Published:
[Erscheinungsort nicht ermittelbar]: Institut des Hautes Études Scientifiques (IHÉS), 2021
Published in:Summer School 2021: Enumerative Geometry, Physics and Representation Theory ; (Jan. 2021)
Extent:
1 Online-Ressource (168 MB, 01:03:05:09)
Language:
English
DOI:
10.5446/55033
Identifier:
Origination:
Footnote:
Audiovisuelles Material
Description:
In the first part of the course, I will give an overview of Donaldson-Thomas theory for Calabi-Yau threefold geometries, and its cohomological refinement. In the second part, I will explain a conjectural ansatz (from joint work with Y. Toda) for defining Gopakumar-Vafa invariants via moduli of one-dimensional sheaves, emphasizing some examples where we can understand how they relate to curve-counting via stable pairs. If time permits, I will discuss some recent work on χ-independence phenomena in this setting (joint with J. Shen)