Current Seminars
updated 1/31/ 2002
As of January 31 - February 1
Princeton University/IAS Number Theory Seminar *** Please note change in time
Topic: Higher Composition Laws and Applications to Number Fields, I: Overview
Presenter: Manjul Bhargava, Institute for Advanced Study and Princeton University
Date: Thursday, January 31, 2002, Time: 4:15 p.m., Location: IAS SH-101
Abstract: We present 14 higher analogues of Gauss composition, and show how they eventually lead to a solution of the long-standing problem of counting the number of quartic fields of discriminant at most X.
Geometric Analysis Seminar
Topic: Harmonic Representatives of Topological Classes
Presenter: Yang Yisong, Institute for Advanced Study and Polytechnic University, Brooklyn, NY
Date: Friday, February 1, 2002, Time: 3:00 p.m., Location: Fine Hall 314
February 4 - 8
Analysis Seminar
Topic: Homogenization of the compressible Navier-Stokes system
Presenter: Nader Masmoudi, Courant Institute
Date: Monday, February 4, 2002, Time: 4:00 p.m., Location: Fine Hall 314
Algebraic Geometry Seminar
Topic: The equivariant Toda conjecture
Presenter: Ezra Getzler, Northwestern University and IAS
Date: Tuesday, February 5, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Mathematical Physics Seminar
Topic: Multi-dimensional Random Walks in a Mixing Random Environment
Presenter: Firas Rassoul Agha, Courant Institute
Date: Tuesday, February 5, 2002, Time: 4:30 p.m., Location: Jadwin A06
Special Analysis Seminar *** Please note special day and time
Topic: Restriction and extension of holomorphic functions
Presenter: Klas Diederich, Bergische Universität-Wuppertal and University of Michigan
Date: Wednesday, February 6, 2002, Time: 3:30 p.m., Location: Fine Hall 314
Department Colloquium
Topic: Hilbert's Eleventh Problem
Presenter: Peter Sarnak, Princeton University and the Courant Institute
Date: Wednesday, February 6, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Abstract: Hilbert's Eleventh Problem asks about the representability of integers in a number field by an integral quadratic form. Recent advances in the theory of L-functions associated to Hilbert Modular Forms allow for its solution. We will explain the problem and discuss the previous and recent developments that lead to its solution.
Princeton University/IAS Number Theory Seminar
Topic: TBA
Presenter: Ramin Takloo-Bighash, Princeton University
Date: Thursday, February 7, 2002, Time: TBA, Location: Princeton ( room number TBA)
Geometric Analysis Seminar
Topic: TBA
Presenter: ChikaKo Mese, Connecticut College
Date: Friday, February 8, 2002, Time: 3:00 p.m., Location: Fine Hall 314
February 11 - 15
CR Seminar
Topic: Asymptotic expansion of the Szego kernel of the Grauert tub e in line bundle
Presenter: Kengo Hirachi, University of Tokyo
Date: Tuesday, February 12, 2002, Time: 4:00 p.m., Location: Fine Hall 401
Abstract: It is well-known that the asymptotic expansion of the heat kernel of Riemannian manifolds can be explicitly written down by usin g invariant theory and is applied to prove index theorems. As an analo gy of these results, we can consider the asymptotic expansions of the B ergman kernel and the Szego kernel for strictly pseudoconvex domains and hope to obtain an index theorem associated with it. In this talk, as an approach toward the index theorem, we s tudy the asymptotic expansion of the Szego kernel of the Grauert tub e in a negative line bundle L over a complex manifold. We give an explici t relation between the integrals of the coefficients of the asymptotic expansion and the Hilbert polynomial of the dual line bundle of L. W e also give an algebraic procedure of computing the asymptotic expansio n of the Szego kernel and write down first few coefficients of the expansi on.
Algebraic Geometry Seminar
Topic: Algebraic maps: topology and cycles
Presenter: Mark de Cataldo, SUNY at Stony Brook
Date: Tuesday, February 12, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Abstract: I will survey some recent results with Migliorini on semismall maps (I will explain what they are) concentrating on their Hodge-theoretic, topological and cycle-theoretic properties. If time allows, I will discuss some details and examples.
Mathematical Physics Seminar
Topic: Critical Exponents for 2D Percolation
Presenter: Stanislav Smirnov, Royal Institute of Technology, Stockholm
Date: Tuesday, February 12, 2002, Time: 4:30 p.m., Location: Jadwin A06
Department Colloquium
Topic: TBA
Presenter: Freydoon Shahidi, Purdue University
Date: Wednesday, February 13, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Joint Discrete Mathematics/Ergodic Theory and Statistical Mechanics Seminar
Topic: A sharp threshold for network reliability
Presenter: Benny Sudakov, Princeton University and the Institute for Advanced Study
Date: Thursday, February 14, 2002, Time: 2:00 p.m., Location: Fine Hall 224
Geometric Analysis Seminar
Topic: TBA
Presenter: Lu Peng, McMaster University
Date: Friday, February 15, 2002, Time: 3:00 p.m., Location: Fine Hall 314
February 18 - 22
Analysis Seminar
Topic: Non-Lipschitz minimizers for uniformly convex functionals
Presenter: Xiadong Yan, Courant Institute
Date: Monday, February 18, 2002, Time: 4:00 p.m., Location: Fine Hall 314
Algebraic Geometry
Topic: Fundamental groups of surfaces in characteristic p
Presenter: David Harbater, University of Pennsylvania
Date: Tuesday, February 19, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Abstract: This talk concerns the fundamental group of an affine surface over an algebraically closed field. The complex case was studied by Zariski, Abhyankar, and Fulton, and is now well understood for the complement of a nodal curve in P^2. The characteristic p analog is much more mysterious, and will be the main focus of the talk. This case can be regarded as a higher dimensional generalization of the situation in Abhyankar's Conjecture about curves in characteristic p.
Department Colloquium
Topic: Integrable PDEs, "quantum" Riemann-Hilbert problem, and Gromov-Witten invariants
Presenter: Boris A. Dubrovin, Moscow State University and the Institute for Advanced Study
Date: Wednesday, February 20, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Discrete Mathematics Seminar
Topic: Voting paradoxes and digraphs realizations
Presenter: Noga Alon, Tel Aviv University and the Institute for Advanced Study
Date: Thursday, February 21, 2002, Time: 2:00 p.m., Location: Fine Hall 224
February 25 - March 1
Department Colloquium
Topic: TBA
Presenter: Luis A. Caffarelli, University of Texas at Austin
Date: Wednesday, February 27, 2002, Time: 4:30 p.m., Location: Fine Hall 314
March 4 - 8
Algebraic Geometry
Topic: TBA
Presenter: Brendan Hassett, Rice University
Date: Tuesday, March 5, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Department Colloquium
Topic: TBA
Presenter: Ingrid Daubchies, Princeton University
Date: Wednesday, March 6, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Geometric Analysis Seminar
Topic: Global existence and convergence for a fourth-order flow in conformal geometry
Presenter: Simon Brendle, University of Tubingnon
Date: Friday, March 8, 2002, Time: 3:00 p.m., Location: Fine Hall 314
March 11 - 15
Mathematical Physics Seminar
Topic: Coherent State Path Integrals without Resolutions of Unity
Presenter: John Klauder, University of Florida, Gainesville
Date: Tuesday, March 12, 2002, Time: 4:30 p.m., Location: Jadwin A06
Abstract: From the very beginning, coherent state path integrals have always relied on a coherent state resolution of unity for their construction. By choosing an inadmissible fiducial vector, a set of ``coherent states'' spans the same space but loses its resolution of unity, and for that reason has been called a set of weak coherent states. Despite having no resolution of unity, it is nevertheless shown how the propagator in such a basis may admit a phase-space path integral representation in essentially the same form as if it had a resolution of unity.
Geometric Analysis Seminar
Topic: TBA
Presenter: Tristan Riviere, ETH (Swiss Federal Institute of Technology, Zurich)
Date: Friday, March 15, 2002, Time: 3:00 p.m., Location: Fine Hall 314
March 18 - 22
Mathematical Physics Seminar
Topic: TBA
Presenter: Jakob Yngvason, University of Vienna
Date: Tuesday, March 19, 2002, Time: 4:30 p.m., Location: Jadwin A06
March 25 - 29
Algebraic Geometry
Topic: TBA
Presenter: Kiran Kedlaya, University of California, Berkeley
Date: Tuesday, March 26, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Geometric Analysis Seminar
Topic: TBA
Presenter: Bruce Kleiner, University of Michigan & Courant Institute of Mathematics
Date: Friday, March 29, 2002, Time: 3:00 p.m., Location: Fine Hall 314
April 1-5
Algebraic Geometry
Topic: TBA
Presenter: Jeremy Teitelbaum, University Illinois at Chicago.
Date: Tuesday, April 2, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Mathematical Physics Seminar
Topic: Tunneling on Quantum Graphs
Presenter: Pavel Exner, Theor. Physics, Czech Academy of Science, Prague
Date: Tuesday, April 2, 2002, Time: 4:30 p.m., Location: Jadwin A06
Department Colloquium
Topic: TBA
Presenter: Stephen Smale, University of California at Berkeley
Date: Wednesday, April 3, 2002, Time: 4:30 p.m., Location: Fine Hall 314
April 8 - 12
Department Colloquium
Topic: TBA
Presenter: Michael Rabin, Harvard University
Date: Wednesday, April 10, 2002, Time: 4:30 p.m., Location: Fine Hall 314