BEN GURION UNIVERSITY OF THE NEGEV DEPARTMENT OF MATHEMATICS ================================== Operator and System Theory Seminar ================================== SPEAKER: Shibananda Biswas , BGU TITLE: Curvature inequality and infinitely divisible metrics DATE: Monday, December 12, 2011 PLACE: Room -101, Mathematics Building, BGU TIME: 14:10 ABSTRACT: The curvature $\mathcal K_T(w)$ of a contraction $T$ in the Cowen-Douglas class $B_1(\mathbb D)$ is bounded above by the curvature $\mathcal K_{S^*}(w)$ of the backward shift operator. However, in general, an operator satisfying the curvature inequality need not be contractive. We will discuss this issue in multivariate setup and isolate the special circumstances which force contractivity of the operator assuming it satisfies the curvature inequality. This is a joint work with Dinesh Keshari and Gadadhar Misra. For further announcements see <http://www.math.bgu.ac.il/~vinnikov/otseminar> For further information please contact: Daniel Alpay <dany@math.bgu.ac.il> , phone: 08-6461603 Victor Vinnikov <vinnikov@math.bgu.ac.il> , phone: 08-6461618 --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Victor Vinnikov <vinnikov@cs.bgu.ac.il>