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)

Organizer I. Ojima

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.

Organizer I. Ojima

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