SMS scnews item created by Kevin Coulembier at Mon 27 Jun 2016 0928
Type: Seminar
Modified: Mon 27 Jun 2016 0941
Distribution: World
Expiry: 8 Aug 2016
Calendar1: 1 Jul 2016 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Separable and Galois extensions in symmetric monoidal categories
Auth: kevinc@pkevinc.pc (assumed)

# Algebra Seminar: Pauwels -- Separable and Galois extensions in symmetric monoidal categories

Bregje Pauwels (Australian National University)

Friday 1 July, 12-1pm, Place: Carslaw 375

Separable and Galois extensions in symmetric monoidal categories.

In this talk, I will consider separable (commutative) ring objects in a symmetric
monoidal category and show how they pop up in various settings.
In modular representation theory, for instance, restriction to a subgroup can
be thought of as extension along a separable ring object in the (stable or derived)
module category. In algebraic geometry, they appear as finite etale extensions of
affine schemes. But separable ring objects are nice for various reasons, beyond
the analogy with etale topology; they allow for a notion of degree, have splitting
ring extensions, and we can define (quasi)-Galois extensions. I will present a
version of quasi-Galois-descent and give conditions for the existence of a
quasi-Galois closure.


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