Gluing invariants of Donaldson--Thomas type

17 Sept 2024, 17:30
1h
SRS

SRS

Hotel Les Sources Chemin du Vernex 9 1865 Les Diablerets Switzerland

Speaker

Benjamin Hennion (Université de Paris-Saclay)

Description

Donaldson--Thomas invariants are numerical invariants associated to Calabi--Yau varieties. They can be obtained by glueing singularity invariants from local models of a suitable moduli space endowed with a (-1)-shifted symplectic structure.
By studying the moduli of such local models, we will explain how to recover Brav--Bussi--Dupont--Joyce--Szendroi's perverse sheaf categorifying the DT-invariants, as well as a strategy for gluing more evolved singularity invariants, such as matrix factorizations.
This is joint work with M. Robalo and J. Holstein.

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