Posted in

Speaker:

Mikhail Borovoi
Affiliation:

Tel Aviv University
Date:

Wed, 22/05/2024 - 14:30 - 15:30
Location:

MPIM Lecture Hall
Parent event:

Number theory lunch seminar Let $F$ be a number field (say, the field of rational numbers Q) or a p-adic

field (say, the field of p-adic numbers $Q_p$), or a global function field

(say, the field of rational functions of one variable over a finite field

$F_q$). Let $G$ be a connected reductive group over $F$ (say, $SO(n)$ ). One needs

the first Galois cohomology set $H^1(F,G)$ for classification problems in

algebraic geometry and linear algebra over $F$. In the talk, I will give

closed formulas for $H^1(F,G)$ when $F$ is as above, in terms of the algebraic

fundamental group $\pi_1(G)$ introduced by the speaker in an MPIM preprint of

1989. All terms will be defined and examples will be given.

The talk is based on a joint work with Tasho Kaletha arXiv:2303.04120.

© MPI f. Mathematik, Bonn | Impressum & Datenschutz |