and Demazure (1974) introduced the so-called divided difference operators acting on cohomology and K-theory of full flag varieties. These operators play an important role in the theory of Schubert calculus and representation of Hecke algebras. In this talk, we give a generalization of the construction of BGG/Demazure operators to partial flag varieties. The main idea is to interpret the Demazure operators in terms of elements in the shifted q=0 affine algebra. Finally, we calculate the action of those operators on the basis given by Kapranov exceptional collection.
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