Abstract for the talk at 29.01.2007 (17:00 h)Oberseminar Statistical Mechanics
Volker Bach (Universität Mainz)
Classical Statistical Mechanics and Witten Laplacians
During the past decade, the analysis of correlations in (mathematical) classical statistical mechanics has drawn much on the spectral theory of a deformed Hodge Laplacian, which was introduced by Witten in 1983 in a differential geometrical context. The starting point of this analysis is a resolvent identity which is now often refered to as the "Helffer-Sjoestrand formula", bearing the name of the two analysts who established it about 1994-6. The lecture reviews this past and also current developments.