|
Status |
Confirmed |
|
Seminar Series |
SEM-DARBOUX |
|
Subjects |
hep-th |
|
Date |
Thursday 16 March 2023 |
|
Time |
11:00 |
|
Institute |
LPTHE |
|
Seminar Room |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
|
Speaker's Last Name |
Robalo |
|
Speaker's First Name |
Marco |
|
Speaker's Email Address |
|
|
Speaker's Institution |
Institut des Mathématiques de Jussieu |
|
Title |
Categorification of Donaldson-Thomas invariants and matrix factorizations |
|
Abstract |
Donaldson-Thomas invariants are numerical invariants of Calabi-Yau manifolds. They
can be described in terms of the local Darboux models for the (-1)-symplectic
geometry of the moduli of coherent sheaves of the Calabi-Yau. Such local models
are given by derived critical loci of functions $f$ on smooth schemes $U$.
In this talk we will explain how to use the moduli space of such Darboux local
models to recover the gluing of the perverse sheaf of vanishing cycles $P_{U,f}$
of Brav-Bussi-Dupont-Joyce-Szendroi categorifying DT-invariants, as well as a new
approach to glue the locally defined categories of matrix factorizations
$MF(U,f)$. This is a joint work with B. Hennion and J. Holstein. |
|
arXiv Preprint Number |
|
|
Comments |
|
|
Attachments |
- Robalo_DarbouxSeminar16032023.pdf (694712 bytes)
|
