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.
 
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Technion Math Net-2 (TECHMATH2)
Editor: Michael Cwikel   <techm@math.technion.ac.il> 
Announcement from: Barak Weiss   <barakw@cs.bgu.ac.il>