# Mathematical Sciences Research Institute

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# Workshop

Infinite-Dimensional Geometry December 07, 2013 - December 08, 2013
To apply for Funding you must register by: November 04, 2013 about 5 years ago
Parent Program: Optimal Transport: Geometry and Dynamics UC Berkeley
Organizers Lawrence Evans (University of California, Berkeley), Dmitry Jakobson (McGill University), Robert McCann (University of Toronto), LEAD Stephen Preston (University of Colorado)
Speaker(s)

## Show List of Speakers

Description
The purpose of this workshop is to gather researchers working in various areas of geometry in infinite dimensions in order to facilitate collaborations and sharing of ideas. Topics represented include optimal transport and geometries on densities, metrics on shape spaces, Euler-Arnold equations on diffeomorphism groups, the universal Teichmuller space, geometry of random Riemann surfaces, metrics on spaces of metrics, and related areas. The workshop will be held on the campus of University of California Berkeley (60 Evans Hall) the weekend of December 7-8, 2013. It is funded by an NSF grant.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification
Funding & Logistics

## Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

## Show Lodging

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability. MSRI has preferred rates of$149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri. MSRI has preferred rates of$110 - \$140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
Dec 07, 2013
Saturday
 10:00 AM - 10:35 AM The Intrinsic Flat Metric between Oriented Rectifiable Metric Spaces and Applications" Christina Sormani (CUNY, Graduate Center) 10:40 AM - 11:15 AM A model for random Riemannian metrics Lior Silberman (University of British Columbia) 11:20 AM - 11:40 AM Break 11:40 AM - 12:15 PM Convenient Calculus and Differential Geometry in Infinite dimensions, with Applications to Diffeomorphism Groups and Shape Spaces Peter Michor (Universität Wien) 12:20 PM - 02:20 PM Lunch 02:20 PM - 02:55 PM Random hyperbolic surfaces of large genus. Maryam Mirzakhani (Stanford University) 03:00 PM - 03:35 PM The Cauchy problem for μHS equation: Weak solutions and integrability Feride Tiglay (Ohio State University) 03:40 PM - 04:00 PM Break 04:00 PM - 04:35 PM Diffeomorphism groups, infinite dimensional geometry and K-theory Guoliang YU (Texas A & M University) 04:40 PM - 05:15 PM Riemannian constructions in ideal hydrodynamics Gerard Misiolek (University of Notre Dame) 05:20 PM - 07:00 PM Reception and Poster Sesssion
Dec 08, 2013
Sunday
 09:00 AM - 09:35 AM On certain special solutions of incompressible Euler's equation. Vladimir Sverak (University of Minnesota Twin Cities) 09:40 AM - 10:15 AM Optimal Transport with Capacity Constraints Jonathan Korman (University of Toronto) 10:20 AM - 10:40 AM Break 10:40 AM - 11:15 AM Gaussian free field, random measure and KPZ on R^4 Linan Chen (McGill University) 11:20 AM - 11:55 AM Metric measure spaces with Riemannian Ricci curvature bounded from below Giuseppe Savare (Università di Pavia) 12:00 PM - 02:00 PM Lunch 02:00 PM - 02:35 PM Some analytic problems in two-dimensional conformal field theory Eric Schippers (University of Manitoba) 02:40 PM - 03:15 PM Spectral geometry on the Riemann moduli space. Rafe Mazzeo (Stanford University)