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Algebraic topology of Shuffle algebras and Nichols algebras

组织者

安德烈·利亚希克 , 尼古拉·莱舍提金 , 伊万·谢钦 , 安德烈·茨加诺夫

演讲者

Ilia Danilin

时间

2026年01月13日 16:00 至 17:00

地点

A6-101

线上

Zoom 873 9209 0711 (BIMSA)

摘要

I will discuss the ongoing work on the classification of so-called Nichols algebras of diagonal type and explain how they are connected to quantum groups. This problem is naturally dual to the description of relations in the generalized shuffle algebra, which can be reformulated in homological terms. I will state a theorem relating the shuffle algebra's homology to the homology of a local system on a configuration space. Finally, I will suggest a conjecture regarding the latter.