Quantization of Singular Spaces

University Of Colorado At Boulder, Boulder CO

Investigators

Abstract

Abstract Award: DMS-1066222 Principal Investigator: Markus J. Pflaum The award serves to support participants from the U.S. at the conference and school "Quantization of Singular Spaces" in December 2010 at the Center for Quantum Geometry of Moduli Spaces in Aarhus, Denmark. The supported conference will be aimed at recent approaches to quantization of singular spaces. The goal of the conference is to encourage cross-fertilization among various approaches, to bring seemingly independent lines of research together, and to consider where the field can go in the future. It is expected to give a strong impetus to innovative work in the field. In addition, the workshop is aimed at training young researchers in the field by internationally renowned experts. A mathematically rigorous theory of singular quantization would have considerable repercussions. For example, in mathematical physics a better understanding of the nonperturbative structure of gauge theories would come within reach, which would be essential preparation for the construction of quantized Yang--Mills theories and grand unified theories. In mathematics, new index theorems for singular spaces would emerge, among other. Support for the conference will ensure that experts from the U.S. working in the field of quantization theory will be able to significantly contribute to the conference and will profit from the exchange of cutting-edge research. Moreover, support for the school and conference will enable U.S.-based young researchers to participate in the special training which will be offered through three minicourses on foundational material and recent achievements in the field during a school preceeding the conference. The conference and school in Denmark will also strengthen US-Scandinavian research connections and will lead to new scientific collaborations. Conference webpage: http://qgm.au.dk/events/dec-2010-conference-quantization-of-singular-spaces/