Room 515, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館515研討室+ Zoom)
Virtually Abelian Automorphism Groups of K3 Surfaces
Giacomo Mezzedimi (Universität Bonn)
Abstract
In the early 80s, Nikulin and Vinberg classified K3 surfaces with a finite automorphism group. In a series of works, joint with S. Brandhorst, we recently extended their classification, by completing the classification of K3 surfaces with virtually abelian automorphism group (i.e. containing an abelian subgroup of finite index). The main techniques we use lie in hyperbolic geometry and in lattice theory. After introducing the basics of hyperbolic geometry and the main ideas of our approach, I will present some explicit examples and some interesting consequences concerning the dynamics of automorphisms on K3 surfaces.
Organizer: Flora Poon (NCTS)
