5–16 juil. 2021
IHES
Fuseau horaire Europe/Paris

Stable Pairs and Gopakumar-Vafa Invariants (4/5)

15 juil. 2021, 17:30
1h
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Orateur

Prof. Davesh MAULIK (Massachusetts Institute of Technology)

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 $\chi$-independence phenomena in this setting (joint with J. Shen).

Documents de présentation