YoVDO

Mirror Symmetry and Big Algebras

Offered By: ICTP Mathematics via YouTube

Tags

Mirror Symmetry Courses Algebraic Geometry Courses Hitchin Systems Courses

Course Description

Overview

Explore mirror symmetry and big algebras in this comprehensive lecture by Tamas Hausel. Delve into the mirror symmetry identification of coordinate rings in Hitchin systems and Kirillov algebras for minuscule representations of Langlands dual groups. Examine the connection to equivariant cohomology of cominuscule flag varieties, such as complex Grassmannians. Investigate a conjectural extension to non-very stable upward flows, involving a big commutative subalgebra of the Kirillov algebra and its relation to equivariant intersection cohomology of affine Schubert varieties. Cover key topics including introduction, motivation, fundamental modifications, pglnfix, aging map, universal bundle, and big algebra throughout this in-depth mathematical exploration.

Syllabus

Introduction
Motivation
Fundamental modifications
pglnfix
Aging map
Universal bundle
Big algebra


Taught by

ICTP Mathematics

Related Courses

Tamas Hausel - Enhanced Mirror Symmetry for Langlands Dual Hitchin Systems
International Mathematical Union via YouTube
Products of Matrices, Non-Abelian Hodge Theory, Integrable Systems, and Theories of Class S
IMSA via YouTube
Mirror Symmetry and Big Algebras in the Hitchin System
IMSA via YouTube
Hitchin Systems - An Introduction to Complex Geometric Structures
Fields Institute via YouTube
4D N=2 Superconformal Field Theories and Families of Hitchin Systems
Galileo Galilei Institute via YouTube