Topic: TBA September 21, 2000

Presenter: Christian Gruber, Lausanne, Ecole Polythechnic Federale

Topic: Applied string/M theory September 21

Presenter: Nikita Nekrassov, Princeton University Physics and IHES

Abstract: The four lecture mini-course will give a brief introduction to modern string theory, aimed at the mathematical audience. The first lecture will be devoted to the basics: from quantum field theory to first quantized string theory, bosonic string amplitudes, Deligne-Mumford moduli space of curves and Mumford measure on it. The second lecture will deal exclusively with closed topological strings, Gromov-Witten theory, mirror symmetry, applications to singularity theory. The third lecture will deal with open topological strings and D-branes, deformation quantization, Chern-Simons theory. The last lecture will introduce to M-theory, and

noncommutative geometry as seen by string theory.

Topic: Local integrability of strong and iterated maximal functions September 25

Presenter: Paul Hagelstein, Princeton University

Topic: A compactification of the space of plane curves September 26

Presenter: Alessio Corti, Cambridge University

Topic: Universality and the two dimensional Ising Model September 27

Presenter: Thomas Spencer, Institute for Advanced Study

Topic: Perturbation and Scalar Curvature September 28 Lecture Hall

Presenter: Antonio Ambrosetti , SISSA, Trieste, Italy; visiting Rutgers U. IAS

Topic: Ricci flow on K\"ahler Einstein manifolds Sept 29

Presenter: Xiuxiong Chen, Princeton University

Topic: Hypoellipticity and nonhypoellipticity of the Kohn Laplacian October 2

for very flat Cauchy-Riemann structures

Presenter: Michael Christ, University of California-Berkeley

Topic: Applied string/M theory October 3

Presenter: Nikita Nekrassov, Princeton University Physics and IHES

Abstract: The four lecture mini-course will give a brief introduction to modern string theory, aimed at the mathematical audience. The first lecture will be devoted to the basics: from quantum field theory to first quantized string theory, bosonic string amplitudes, Deligne-Mumford moduli space of curves and Mumford measure on it. The second lecture will deal exclusively with closed topological strings, Gromov-Witten theory, mirror symmetry, applications to singularity theory. The third lecture will deal with open topological strings and D-branes, deformation quantization, Chern-Simons theory. The last lecture will introduce to M-theory, and

noncommutative geometry as seen by string theory.

Topic: Applied string/M theory October 5

Presenter: Nikita Nekrassov, Princeton University Physics and IHES

Abstract: The four lecture mini-course will give a brief introduction to modern string theory, aimed at the mathematical audience. The first lecture will be devoted to the basics: from quantum field theory to first quantized string theory, bosonic string amplitudes, Deligne-Mumford moduli space of curves and Mumford measure on it. The second lecture will deal exclusively with closed topological strings, Gromov-Witten theory, mirror symmetry, applications to singularity theory. The third lecture will deal with open topological strings and D-branes, deformation quantization, Chern-Simons theory. The last lecture will introduce to M-theory, and

noncommutative geometry as seen by string theory.

Topic: TBA October 9

Presenter: Vladimir Sverak, University of Minnesota

Date: Monday, October 9, 2000, Time: 4 p.m., Location: Fine Hall 314

Topic: Applied string/M theory October 18

Presenter: Nikita Nekrassov, Princeton University Physics and IHES

Abstract: The four lecture mini-course will give a brief introduction to modern string theory, aimed at the mathematical audience. The first lecture will be devoted to the basics: from quantum field theory to first quantized string theory, bosonic string amplitudes, Deligne-Mumford moduli space of curves and Mumford measure on it. The second lecture will deal exclusively with closed topological strings, Gromov-Witten theory, mirror symmetry, applications to singularity theory. The third lecture will deal with open topological strings and D-branes, deformation quantization, Chern-Simons theory. The last lecture will introduce to M-theory, and

noncommutative geometry as seen by string theory.