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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

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