The weak categorical quiver minor theorem and its applications

Abstract: The aim of the talk is to describe the weak categorical quiver minor theorem. We will introduce the framework of quasi-Groebner categories, as developed by Sam and Snowden, and use it to study structural properties (e.g. bound on ranks and order of torsion) of graph homologies, in the spirit of Miyata, Proudfoot and Ramos. More specifically, we will focus on magnitude (co)homology, as introduced by Hepworth and Willerton, and we will show that magnitude cohomology yields finitely generated functors on the category of directed graphs with bounded genus. Then, we will discuss some main applications. This is joint work with Carlo Collari and Eric Ramos.

commutative algebraalgebraic geometryalgebraic topologycategory theorygeometric topologyK-theory and homology

Audience: researchers in the topic

Comments: Join Zoom Meeting unipv-it.zoom.us/j/94344875868

Meeting ID: 943 4487 5868

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Transalpine Topology Tetrahedron (TTT) - Pavia Vertex

Series comments: The Transalpine Topology Tetrahedron (TTT) is a topology seminar partially supported by the London Mathematical Society (LMS) and INdAM. It has UK nodes at Liverpool, Sheffield and Warwick and an international node at Pavia. For many years TTT stood for Transpennine Topology Triangle.

Website: sarah-whitehouse.sites.sheffield.ac.uk/transalpine-topology-tetrahedron

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