Quiver representations over ${\mathbb F}_1$

Abstract: A quiver is a directed graph, and a representation of a quiver assigns a vector space to each vertex and a linear map to each arrow. Quiver representations over ${\mathbb F}_1$, "the field with one element", can be considered as a combinatorial model of quiver representations over a field, where vector spaces and linear maps are replaced by ${\mathbb F}_1$-vector spaces and ${\mathbb F}_1$-linear maps. I will introduce several aspects of quiver representations over ${\mathbb F}_1$, and its potential applications. This is joint work with Jaehoon Kim and Alex Sistko.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: https://uni-koeln.zoom.us/j/91875528987?pwd=US8wdjNrWjl5dXNQSVRzREhoRE1PUT09

Meeting ID: 918 7552 8987 Password: LAGOON

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

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