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FIELD
Math: HCMC
DATE
May 07 (Wed), 2025
TIME
15:00 ~ 16:00
PLACE
수림(204)
SPEAKER
Lee, Jaehyeok
HOST
Park, Hyeonjun
INSTITUTE
Seoul National University.
TITLE
[HG_AG] Prekosmic Grothendieck/Galois categories
ABSTRACT
In this talk, I will present a duality between mathematical objects equipped with group structures and the categories of their internal representations. We establish the duality by providing a complete abstract characterization of such categories. The primary motivation is to simultaneously generalize and unify the two categorical concepts, Galois categories and Tannakian categories. I will explain the motivation and a concrete example in detail. Then I will explain that the duality exists in a general context, namely over a prekosmos. This is a joint work with Jae-Suk Park.
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