Geometry of hyperkahler 4 manifolds
 Date
 October 22 (Fri) at 13:00  15:00, 2021 (JST)
 Speaker

 Song Sun (Associate Professor, Department of Mathematics, University of California, Berkeley, USA)
 Venue
 via Zoom
 Language
 English
An n dimensional Riemannian metric g defines a holonomy group, which is a subgroup of SO(n) given by parallel transport along all contractible loops (with respect to the LeviCivita connection). According to the Berger classification we know that if a complete Riemannian metric is not locally symmetric and not locally reducible then its holonomy group is either the entire SO(n) (generic case), or U(n) (Kahler), or is special and belongs to a small list. Riemannian metrics with special holonomy are very interesting geometric objects to study, with many connections to analysis and physics. The simplest model is given by a 4 dimensional hyperkahler metric. We will explain the general background and discuss recent progress on understanding the geometry of hyperkahler 4 manifolds.
*Please contact Keita Mikami's mail address to get access to the Zoom meeting room.