Immanuel van Santen: The group of birational transformations detects rationality

V torek, 25. februarja ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predaval dr. Immanuel van Santen z Univerz v Baslu in Bernu, Svica.

Title: The group of birational transformations detects rationality.

Abstract: This is joint work with Andriy Regeta (University of Jena/Padova) and Christian Urech (ETH Zurich). We investigate whether the group of birational transformations, Bir(X), of an irreducible variety X detects rationality. Specifically, if Bir(X) is isomorphic to Bir(P^n), does it follow that X and P^n are birationally equivalent? For varieties X of dimension at most n, this question was affirmatively answered by Serge Cantat in 2014. In this talk, I will provide an overview of the techniques that ultimately lead to a positive resolution of this question in all dimensions and outline the main ideas of the proof. If time permits, I will also discuss our latest results concerning Borel subgroups in Bir(X), which lead to another group-theoretical characterization of rationality.

Predavanje bo potekalo hibridno, v predavalnici 3.05 na Jadranski 21 in preko aplikacije ZOOM:

https://uni-lj-si.zoom.us/j/99382527395

Meeting ID: 993 8252 7395

Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek