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

Jie Ren
(MPIM, Bonn)
Seminar
Onsdag, 4 april, 2018, at 16:15-17:15, in Aud. D3 (1531-215)
Abstrakt:
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
Kontaktperson: Cristiano Spotti, Martin de Borbon & Roberta Iseppi