Homotopy path algebras and resolutions

Davide Favero (University of Minnesota)

29-May-2024, 12:00-13:00 (19 months ago)

Abstract: A homotopy path algebra is like a directed version of the group ring on a fundamental group. One can imagine a directed graph (quiver) embedded in a topological space and consider the path algebra up to homotopy. Alternatively, one can think of homotopy classes of directed paths in a stratified topological space. I will introduce homotopy path algebras and describe their connections to mirror symmetry and resolutions of coherent sheaves on toric varieties.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic


Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

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