The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on September 29, 2015 at 14:00 in Room 478 of IMI.

A talk on:

On Quaternionic Kähler / Hyper-Kähler Correspondence

will be delivered by Prof. Gueo Grantcharov, Florida International University, USA.

Everybody is invited.

Abstract. The QK/HK correspondence is a differential-geometric representation of some ideas in string theory related to moduli spaces of solutions of self-duality equations. To a hyper-kähler manifold with an isometry preserving one of the structures and rotating the others corresponds a quaternionic kähler one. Apart from the theoretical physics it has deep connections to algebraic geometry and is under active development. In the talk a basic introduction for people with different backgrounds and some directions of future research will be given.