SPECIAL LECTURES AT BEN GURION UNIVERSITY (Corrected version of previous announcement) Noriko Sakurai Fellowship Inauguration Ceremony DATE AND TIME: March 9 2011, 15:00-17:00 PLACE: BGU CAMPUS, CS AUDITORIUM, ALON BUILDING FOR HI TECH (BUILDING 37) SPEAKERS: Pierre Cartier, IHES Vioreca Motreanu, First Noriko Sakurai Award recipient WEBPAGE: Please see: <http://www.math.bgu.ac.il/events/misc/NorikoSakurai.pdf> SCHEDULE: 15:00 Noriko Sakurai Prize Inauguration Ceremony 15:15 Pierre Cartier Title: "From thermodynamics to number theory". Abstract: This report is based on some recent work by Alain Connes and Caterina Consani. Many years ago, Bernard Julia made the deep remark that the Riemann zeta function can be viewed as the partition function for an assembly of bosons whose energy spectrum consists of the logarithms of prime numbers. Later, this was reinterpreted by Connes and Bost as coming from a natural representation of some discrete group, in analogy with automorphic functions and Hecke operators. This gives rise to an operator algebra which is a factor of type III_1. These authors determined the so-called KMS states of equilibrium quantum statistical mechanics, and discovered a phase transition related to the pole of the zeta function. Connes and Consani noticed recently that the Bost-Connes algebra is another incarnation of an algebra introduced in the '50's by Dieudonne and myself in connection with Witt vectors. This suggests a number- theoretic connection. Indeed, the Bost-Connes system has a p-adic analogue, throwing a new light on the Iwasawa theory of cyclotomic numbers and p-adic zeta functions. 16:15 Vioreca Motreanu, BGU Title: "Embedding properties of double weighted Sobolev spaces and applications to Dirichlet problems". Abstract: We consider two Dirichlet boundary value problems involving the weighted p-Laplacian and appropriately we introduce a class of double weighted Sobolev spaces. We present sufficient conditions under which the double weighted Sobolev spaces are compactly embedded into a Lebesgue space. Under such a compact embedding property, we then provide existence results for the two problems. --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Barak Weiss <barakw@cs.bgu.ac.il>