Tangent cones of Schubert varieties in Type A


One way to define Type A Schubert varieties is as matrix varieties, that is as a subset of SLn satisfying some extra conditions. The geometry of this variety is tightly connected to the combinatorics of the symmetric group Sn on n letters. Moreover to each element w in S_n there exists one such variety X_w. In this talk I will explain a new approach to a characterization which Schubert varietes X_w and X_v for different w,v in S_n share the same tangent cone at the identity.

This is joint work with Stephane Gaussent (Saint Etienne).

No prior knowledge of Schubert varieties will be assumed.

Valeria Hünniger

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Francesca Arici

Radboud University Nijmegen

Tatjana Eisner

Leipzig University

Barbara Gentz

University of Bielefeld

Angkana Rüland

Max Planck Institute for Mathematics in the Sciences

Rebecca Waldecker

Martin-Luther-University Halle-Wittenberg

Milena Wrobel

Carl von Ossietzky Universität Oldenburg