Institut für Mathematik


Modul:   MAT770  Oberseminar: Algebraische Geometrie

Categorified Donaldson--Thomas invariants of Calabi--Yau 3-folds

Vortrag von Dr. Benjamin Hennion

Sprecher eingeladen von: Prof. Dr. Joseph Ayoub

Datum: 06.03.23  Zeit: 13.15 - 14.45  Raum: Y27H25

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 glueing more involved singularity invariants, such as matrix factorizations. This is joint work with M. Robalo and J. Holstein.