NATO Advanced Study Institute
July 9-22, 2001 |

International Euler Mathematical Institute (EIMI)

European Mathematical Society (EMS)

**Short description:**
The summer school aims to observe the recent progress in the asymptotic
theory of Young tableaux and random matrices from the point of view of
combinatorics, representation theory and theory of integrable systems.
The systematic courses on the subjects and current investigations will be
presented.

- O.Bohigas (Paris, Univ. Paris-Sud)
- E.Brezin (Paris, ENS)
- P.Deift (US, Philadelphia)
- L.Faddeev (St.Petersburg)
- K.Johansson (Stockholm KTH)
- M.Kontsevich (IHES, Bures-sur-Yvette)
- V.Malyshev (INRIA, France)
- R.Stanley (USA),
- A.Vershik (St.Petersburg,
*Chairman*)

- K.Kokhas' (St.Petersburg)
- E.Novikova (St.Petersburg)
- N.Tsilevich (St.Petersburg)

- To make known the recent progress in asymptotic representation theory and related asymptotic combinatorics and its applications to mathematical and statistical physics.
- To make appropriate courses on these topics for graduate students and mathematicians who have no knowledge on the problems.
- To organize simultaneous seminars and the conference on the topic.
- To publish the proceedings of the Summer School.
- To intensify contacts between specialists and first of all between young mathematicians from Russia and from the West.

**Brezin E.**(ENS, France)*An introduction to matrix models***Deift P.**(Upenn, USA)*Riemann-Hilbert Problems***Kenyon R.**(University Paris-11, France)*Random maps from Z^2 to Z***Bozejko M.**(University of Wroclaw)*Positive definite functions on Coxeter groups and second quantization of Young-Baxter type***Kazakov V.**(ENS, France)*Matrix quantum mechanics and statistical physics on planar graphs***Nazarov M.**(University of York, UK)*On the Frobenius rank of a skew Young diagram***Okounkov A.**(UCB, USA)*Combinatorics and moduli spaces of curves***Vershik A.**(POMI, Russia)*Asymptotic combinatorics as a theory of representation***Borodin A.**(Upenn, USA)*Application of the Riemann-Hilbert problem in asymptotic representation theory***Malyshev V.**(INRIA, France)*Asymptotic number of maps on surfaces: combinatorial approach***Ol'shanski G.**(IPPI, Russia)*Introduction to asymptotic representation theory***Neretin Yu.**(Independent University, Russia)*Poisson processes and polymorphisms***Lascoux A.**(University Marne-la-Valiee, France)*The combinatorics of dimension of representations of the symmetric and linear group***Speicher R.**(University of Heidelberg, Germany)*Free probability and non-crossing partitions*

- Asymptotics of Young tableaux and random configurations;
- Theory of integrable operators and determinant processes

** Contact email**:
emschool@pdmi.ras.ru

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