New algebraic structures from Calabi-Yau three
演讲者
时间
2026年01月22日 15:00 至 16:00
地点
A6-101
线上
Zoom 638 227 8222
(BIMSA)
摘要
Cohomological Hall algebras allow us to understand coherent sheaves on a CY3 - and similar categories - by turning them into objects in representation theory.
I will explain this story, first due to Kontsevich and Soibelman, as well as the physicists' version of it in terms of categories of line operators for QFTs.
The main part of this talk describes recent work (with S. Jindal, S. Kaubrys, also with P. Descombes) in constructing these physics-predicted "quantum group"-like structures on cohomological Hall algebras and their category of modules. I will finish by explaining why this is useful in representation theory.
I will try to make this talk accessible to geometers not familiar with representation theory.
I will explain this story, first due to Kontsevich and Soibelman, as well as the physicists' version of it in terms of categories of line operators for QFTs.
The main part of this talk describes recent work (with S. Jindal, S. Kaubrys, also with P. Descombes) in constructing these physics-predicted "quantum group"-like structures on cohomological Hall algebras and their category of modules. I will finish by explaining why this is useful in representation theory.
I will try to make this talk accessible to geometers not familiar with representation theory.
演讲者介绍
阿列克谢·拉滕采夫，是一位专注于代数几何、几何表示论和枚举不变量的青年数学家。他于剑桥大学三一学院获得数学学士（一等荣誉）和硕士（优秀）学位，师从伊恩·格罗诺夫斯基。随后在牛津大学基督堂学院获得数学博士学位。他拥有丰富的教学与学术组织经验，曾在牛津大学、南丹麦大学等机构讲授多门课程，并是多个研讨会和阅读小组（如牛津物理与几何研讨会、分解代数在线研讨会等）的创始人或组织者。