Hochschild cohomology for functors on linear symmetric monoidal categories

Abstract: Let X be an essentially small symmetric monoidal category enriched in R-Mod, with R a commutative ring with identity. Under these conditions, the category F, of R-linear functors from X to R-Mod, becomes an abelian symmetric monoidal category, also enriched in R-Mod. The fact that F is monoidal and abelian at the same time allows for a nice theory of modules over the monoids in F, in particular it allows for a nice and easy definition of an internal hom functor. In this talk, we will see how this internal hom is the key to define a Hochschild cohomology theory in F.

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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