Place:

This talk will take place on Zoom:

https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09

Meeting ID: 919 7518 3920

Passcode: 102707

Abstract:

I will first give an introduction to Nichols algebras, also in the non-diagonal setting. I will then explain my folding construction, which turns a Nichols algebra with a diagram automorphism into a new Nichols algebra, and by which I was able to construct new families of Nichols algebras over nonabelian groups. I also put this construction into a broader systematic context of category extension, and I explain recent joint work with Angiono and Sanmarco building on work by Heckenberger and Vendramin, in which we show that all Nichols algebras over nonabelian groups with rank larger than 3 arise in this way.