U. Haifa Topology & Geometry seminar: Sunday, Dec. 5, 2021. Speaker: Theo Johnson-Freyd (Dalhousie/Perimeter Institute). “Title:  Algebraically Closed Higher Categories”

Time: Sunday December 5th 17:00 (Israel Time)

Location: On Zoom

Recording:

https://us02web.zoom.us/rec/share/MjyzxaBsbY7S1RGjShKMSBcfKtgqm8STy9-_KzeHeMdz8bwJhZ-F1wJuG0QhDrUv.aa8mS84tuLDHuHHs

Slides:

http://categorified.net/Haifa.pdf

Speaker: Theo Johnson-Freyd (Dalhousie/Perimeter Institute)

Title: Algebraically Closed Higher Categories

Abstract.

Super Tannakian duality can be interpreted as saying that the symmetric monoidal category Vec is not algebraically closed, but rather its algebraic closure is the category sVec of super vector spaces. In this talk, I will explain how to construct the algebraic closure of the symmetric monoidal n-category nVec. The Galois group is almost, but not quite, the stable orthogonal group. The cokernel of the J homomorphism appears in an interesting way. This is based on joint work in progress with David Reutter.

ZOOM COORDINATES:

https://us02web.zoom.us/j/84987591026?pwd=aTJWcFlOSldKck5leGt2d25CYkRqZz09

Meeting ID: 849 8759 1026

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