## A Rigorous Renormalization Group Study of a p-Adic Quantum Field Theory

ANALYSIS/MATHEMATICAL PHYSICS SEMINAR

Abdelmalek Abdesselam

University of Virginia

November 12, 2010

ANALYSIS/MATHEMATICAL PHYSICS SEMINAR

Otto van Koert

Seoul National University

January 21, 2011

GEOMETRY/DYNAMICAL SYSTEMS

In this talk we shall discuss the Cartan geometry of the rotating Kepler problem. The rotating Kepler problem appears as the limit of the restricted planar three-body body when one of the masses goes to zero. As such, this problem plays the role of a simple approximation. We shall discuss the Cartan curvature and some of its relations with indices in the three-body problem. This is joint work with Kai Cieliebak and Urs Frauenfelder.

Urs Frauenfelder

Seoul National University

January 19, 2011

GEOMETRY/DYNAMICAL SYSTEMS

The restricted 3-body problem has an intriguing dynamics. A deep observation of Jacobi is that in rotating coordinates the problem admits an integral. In joint work with P. Albers, G. Paternain and O. van Koert, we proved that the corresponding energy hypersurfaces are contact for energies below and slightly above the first critical value.

Edward Belbruno

NASA/AISR & IOD, Inc.

January 19, 2011

GEOMETRY/DYNAMICAL SYSTEMS

Peter Albers

Purdue University

January 26, 2011

GEOMETRY/DYNAMICAL SYSTEMS

Periodic bounce orbits are generalizations of billiard trajectories in the presence of a potential. Using an approximation technique by Benci-Giannoni we prove existence of periodic bounce orbits of prescribed energy. At the end of the talk I will sketch very recent work in which we allow much more general Lagrangian systems including magnetic and Finsler billiards.

This is joint work with Marco Mazzucchelli.

Srikanth Patala

Masachusetts Institute of Technology

February 1, 2011

GEOMETRY AND CELL COMPLEXES

Pierre Schapira

University of Paris 6, France

February 1, 2011

SPECIAL LECTURE IN GEOMETRY/TOPOLOGY

Igor Wigman

KTH, Stockholm

January 20, 2011

ANALYSIS AND MATHEMATICAL PHYSICS SEMINAR

Using the spectral multiplicities of the standard torus, we endow the Laplace eigenspace with Gaussian probability measure. This induces a notion of a random Gaussian Laplace eigenfunctions on the torus. We study the distribution of nodal length of the random Laplace eigenfunctions for high eigenvalues ("high energy limit").

Guowu Meng

Hong Kong University of Science & Technology; Joint Member, School of Mathematics & Natural Sciences

February 4, 2011

ANALYSIS/MATHEMATICAL PHYSICS SEMINAR

Ivan Corwin

Courant Institute of Mathematics, New York University

February 11, 2011

ANALYSIS/MATHEMATICAL PHYSICS SEMINAR