Abstract

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.

Speaker Intro

I'm working in simplicial homotopy theory and its applications in path homology and homological algebra related to groups and Lie algebras. I'm also interested in applications of deep learning in contemporary mathematics.