Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants

Collection Davesh Maulik - Stable Pairs and Gopakumar-Vafa Invariants

Organizer(s) Organising Committee: Andrei Negut, Francesco Sala and Olivier Schiffmann; Scientific Committee: Mina Aganagic, Hiraku Nakajima, Nikita Nekrasov, and Andrei Okounkov
Date(s) 05/07/2021 - 16/07/2021
linked URL https://indico.math.cnrs.fr/event/5382/
00:00:00 / 00:00:00
3 5

Stable Pairs and Gopakumar-Vafa Invariants 3/5

By Davesh Maulik

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).

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