Aarhus Universitets segl

The cohomological Hall algebras and motivic Donaldson-Thomas invariants of 2 Calabi-Yau categories

Jie Ren (MPIM, Bonn)
Onsdag 4. april 2018 16:15–17:15 Aud. D3 (1531-215)
The cohomological Hall algebra (COHA) and motivic Hall algebras defined by Kontsevich and Soibelman are approaches to motivic Donaldson-Thomas invariants. I will talk about the cohomological Hall algebras of 2 Calabi-Yau categories via the dimensional reduction from 3 Calabi-Yau categories. More precisely, dimensional reduction from quiver with potential to preprojective algebras. I will discuss the secicanonical basses of a subalgebra of the COHA, and motivic Donaldson-Thomas series/invariants of a 2 Calabi-Yau category. This is a joint work with Yan Soibelman.
Organiseret af: QGM
Kontakt: Cristiano Spotti, Martin de Borbon & Roberta Iseppi Revideret: 03.04.2018