Partial Frobeniuses via black magic

Speaker:

Dennis Gaitsgory

Zugehörigkeit:

MPIM

Datum:

Die, 01/04/2025 - 16:00 - 17:30

Location:

MPIM Lecture Hall [2]

Parent event:

Geometric Langlands seminar [3]

An essential piece of structure on cohomologies of shtukas is the action of partial Frobenius's (equivarince with respect to geometric Frobenius

endomorphisms along each copy of $X$ in $X^n$ ). We will recall the usual construction, and then explain that it follows more or less automatically

from the formalism of categorical trace taken in the category , DGCat_{alg-geom} introduced by Beilinson and Drinfeld.