Those accepted into this program will receive support (full room and board at Snowbird and up to US$612 in air transportation) for the summer conference, and will be partially supported for their participation in the Joint Mathematics Meetings which follow in January 2012. The summer conferences of the MRC are held in the breathtaking mountain setting of the Snowbird Resort, Utah, where participants can enjoy the natural beauty and a collegial atmosphere. This program is supported by a grant from the National Science Foundation.
June 12 – 18, 2011 - The Geometry of Real Projective Structures
Virginie Charette, Université de Sherbrooke
Daryl Cooper, University of California, Santa Barbara
William Goldman, University of Maryland
Anna Wienhard, Princeton University
A real-projective structure on a manifold is defined by a system of local coordinates modeled on projective space. Such structures abound in dimensions 2 and 3, and include many familiar geometries, such as spherical geometry, Euclidean geometry, and hyperbolic geometry. The space of such geometries on a fixed topology carries many interesting geometries of its own. This vastly extends the Fricke-Teichmueller space of geometric structures modeled on hyperbolic geometry.
The study of such structures intimately relates to many other fields of mathematics: Lie groups and their discrete subgroups, dynamical systems, geometric PDEs, low-dimensional topology, algebraic geometry, number theory and mathematical physics. The concrete nature of the subject invites computer experimentation. Through the experimental component of the MRC activity, participants will develop and use software to visualize and calculate these geometric structures.
June 19 – 25, 2011 - Computational and Applied Topology
Gunnar Carlsson, Stanford University
Robert Ghrist, University of Pennsylvania
Benjamin Mann, Ayasdi, Inc.
One of the exciting recent developments in applied mathematics has been the explosion of insights, techniques, and tools from algebraic topology that have been used to great advantage in examining computation problems in data analysis, distributed networks, and dynamical systems. This workshop will introduce participants to the theory, applications, and main advances in this emerging field, which unites theory and applications in Topology with some of Poincare's original motivation.
June 26 – July 2, 2011 - The Pretentious View of Analytic Number Theory
Andrew Granville, Université de Montréal
Dimitris Koukoulopoulos, Université de Montréal
Youness Lamzouri, University of Illinois at Urbana-Champaign
Kannan Soundararajan, Stanford University
Frank Thorne, Stanford University
Since Riemann's 1859 monograph, the study of the distribution of prime numbers has been dominated by the study of the zeros of the Riemann zeta function and Dirichlet L-functions. Although there have been ad hoc elementary proofs of some of the key results, there has been no coherent alternative approach to that of Riemann. This research community will study a new and different way to develop analytic number theory, without zeros, stemming from the concept of "pretentiousness".
These forms will be available on November 15, 2010. Deadline for applications will be March 8, 2011.
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Situated in a beautiful, breathtaking mountain setting, Snowbird Resort provides an extraordinary environment for the MRC. The atmosphere is comparable to the collegial gatherings at Oberwolfach and other conferences that combine peaceful natural ambience with stimulating meetings. MRC participants have access to a range of activities such as a tram ride to the top of the mountain, guided hikes, swimming, mountain bike tours, rock climbing, plus heated outdoor pools. More than a dozen walking and hiking trails head deep in the surrounding mountains. Participants also enjoy the simpler pleasures of convening on the patios at the resort to read, work, and socialize. In the evenings colleagues enjoy informal gatherings to network and continue discussion of the day's sessions over refreshments. Within a half hour of the University of Utah, Snowbird is easily accessible from the Salt Lake City International Airport. For more information about Snowbird Resort, see www.snowbird.com. InformationFor further information, please contact Ellen J. Maycock at firstname.lastname@example.org.