BEN GURION UNIVERSITY OF THE NEGEV DEPARTMENT OF MATHEMATICS ================================== Operator and System Theory Seminar ================================== SPEAKER: Liran Shaul, BGU TITLE: State feedback for overdetermined 2D systems: Pole placement for bundle maps over an algebraic curve DATE: Monday, January 23, 2012 PLACE: Room -101, Mathematics Building, BGU TIME: 14:10 ABSTRACT: We discuss the pole placement problem for overdetermined multidimensional systems. We study such systems by a related notion called a Livsic-Kravitsky commutative operator vessel. Such a vessel naturally give rise to a compact Riemann surface $X$, two holomorphic vector bundles $E$ and $F$ on $X$, and a meromorphic bundle map $T:E\to F$, the transfer function of the system. We shall discuss state feedback for these kind of systems, and show how the Picard group of $X$ provides an obstruction for shifting the poles of $T$ using state feedback. We end the talk with possible future applications of the theory of vessels to the (multi-valued) Nevanlinna-Pick interpolation problem on multiply connected domains. Based on a joint work with Victor Vinnikov. 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>