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BIMSA Topology Seminar
BIMSA Topology Seminar
Recent updates on functorial and computational aspects of path homology
Recent updates on functorial and computational aspects of path homology
演讲者
Fedor Pavutnitskiy
时间
2023年10月30日 14:30 至 16:00
地点
A3-4-101
线上
Zoom 928 682 9093
(BIMSA)
摘要
I will report a series of ideas and problems that we came up with while trying to understand the nature of the recently developed homology theory for directed graphs, also called GLMY-homology or path homology. In particular , we will cover three topics:
1. a class of quadratic DG-algebras with commutator differential, realizing path cohomology,
2. Similarities between intersection homology and path homology.
3. Path homology with coefficients in a functor.
If you are interested in the algebraic, categorical or computational sides of GLMY-theory, please join us, so we can work and discuss together.
演讲者介绍
Fedor Pavutnitskiy主要研究单纯同伦论及其在path homology中的应用，以及与群和李代数相关的同调代数，同时对机器学习在现代数学中的应用感兴趣。