北京雁栖湖应用数学研究院

马修·伯菲特 , 李京艳 , 吴杰 , 杨南君 , 周嘉伟

谢尔盖·伊万诺夫

2024年12月26日 14:00 至 16:00

A3-2a-302

Zoom 482 240 1589 (BIMSA)

Abstract: We consider several types of non-existence theorems for functors. For example, there are no nontrivial functors from the category of groups (or the category of pointed sets, or vector spaces) to any small category. Another type of questions that we consider are questions about nonexistence of subfunctors and quotients of the identity functor on the category of groups (or abelian groups). For example, there is no a natural non-trivial way to define an abelian subgroup of a group, or a perfect quotient group of a group. As an auxiliary result we prove that, for any non-trivial subfunctor Fof the identity functor on the category of groups, any group can be embedded into a simple group that lies in the essential image of F.

Sergei Ivanov教授是来自俄罗斯圣彼得堡的数学家。 他的研究兴趣包括同调代数、代数拓扑、群论、单纯同伦论和单纯群。