Cohomological Donaldson-Thomas theory for 2-Calabi--Yau categories
Speaker: Tasuki Kinjo (Kavli IPMU)

Time: 2pm in Vietnam, 23/12/2022

Zoom link:

https://us02web.zoom.us/j/85114528712?pwd=Z0tyalN1MVQ0MGxKc3M0bG9sUFBxZz09

Meeting ID: 851 1452 8712

Passcode: 608225

Abstract: Cohomological Donaldson-Thomas (CoDT) invariants were introduced by Kontsevich-Soibelman and Brav-Bussi-Dupont-Joyce-Szendroi as categorifications of the Donaldson-Thomas invariants counting objects in 3-Calabi-Yau categories. In this talk, I will explain applications of the CoDT theory to the cohomological study of the moduli of objects in 2-Calabi-Yau categories. Among other things, I will construct a coproduct on the Borel-Moore homology of the moduli stack of objects in these categories and establish a PBW-type statement for the Kapranov-Vasserot cohomological Hall algebras. This talk is based on a joint work in progress with Ben Davison.

Website of the AGEA seminar:

https://sites.google.com/ncts.ntu.edu.tw/agea-seminar

Mirror site

http://www.math.ntu.edu.tw/~jkchen/agea-seminar.html

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