## MathPhys Seminar

Title

**
Schrödinger's equation as the dynamical
equation for classical random field
**

Date

October 20 (Wed), 2010, 14:00--15:30

Room

Room 204, RIMS, Kyoto University

Speaker

Prof. A. Khrennikov

(International Center for Mathematical
Modeling in Physics, Engineering, Economics, and
Cognitive Science, Linnaeus University, Växjö-Kalmar,
Sweden)

Title

**
The spectral presheaf as a noncommutative spectrum
**

Date

September 3 (Fri), 2010, 14:00--15:30

Room

Room 006, RIMS, Kyoto University

Speaker

Dr. Andreas Doering

Abstract

The spectral presheaf, introduced by Chris Isham and Jeremy Butterfield, is a central object in the so-called topos approach to quantum theory. Physically, it serves as an analogue of the state space of a classical system. Mathematically, it is a locale (in a topos of presheaves or sheaves) associated with a given C*- or von Neumann algebra that has many properties of a spectrum of the algebra. We will show some first steps towards a generalisation of Gel'fand duality to arbitrary noncommutative C*- and von Neumann algebras, and a novel representation of states of a von Neumann algebra as probability measures on the spectral presheaf.