Explore a lecture on the combinatorial description of GIT-classes and special properties of the GIT-fan in relation to branching laws for reductive groups. Delve into the translation of H-invariant vectors in finite dimensional representations of G into Geometric Invariant Theory for the H-action on the complete flag variety G/B. Examine the approach initiated by Heckman and developed by Berenstein-Sjamaar, Belkale-Kumar, and Ressayre, leading to a description of the H-ample cone. Investigate how representation theoretic information on H G can be encoded into properties of toric varieties associated with the GIT-fan and relevant lattices, based partly on joint work with Seppaenen.
On Some Fans and Toric Varieties Related to Branching Laws for Reductive Groups
University of Miami via YouTube
Overview
Syllabus
V. Tsanov, IMI, Sofia: On some fans & toric varieties related to branching laws for reductive groups
Taught by
IMSA