Institute of Mathematics Academia Sinica
Department of Mathematics National Taiwan University
Speaker: Keiji Oguiso (The University of Tokyo)
Title: Smooth projective surfaces with discrete and non-finitely generated automorphism group
Abstract:According to Professor Igor Dolgachev, it has been a long standing problem if there is a smooth projective surface such that the automorphism group is discrete and non-finitely generated and/or it has infinitely many non-isomorphic real forms.
In this talk, after reviewing some known results (for finite generation), I would like to show the following answers:
There is a smooth complex projective surface, birational to some K3 surface, such that the automorphism group is (discrete and) non-finitely generated and with infinitely many non-isomorphic real forms (joint work with Professor Dinh). We also would like to discuss positive characteristic case.
Date: Jan. 14 (Mon), 2018 Time: 14:00-15:00
Venue: Room 202, Astro-Math Building (NTU Campus) Refreshment: 13:30
Organizers: Yi-Chiuan Chen, Yi-Fan Yang