Combinatorics Seminar-Twisting Preregular Forms by 2-Cocycles

Title: Twisting Preregular Forms by 2-Cocycles

Speaker: Charlotte Ure, UVA
Date and time: Friday, September 9, 4–5 pm
Place: Rome 204

Abstract: As a dual notion to Drinfeld twists, the cocycle twist of a Hopf algebra is obtained by deforming the algebra structure. Furthermore, if the Hopf algebra acts on an algebra, one may twist the algebra by the same cocycle. In this talk, I will explain how this procedure relates to the construction of superpotential algebras associated to preregular forms and their Manin’s universal quantum groups.

This is joint work with Hongdi Huang, Van C. Nguyen, Kent B. Vashaw, Padmini Veerapen, and Xingting Wang.