YoVDO

On Some Fans and Toric Varieties Related to Branching Laws for Reductive Groups

Offered By: IMSA via YouTube

Tags

Toric Varieties Courses Representation Theory Courses Algebraic Geometry Courses Geometric Invariant Theory Courses

Course Description

Overview

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.

Syllabus

V. Tsanov, IMI, Sofia: On some fans & toric varieties related to branching laws for reductive groups


Taught by

IMSA

Related Courses

Log Symplectic Pairs and Mixed Hodge Structures
IMSA via YouTube
Enumerative Geometry and the Quantum Torus
IMSA via YouTube
Quantum Toric Geometry I
IMSA via YouTube
An Introductory Mini Course into Quantum Toric Geometry Lecture I - Day 1
IMSA via YouTube
Mirror Symmetry for Fano Orbifolds - Lecture 01
ICTP Mathematics via YouTube