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Speaker:

Fernando Muro
Affiliation:

Universidad de Sevilla
Date:

Thu, 2019-05-09 16:30 - 17:30
Location:

MPIM Lecture Hall The existence and uniqueness of enhancements for triangulated categories is an old problem in algebra

and topology, e.g. the stable homotopy category has a unique enhancement up to Quillen equivalence

(Schwede), the derived category of a Grothendieck category too (Canonaco-Stellari), etc. These examples

have a common feature: they are large categories. Triangulated categories of finite type over a perfect

field arise commonly in representation theory. We will show how to use the homotopy theory of operads

in order to prove that these triangulated categories have unique enhancements. This applies to Amiot's

non-standard 1-Calabi-Yau categories in positive characteristic.

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