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THEMATIC PROGRAMS |
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| February 9, 2010 |
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Thematic Program on Asymptotic Geometric Analysis
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| Registration open in early 2010 |
Postdoctoral Fellowships |
| Application for participation
support, open in early 2010 (Canadian and International participants) |
Hotels and Housing |
| Visitor Information |
Mailing List : To receive updates on the program please subscribe to our mailing list at www.fields.utoronto.ca/maillist
Outline of Scientific Activities
Asymptotic Geometric Analysis is concerned with geometric and linear properties of finite dimensional objects, normed spaces and convex bodies, especially with asymptotics of their various quantitative parameters as the dimension tends to infinity. Deep geometric, probabilistic and combinatorial methods developed here are used outside the field in many areas, related to the subject of the program.
One of the main tools of the theory are concept of concentration phenomenon and large deviation inequalities. The concentration of measure is, in fact, an isomorphic form of isoperimetric problems. It was first developed inside the asymptotic geometric analysis and then became pertinent to other branches of mathematics as an efficient tool and useful concept. Some new techniques of the theory are connected with measure transportation methods and with related PDE's. The concentration phenomenon is well-known to be closely linked with combinatorics (Ramsey theory), and such links have been recently better understood in the setting of infinite-dimensional transformation groups.
The achievements of Asymptotic Geometric Analysis demonstrate new and unexpected phenomena characteristic for high dimensions. These phenomena appear in a number of domains of mathematics and adjacent domains of science dealing with functions of infinitely growing numbers of variables.
Main Directions of Research:
* Asymptotic theory of Convexity and Normed spaces
* Concentration of measure and isoperimetric inequalities, optimal transportation approach
* Applications of the concept of concentration
* Connections with transformation groups and Ramsey theory
* Geometrization of Probability
* Random matrices
* Connection with Asymptotic Combinatorics and Complexity Theory
Distinguished and Coxeter Lecturers
Week of September 13- Distinguished Lecture Series:
Avi Wigderson (Institute for Advanced Study)Coxeter Lecture Series:
Shiri Artstein-Avidan (Tel-Aviv University)
Workshops and Conferences
September 13-17, 2010
Conference on Asymptotic Geometric Analysis and Convexity
Organizers: Monika Ludwig, Vitali Milman and Nicole Tomczak-JaegermannOctober 12-16, 2010
Workshop on Concentration Phenomenon, Transformation Groups and Ramsey Theory
Organizers: Eli Glasner, V. Pestov and S. TodorcevicNovember 1-5, 2010 (tentative dates)
Workshop on Geometric Probability and Optimal Transportation
Organizers: B. Klartag and R. McCann
Seminars
A permanent weekly seminar at Fields will be run for the duration of the program, as well as a special weekly young researcher seminar.
Postdoctoral Fellows and Program Visitors
We will support a number of Fields postdocs for the duration of
the program, as well as offer support towards a visitors' program,
including visiting Ph.D. students.
All scientific events are open to the mathematical sciences community.
Visitors who are interested in office space or funding are
requested to apply by filling out the application form (open
in early 2010). Additional support is available (pending NSF funding)
to support junior US visitors to this program. Fields scientific
programs are devoted to research in the mathematical sciences, and
enhanced graduate and post-doctoral training opportunities. Part
of the mandate of the Institute is to broaden and enlarge the community,
and to encourage the participation of women and members of visible
minority groups in our scientific programs.
Graduate courses
to be announced
For additional information contact thematic(at)fields.utoronto.ca