На 2 юли 2021 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”.
Доклад на тема
Noncommutative Poisson structures, Hochschild type complexes and Gröbner bases theory
ще изнесе Natalia Iyudu (Lancaster University, UK).
Абстракт: 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).
Семинарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка:
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
От секция „Алгебра и логика” на ИМИ – БАН
http://www.math.bas.bg/
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