Geometry of the flag variety (Nicolas Hemelsoet, University of Geneva)

15.12.2021 17:00

If V is a vector space, a flag is a sequence of increasing subspace V_1 < V_2 < ... V_n = V such that dim(V_i) = i. The set of all flag is a very interesting geometric object called the flag variety, and has been extensively studied in representation theory. We will explain the theorem of Borel-Bott-Weil, which construct certain representations of SL_n(C) using the geometry of the flag variety. If we have enough time, I will explain how to construct interesting subvarieties of the flag varieties (called "Springer fibers").

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Graduate Seminar

entrée libre