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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。