YoVDO

Floer Theory and Quantum Groups

Offered By: IMSA via YouTube

Tags

Quantum Groups Courses Partial Differential Equations Courses Theoretical Physics Courses Floer Theory Courses 3-Manifolds Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a comprehensive lecture on Floer theory and quantum groups presented by Sergei Gukov from CalTech. Delve into the long-anticipated connection between Vafa-Witten and Marcus-Kapustin-Witten theories and their relation to Floer homologies of 3-manifolds. Examine recent developments in direct computation of these invariants based on PDEs and moduli spaces. Investigate moduli spaces in 4D gauge theories and their computation for an infinite family of 3-manifolds relevant to various surgery operations, including the Gluck twist, knot surgeries, and log-transforms. Compare the results to skein modules of the same 3-manifolds and understand the importance of K-theoretic versions of these moduli spaces in relation to a three-dimensional Spin^c TQFT associated with quantum groups at generic values of the parameter q.

Syllabus

Sergei Gukov, CalTech: Floer theory and quantum groups


Taught by

IMSA

Related Courses

Skein Exact Triangles in Equivariant Singular Instanton Theory
IMSA via YouTube
Homological Mirror Symmetry - Homological Link Invariants from Floer Theory
IMSA via YouTube
Stability Structures in Holomorphic Morse-Novikov Theory
IMSA via YouTube
Semi-Affineness of Wrapped Invariants on Affine Log Calabi-Yau Varieties
IMSA via YouTube
Birational Calabi-Yau's and Floer Cohomology
IMSA via YouTube