On exact dg categories

Abstract: In this talk, we propose a framework of dg enhancements, which we call exact dg categories, for a certain class of extriangulated categories, which we call algebraic. The motivation comes from typical examples like Yilin Wu’s Higgs categories and Haibo Jin’s categories of dg Cohen-Macaulay modules. We will present several results concerning the dg nerve, the dg derived category, tensor products and functor dg categories with exact target. We will conclude by computing the lattice of all exact structures on dg categories satisfying certain strong finiteness conditions.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: Meeting Link

uni-koeln.zoom.us/j/91875528987?pwd=TjNZV1lNdVJNOWUrR2xNalRuQWk3dz09

Meeting ID: 918 7552 8987 Password: LAGOON2022

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Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)

Series comments: Description: Research webinar series

The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.

LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).

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