The next meeting of the Joint Seminar of Analysis, Geometry and Topology Department will be held on February 28, 2017 at 14:00 in Room 478 of IMI.

A talk on:

The qc Yamabe problem on non-spherical quaternionic contact manifolds

will be delivered by Alexander Petkov.

Everybody is invited.

Abstract. The aim of this talk is to demonstrate that the qc Yamabe problem has a solution on any compact qc manifold which is non-locally qc equivalent to the standard 3-Sasakian sphere. Precisely, we establish that the qc Yamabe constant of any such manifold is strictly less than the corresponding constant of the 3-Sasakian sphere, which allows us to give an affirmative answer to the qc Yamabe conjecture.