From Turaev to Rokhlin via VOA Characters and Curve Counting
Offered By: IMSA via YouTube
Course Description
Overview
Explore a comprehensive lecture on new q-series invariants of 3-manifolds labeled by Spin-C structures, delivered by Sergei Gukov from the California Institute of Technology. Delve into the topological origins of these invariants and discover their unexpected properties and connections to other mathematical areas, such as characters of logarithmic vertex algebras. Examine the interpretation of integer coefficients in these q-series invariants as solutions to specific enumerative problems. Investigate the relationships between these invariants and other 3-manifold invariants labeled by Spin and Spin-C structures when q approaches special values. Cover topics including motivation, properties, early papers, logarithmic VOA, examples, Dramafitpt homology, Fagin, and branches throughout this in-depth exploration of advanced mathematical concepts.
Syllabus
Introduction
Motivation
Properties
Summary
Early papers
Logarithmic VOA
Example
Dramafit
Pt homology
Fagin
Branches
Taught by
IMSA
Related Courses
Universe or Multiverse?Stanford University via World Science U Inflationary Cosmology
Massachusetts Institute of Technology via World Science U Nature's Constituents
California Institute of Technology via World Science U Endless Universe: Beyond the Big Bang
Princeton University via World Science U Fundamental Lessons From String Theory
Harvard University via World Science U