Mathematics researchers from US institutions will participate in a three-month program on Geometry and Quantization of Moduli Spaces to be held at the Centre de Recerca Matemà tica (CRM) in Barcelona, Spain in the period March 26 - June 22 2012. This research program focuses on the geometry of algebraic moduli spaces associated to compact Riemann surfaces. The scope is wide, ranging from questions on the topology of moduli spaces to problems on their quantization, including also problems on dynamics, quantum cohomology and other areas.
The central aims of the program on Geometry and Quantization of Moduli Spaces are to bring together experts in the different focus areas of the program, to advance these topics, and to introduce research students and post-doctoral fellows to the wealth of ideas and problems in them. The program includes an advanced course, two workshops, a final conference, as well as a regular seminar. The funds provided by this grant will allow selected participants to attend the special activities of the program or to spend an extended time in residence at the CRM. The funds will be used mostly for graduate students, postdocs, junior faculty, and other researchers with no current NSF support.
A website for the program can be found at www.crm.cat/RPGEOMETRY .
’’ at the Centre de Recerca Matematica (CRM) in Barcelona, Spain in the period March-June 2012, either by attending the special activities of the program or by spending an extended time in residence at the CRM. The CRM is an international research center allied with the Institute of Catalan Studies and the Generalitat de Catalunya (autonomous government of Catalonia) and is a members of CERCA, a research network of scientific institutes funded by the Generalitat de Catalunya. It is located on the campus of the Universitat Autònoma de Barcelona. The central aims of the CRM program were to bring together experts in different aspects of a currently very active area of research at the boundary between mathematics and physic, to advance these topics, and to introduce research students and postdocs to the wealth of ideas and problems in them. In addition to a regular seminar series, the program included the following major activities: 1. International School on Geometry and Physics, 26-30 March 2. Master Class on Topological Quantum Field Theories, 19, 20, 23 April, 3. Workshop on Topological Quantum Field Theories 24- 27 April, 4. Master Class on Representations of Surface Groups 9- 11 May, 5. Workshop on Representations of Surface Groups 14- 17 May The participants funded by this grant included six Ph.D. students, four postdoctoral fellows, and six senior researchers. At the beginning of the Advanced School informal notes prepared by the speakers were delivered to the participants. A web page for the school can be found at www.crm.cat/acmodulispaces/. A website for the entire program can be found at www.crm.cat/en/Activities/Pages/ActivityDescriptions/Research-Programme-on-Geometry-and-Quantization-of-Moduli-Spaces.aspx Funds from this grant were also used for a US researcher to attend a related follow-up activity at the Center for Quantum Geometry of Moduli Spaces in Aarhus, Denmark. The activity was a Master Class on Pressure and Weil-Petersson metrics taught by professors Martin Bridgeman (Boston University) and Dick Canary (U. Michigan).
