Quantization of Singular Spaces

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AbstractAward: DMS-1066222 Principal Investigator: Markus J. PflaumThe award serves to support participants from the U.S. at theconference and school "Quantization of Singular Spaces" inDecember 2010 at the Center for Quantum Geometry of Moduli Spacesin Aarhus, Denmark.The supported conference will be aimed at recent approaches toquantization of singular spaces. The goal of the conference is toencourage cross-fertilization among various approaches, to bringseemingly independent lines of research together, and to considerwhere the field can go in the future. It is expected to give astrong impetus to innovative work in the field. In addition, theworkshop is aimed at training young researchers in the field byinternationally renowned experts. A mathematically rigoroustheory of singular quantization would have considerablerepercussions. For example, in mathematical physics a betterunderstanding of the nonperturbative structure of gauge theorieswould come within reach, which would be essential preparation forthe construction of quantized Yang--Mills theories and grandunified theories. In mathematics, new index theorems forsingular spaces would emerge, among other.Support for the conference will ensure that experts from theU.S. working in the field of quantization theory will be able tosignificantly contribute to the conference and will profit fromthe exchange of cutting-edge research. Moreover, support for theschool and conference will enable U.S.-based young researchers toparticipate in the special training which will be offered throughthree minicourses on foundational material and recentachievements in the field during a school preceeding theconference. The conference and school in Denmark will alsostrengthen US-Scandinavian research connections and will lead tonew scientific collaborations.Conference webpage:http://qgm.au.dk/events/dec-2010-conference-quantization-of-singular-spaces/