Loading Events

« All Events

  • This event has passed.

Automorphisms of categories of schemes

January 27 at 13:3015:00 CET

Remy van Dobben de Bruyn (Universität Utrecht)

Abstract: Given two schemes S and S’, we show that any equivalence between Sch/S and Sch/S’ comes from a unique isomorphism between S and S’. In particular, the category of schemes does not have any nontrivial automorphisms. This eliminates all Noetherian and finite type hypotheses from a result of Mochizuki, and answers a series of questions of Brandenburg. The methods are analogous to those in anabelian geometry (but easier), and this talk also serves as an introduction to those ideas for non-experts.

 

Details

Date:
January 27
Time:
13:30 – 15:00 CET

Organizer

Christian Dahlhausen
Email:
cdahlhausen@mathi.uni-heidelberg.de

Venue

Heidelberg, Mathematikon, SR A and Livestream