An online session of the Algebra and Logic Seminar will be held on July 2, 2021 (Friday) at 1:00 p.m. (UTC +3).
A talk on
Noncommutative Poisson structures, Hochschild type complexes and Gröbner bases theory
will be delivered by Natalia Iyudu (Lancaster University, UK).
Abstract: I will discuss Calabi-Yau type conditions, such as pre-Calabi-Yau and exact Calabi-Yau. We show that pre-Calabi-Yau structures give rise to double Pois son brackets of Van den Bergh. The homological formulation of pre-Calabi-Yau structure can be dealt with using Gröbner bases theory to prove purity in case of free graph path algebras.
This technique is common for our study of such exact Calabi-Yau algebras as 3-Sklyanin. Here we are able, for example, to improve the statement in Artin-Schelter classical paper, based on arguments of topological nature, that there is a finite group action on Sklyanin algebras S_{p,q}, for which the orbits are exactly isomorphism classes. We can say that this group is SL_2(Z_3).
The seminar will be held via Zoom and everyone can join at:
https://us02web.zoom.us/j/
Topic: Онлайн семинар на секция “Алгебра и логика”
Time: July 02, 2021 13:00 PM Sofia
Meeting ID: 851 3737 5021
Passcode: 035647
Algebra and Logic Department, IMI-BAS
http://www.math.bas.bg/
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