Current Seminars
updated 10/19/2005

   
OCTOBER 19 - OCTOBER 21, 2005
   
Princeton University Graduate Student Seminar
Topic: Quaternionic Analysis
Presenter: Andrew Snowden, Princeton University
Date:  Wednesday, October 19, 2005, Time: 12:30 p.m., Location: Fine Hall 224
Abstract: Of the complex valued functions of a complex variable, the holomorphic functions stand out as those posessing the most remarkable properties. It is natural then to wonder if there is any analagous class of quaternionic valued functions of a quaternionic variable. It seems, though, that it was almost a hundred years after the invention of the quaternions by Hamilton that Fueter was the first to seriously consider the question. He gave a definition for a "regular" quaternionic function and showed that these functions satisfy analouges of the standard propositions of complex analysis: Cauchy's theorem, existence of Laurent expansions, etc. Later, in 1978, Sudbery expanded upon Fueter's ideas. Particularly interesting in Sudbery's paper is the role of harmonic analysis on $S^3$ in the theory, in a manner analagous to the role of harmonic analysis on $S^1$ in complex analysis. In my talk I'll sketch some of the theory of quaternionic analysis and discuss some of its shortcomings.
   
Statistical Mechanics Seminar
Topic: Entropy and chaos in the Kac model
Presenter:  Michael Loss, Georgia Tech
Date:  Wednesday, October 19, 2005,Time: 2:00 p.m., Location: Jadwin 343
Abstract: In his 1956 paper Mark Kac investigated the probabilistic foundations of kinetic theory. Introducing an N-particle master equation he was able to derive a spatially homogenous, nonlinear model Boltzmann equation in the limit as N --> \infty. Key was the notion of `chaotic sequence' (which Kac called `sequences having the Boltzmann property'). I will review various aspects of this topic.
   
Discrete Mathematics Seminar
Topic: The minimum spanning tree and other problems for random subgraphs  
Presenter: 

Jan Vondrak, Microsoft Research

Date:  Wednesday, October 19, 2005, Time: 2:15 p.m., Location: Fine Hall 224
Abstract: See http://www.math.princeton.edu/~bsudakov/vondrak2005-2006.pdf
   
Department Colloquium
Topic: Bi-Lipschitz and coarse invariants
Presenter: 

Assaf Naor, Microsoft Research

Date:  Wednesday, October 19, 2005,Time: 4:30 p.m., Location: Fine Hall 314
Abstract: In this talk we will discuss the problem of finding geometric invariants of metric spaces which can be used to prove bi-Lipschitz and coarse nonembeddability results. This topic is largely motivated by recent applications to geometric group theory and theoretical computer science, as well as Banach space theory, from which many of the problems and methods originated. In particular, we will discuss ways to transfer the theory of type, cotype and uniform convexity to the context of arbitrary metric spaces, and present some applications to embedding theory and the Lipschitz extension problem.
   
Special Ergodic Theory and Statistical Mechanics Seminar
Topic: Radial variation of harmonic functions and boundary theory of groups
Presenter: Anders Karlsson, KTH
Date:  Thursday, October 20, 2005, Time: 2:30 p.m., Location: Fine Hall 1201
   
Operations Research and Financial Engineering Seminar *** Please note special date
Topic: Principal-Agent Problems in Continuous Time
Presenter: Jaksa Cvitanic, Caltech
Date:  Thursday, October 20, 2005, Time: 4:30 p.m., Location: Room E-219, Engineering Quad
Abstract: We consider a framework in which the principal hires an agent to perform a given task. The principal offers the agent a contract, which is a random payoff paid at the terminal date. The agent can control both the drift and the volatility of the underlying process. We characterize optimal contracts in terms of a solution to a Forward-Backward Stochastic Differential Equations (FBSDE) system. We consider two different frameworks. In the first framework, the principal and the agent both have full information on the agent's actions; in examples, we show that if the principal and the agent have the same CRRA utility, or they both have (possibly different) CARA utilities, the optimal contract is (ex-post) linear; if they have different CRRA utilities, the optimal contract is nonlinear, and can be of the call option type. In the second framework, the principal cannot observe the agent's actions; For the case of quadratic cost and separable utility, the optimal contracts can be obtained as a solution to a simple BSDE.
   
Topology Seminar
Topic: Periodic solutions of Hamilton's equations on Tori
Presenter: Nancy Hingston, the College of New Jersey
Date:  Thursday, October 20, 2005, Time: 4:30 p.m., Location: Fine Hall 314
Abstract: Let the torus T^2n carry the standard symplectic structure, and a Hamiltonian function H of period 1 in the time variable. By the Arnold Conjecture, proved for the torus by Conley and Zehnder, the Hamiltonian flow has at least 2n+1 orbits of period 1. Conley and Zehnder also proved, under the additional assumption that all period 1 orbits are nondegenerate: If there are only finitely many orbits of period 1, then there are orbits of arbitrarily large minimal (integer) period. We prove this statement also holds in the degenerate case. Thus there are always infinitely many orbits of integer period. This settles a conjecture of Conley for the torus; this conjecture is still open for other compact symplectic manifolds.
   
Geometric Analysis Seminar
Topic: Local smooth solutions to degenerate hyperbolic Monge-Ampere equations
Presenter: Qing Han, University of Notre Dame
Date:  Friday, October 21, 2005, Time: 3:00 p.m., Location: Fine Hall 314
Abstract: In this talk, we shall discuss the existence of local smooth solutions to degenerate hyperbolic Monge-Ampere type equations, which include as special cases the equation of prescribing Gauss curvature in $n$-space and Darboux equation for the isometric embedding of surfaces in 3-space. We shall prove the existence of local smooth solutions by imposing a certain condition on the zero set of directional derivatives of (nonpositive) Gauss curvature. The Gauss curvature is allowed to degenerate at arbitrary degree.
   
Geometric Analysis Seminar *** Please note special time
Topic: The Monge-Ampere operator and geodesics in the space of Kahler metrics
Presenter: Jacob Sturm, Rutgers University
Date:  Friday, October 21, 2005, Time: 4:00 p.m., Location: Fine Hall 314
Abstract: Let L be an ample line bundle on a compact complex manifold X, and let H be the space of Kahler metrics in the first Chern class of L. We shall prove that the geodesics in the infinite dimensional symmetric space H can be uniformly approximated by geodesics in the finite dimensional symmetric spaces H_k = GL(N_k+1)/U(N_k+1), where N_k is the dimension of the space of global sections of L^k. Thus the H_k are becoming flat inside H as k tends to infinity.
   
OCTOBER 24 - OCTOBER 28, 2005
   
PACM Colloquium
Topic: Sparse recovery
Presenter: 

Terence Tao, Mathematics, University of California, Los Angeles

Date:  Monday, October 24, 2005, Time: 4:00 p.m., Location: Fine Hall 214
Abstract: Suppose one is given a small number of (possibly noisy) linear measurements of a signal. If the number of measurements is less than the number of degrees of freedom of the signal, then one of course cannot reconstruct the signal from the measurements in general. But if one makes the additional hypothesis that the signal is sparse, or at least compressible, then it does become possible to recover the signal accurately, stably, and quickly. The key is decoherence: the measurement basis has to be very "skew" with respect to the sparsity basis. We will survey a number of recent theoretical developments of this idea by several groups and in several contexts (Fourier reconstruction, linear codes, statistical selection.)
   
Joint Princeton University and Institute for Advanced Study Special Seminar
Topic: TBA
Presenter: 

Michael Benedicks, KTH Stockholm

Date:  Tuesday, October 25, 2005, Time: 3:15 p.m., Location: IAS SH-101
   
Algebraic Geometry Seminar
Topic: Characterization of Jacobian and Prym varieties in terms of integrable linear equations
Presenter: Igor Krichever, Columbia University
Date:  Tuesday, October 25, 2005, Time: 4:30 p.m., Location: Fine Hall 322
Abstract: The Riemann-Schottky problem on a characterization of the Jacobians of curves among abelian varieties is more than 120 years old. Quite a few geometrical characterizations of the Jacobians have been found. Among them are famous characterizations by Gunning and Welters. The first effective solution of the Riemann-Schottky problem was obtained by T.Shiota (1986), who proved Novikov's conjecture: the Jacobains of curves are exactly the indecomposable principally polarized abelian varieties whose theta-functions provide explicit solutions of the KP equation. In the talk we present a new approach to the Riemann-Schottky type problems based on the use of integrable linear equations which to some extend can be seen as "one-half" of the corresponding soliton equations. Using this approach, we prove the characterization of the Jacobian locus in terms of flexes of the associated Kummer varieties. This characterization is a particular case of the famous Welters trisecant conjecture. At the end of the talk we shall discuss next steps towards the proof of the trisecant conjecture.
   
Mathematical Physics Seminar
Topic: Conformal loop ensembles
Presenter: Scott Sheffield, Courant Institute
Date:  Tuesday, October 25, 2005, Time: 4:30 p.m., Location: Jadwin 343
Abstract:
A simple conformal loop ensemble (CLE) in a planar domain D is a random collection of pairwise disjoint simple closed loops in D with a certain Markov property.  We prove that there is only a one parameter family of CLEs and describe their laws explicitly in multiple ways (using Gaussian free fields, branching SLE variants, and loop soups). This talk is based on joint work with Wendelin Werner.
   
Operations Research and Financial Engineering Seminar
Topic: Exact Simulation of Stochastic Volatility and Other Affine Jump Diffusion Processes
Presenter: Mark Broadie, Columbia University
Date:  Tuesday, October 25, 2005, Time: 4:30 p.m., Location: Room E-219, Engineering Quad
Abstract: The stochastic differential equations for affine jump diffusion models do not yield exact solutions that can be directly simulated. Discretization methods can be used for simulating security prices under these models. However, discretization introduces bias into the simulation results and a large number of time steps may be needed to reduce the discretization bias to an acceptable level. This paper suggests a method for the exact simulation of the stock price and variance under Heston's stochastic volatility model and other affine jump diffusion processes. The sample stock price and variance from the exact distribution can then be used to generate an unbiased estimator of the price of a derivative security. We compare our method with the more conventional Euler discretization method and demonstrate the faster convergence rate of the error in our method. Specifically, our method achieves an O(s^{-1/2}) convergence rate, where s is the total computational budget. The convergence rate for the Euler discretization method is O(s^{-1/3}) or slower, depending on the model coefficients and option payoff function. (This is joint work with Ozgur Kaya)
   
Princeton University Graduate Student Seminar
Topic: Regular Homotopy Classes of Singular Maps
Presenter: Andras Juhasz, Princeton University
Date:  Wednesday, October 26, 2005, Time: 12:30 p.m., Location: Fine Hall 224
Abstract: Two locally generic maps $f,g : M^n --> R^{2n-1}$ are called regularly homotopic if they lie in the same path-component of the space of locally generic maps. Our main result is that if $n$ is not equal to $3$ and $M^n$ is a closed n-manifold then the regular homotopy class of every locally generic map $f : M^n --> R^{2n-1}$ is completely determined by the number of its singular points provided that $f$ is singular (i.e., $f$ is not an immersion). In the case $n=3$ a geometric classification is given for immersions of orientable $3$-manifolds into $5$-space up to regular homotopy.
   
Discrete Mathematics Seminar
Topic: Hyperbolic van der Warden and Valiant Schrijver conjectures  
Presenter: 

Leonid Gurvits, Los Alamos Laboratory

Date:  Wednesday, October 26, 2005, Time: 2:15 p.m., Location: Fine Hall 224
Abstract: See http://www.math.princeton.edu/~bsudakov/gurvitz.pdf
   
Special Analysis Seminar *** Please note special time, date, and location
Topic: Variations around the Ginzburg-Landau model for a superconducting cylinder
Presenter:  Myrto Sauvageot, Laboratoire Jacques-Louis Lions
Date:  Wednesday, October 26, 2005, Time: 3:00 p.m., Location: Fine Hall 601
Abstract: This talk will propose a study of classes of solutions for the Ginzburg-Landau equations related to a superconducting cylinder with applied magnetic field. It is presented from two points of view : vorticity, i.e. the precise location of the zeros of the wave function, and of the maxima of its modulus; and bifurcation phenomena leading from one class of solutions to another, which roughly speaking correspond to transitions between superconducting phases as observed by physicists.
   
Analysis Seminar
Topic: Functional versions of some Geometric Inequalities
Presenter: 

Vitali Milman, University of Tel Aviv

Date:  Thursday, October 27, 2005, Time: 4:00 p.m., Location: Fine Hall 214
   
Topology Seminar
Topic: Volume and angle structures on 3-manifolds
Presenter: Feng Luo, Rutgers University
Date:  Thursday, October 27, 2005, Time: 4:30 p.m., Location: Fine Hall 314
Abstract: We introduce a finite dimensional variational approach to find constant curvature metrics on triangulated closed 3-manifolds. The approach is based on the Schlaefli formula for volume of tetrahedra. Schlaefli formula suggests that the volume is best expressed in terms of dihedral angles than in edge lengths. Based on this observation, we defined the concept of an angle structure on a tetrahedron and on a triangulated closed 3 manifold, and defined their volume. These are natural generalizations of constant sectional curvature metrics and their volume. It is shown that the volume functional can be extended continuously to the compact closure of the moduli space of angle structure, verifying a conjecture of John Milnor. The main result shows that for a 1-vertex triangulation of a closed 3-manifold if the volume function on the moduli space of all angle structures has a local maximum point, then either the manifold admits a constant curvature Riemannian metric, or the manifold is reducible.
   
NOVEMBER 7 - 11, 2005
   
PACM Colloquium
Topic: Bounds on the Optimal Density of Sphere Packings in High Dimensions
Presenter: 

Sal Torquato, Chemistry, Princeton University

Date:  Monday, November 7, 2005, Time: 4:00 p.m., Location: Fine Hall 214
Abstract:

Sphere packings in high dimensions are of great interest to mathematicians and physicists, and have direct applications in communications theory. Remarkably, no one has been able to provide exponential improvement on a 100-year-old lower bound on the maximal packing density due to Minkowski in d-dimensional Euclidean space \Re^d. The asymptotic behavior of this bound is controlled by 2^{-d} in high dimensions. Using an optimization procedure that we introduced earlier [1] and a conjecture concerning the existence of disordered sphere packings in \Re^d, we obtain a provisional lower bound on the density whose asymptotic behavior is controlled by 2^{-0.7786}, thus providing the putative exponential improvement of Minkowski's bound [2]. The conjecture states that a hard-core nonnegative tempered distribution is a pair correlation function of a translationally invariant disordered sphere packing in \Re^d for asymptotically large d if and only if the Fourier transform of the autocovariance function is nonnegative. The conjecture is supported by two explicit analytically characterized disordered packings, numerical simulations in low dimensions, and known necessary conditions that only have relevance in very low dimensions. A byproduct of our approach is an asymptotic lower bound on the average kissing number whose behavior is controlled by 2^{0.2213}, which is to be compared to the best known asymptotic lower bound on the individual kissing number of 2^{0.2075}. Interestingly, our optimization procedure is precisely the dual of a primal linear program devised by Cohn and Elkies [3] to obtain upper bounds on the density, and hence has implications for linear programming bounds.

  • S. Torquato and F. H. Stillinger, "Controlling the Short-Range Order and Packing Densities of Many-Particle Systems," Journal of Physical Chemistry B, 106, 8354 (2002); ibid, 106, 11406 (2002).
  • S. Torquato and F. H. Stillinger, "New Provisional Lower Bounds on the Optimal Density of Sphere Packings," http://arxiv.org/abs/math.MG/0508381.
  • H. Cohn and N. Elkies, "New upper bounds on sphere packings I," Annals of Mathematics, 157, 689 (2003); H. Cohn, "New upper bounds on sphere packings II," Geometry and Topology, 6, 329 (2002).
   
Algebraic Geometry Seminar
Topic: TBA
Presenter: Ch. Hacon, University of Utah
Date:  Tuesday, November 8, 2005, Time: 4:30 p.m., Location: Fine Hall 322
   
Mathematical Physics Seminar
Topic: Infrared representations, number bounds and renormalization in QED
Presenter: Thomas Chen, Princeton University
Date:  Tuesday, November 8, 2005, Time: 4:30 p.m., Location: Jadwin 343
Abstract:
We discuss some recent work related to the infrared problem in non-relativistic Quantum Electrodynamics (QED). It is explained how some fundamental results which have long been established for Nelson's model (infrared representations, aspects of scattering theory) can now also be proved for QED. Key to the analysis is a bound on the infrared renormalized electron mass in the case where the interaction Hamiltonian has critical scaling (a problem of endpoint type). This estimate is derived by use of an isospectral renormalization group method designed for the spectral analysis of  Hamiltonians in quantum field theory. This is in part based on joint work with V. Bach, J. Fr\"ohlich, and I.M. Sigal.
   
Discrete Mathematics Seminar
Topic: TBA
Presenter: 

Dhruv Mubayi, University of Illinois at Chicago

Date:  Wednesday, November 9, 2005, Time: 2:15 p.m., Location: Fine Hall 224
   
Department Colloquium
Topic: TBA
Presenter: 

Christopher Hacon, University of Utah

Date:  Wednesday, November 9, 2005, Time: 4:30 p.m., Location: Fine Hall 314
   
Analysis Seminar
Topic: Long range scattering for the Maxwell-Schroedinger system
Presenter: 

Giorgio Velo, Universitã di Bologan and INFN

Date:  Thursday, November 10, 2005, Time: 4:00 p.m., Location: Fine Hall 214
   
Topology Seminar
Topic: Counting subgroups and covering spaces in dimension 3
Presenter: Marc Lackenby, Oxford University
Date:  Thursday, November 10, 2005, Time: 4:30 p.m., Location: Fine Hall 314
   
Geometric Analysis Seminar
Topic: TBA
Presenter: Xiaodong Wang, Michigan State University
Date:  Friday, November 11, 2005, Time: 3:00 p.m., Location: Fine Hall 314
   
NOVEMBER 14 - 18, 2005
   
PACM Colloquium
Topic: Homological Methods for Sensor Networks
Presenter: 

Robert Ghrist, Mathematics, University of Illinois

Date:  Monday, November 14, 2005, Time: 4:00 p.m., Location: Fine Hall 214
Abstract: As sensor engineering and manufacturing evolve to produce smaller devices, we will have the problem of dealing with large numbers of very localized objects. What types of global problems can be solved by a swarm of local sensors? Topologists solved a similar problem nearly a century ago. This talk will demonstrate the surprising effectiveness of homology theory in sensor networks.
   
Algebraic Geometry Seminar
Topic: Quasi-reductive group schemes
Presenter: Gopal Prasad, IAS
Date:  Tuesday, November 15, 2005, Time: 4:30 p.m., Location: Fine Hall 322
   
Operations Research and Financial Engineering Seminar
Topic: TBA
Presenter: Adrian Lewis, Cornell University
Date:  Tuesday, November 15, 2005, Time: 4:30 p.m., Location: Room E-219, Engineering Quad
   
Princeton University Graduate Student Seminar
Topic: Szemeredi's Regularity Lemma
Presenter: Po-Shen Loh, Princeton University
Date:  Wednesday, November 16, 2005, Time: 12:30 p.m., Location: Fine Hall 224
   
NOVEMBER 21 - 25, 2005
   
PACM Colloquium
Topic: Seismic tomography: some mathematical aspects
Presenter: 

Guust Nolet, Geosciences, Princeton University

Date:  Monday, November 21, 2005, Time: 4:00 p.m., Location: Fine Hall 214
Abstract:

"Seismic tomography" is the term geophysicists use for a collection of methods to use seismic waves to image the interior of the Earth, much like in a CAT scan. Tomographic imaging has led to important discoveries, such as the observation that ocean floor subducts to the bottom of the Earth's mantle and - more recently - that plumes of hot material rise up from the lower mantle.

In its simplest form, the approximations of geometrical optics are applied to high frequency seismic waves. These waves then follow raypaths and the most useful observable is a travel time along the ray: T = \int ds / v(r). In a typical interpretation, \mathcal O (10^6) data with a signal-to-noise ratio of order 1 are inverted for \mathcal O (10^4-10^5) parameters. The mathematical challenge is mostly that of an adequate regularization of the problem that minimizes artifacts. More accurate travel time measurements can be obtained using cross-correlation on digital seismograms with sensitivity to lower frequency. For such waves a first order perturbation theory is needed to include the effects of wave diffraction around small anomalies. The travel time becomes then frequency dependent, and T is given by a volume integral, with an increase by several orders of magnitude in the numerical effort. Finally, for the lowest frequency waves we use the whole waveform as data. These waveforms can be modeled by summation of normal modes, but the problem is inherently nonlinear and again a ray approximation is needed to render the inverse problem feasible. The challenge is to relax this constraint and take effects of diffraction into account. We shall speculate about the possible role of wavelets in meeting these challenges.

   
Special Topology Seminar *** Note special date
Topic: TBA
Presenter:  Ilya Kapovich, University of Illinois (Urbana/Champaign)
Date:  Tuesday, November 22, 2005, Time: 4:30 p.m., Location: Fine Hall 314
   
Discrete Mathematics Seminar
Topic: TBA
Presenter: 

Jozsef Beck, Rutgers University

Date:  Wednesday, November 23, 2005, Time: 2:15 p.m., Location: Fine Hall 224
   
NOVEMBER 28 - DECEMBER 2, 2005
   
PACM Colloquium
Topic: Thermally-driven rare events and large deviation theory
Presenter: 

Maria Reznikoff, Mathematics, Princeton University

Date:  Monday, November 28, 2005, Time: 4:00 p.m., Location: Fine Hall 214
Abstract:

Thermal or stochastic effects are prevalent in physical, chemical, and biological systems. Particularly in small systems, noise can overpower the deterministic dynamics and lead to &rare events,& events which would never be seen in the absence of noise. One example is the thermally-driven switching of the magnetization in small memory elements. Wentzell-Freidlin large deviation theory is a mathematical tool for studying rare events. It estimates their probability and also the &most likely switching pathway,& which is the pathway in phase space by which rare events are most likely to occur. We explain how large deviation theory and concepts from stochastic resonance may be applied to analyze thermally-activated magnetization reversal in the context of the spatially uniform Landau-Lifschitz-Gilbert equations. The time-scales of the experiment are critical. One surprising and physically relevant result is that in multiple-pulse experiments, nonconvential &short-time switching pathways& can dominate. The effect is dramatic: the usual pathway (connected with the Arrhenius-law) underestimates the probability of switching by an exponential factor.

An advantage of the method via large deviation theory is that it generalizes to systems with spatial variation. To discuss the complications and richness that emerge when spatial variation is taken into account, we consider the (simpler) Allen-Cahn equation. In this context, the rare event of interest is phase transformation from u \equiv -1 to u \equiv +1, and the most likely switching pathway is a pathway through function space. A natural reduced problem emerges in the &sharp-interface limit.& We give a brief overview of some results (rigorous in d = 1, heuristic in d > 1.)

The first part of the talk is joint work with Bob Kohn and Eric Vanden-Eijnden. The second part includes work that is also joint with Felix Otto and Yoshihiro Tonegawa.

   
Operations Research and Financial Engineering Seminar
Topic: TBA
Presenter: Tom Salisbury, York University
Date:  Tuesday, November 29, 2005, Time: 4:30 p.m., Location: Room E-219, Engineering Quad
   
Discrete Mathematics Seminar
Topic: TBA
Presenter: 

Ben Green, Clay Institute, University of Bristol and MIT

Date:  Wednesday, November 30, 2005, Time: 2:15 p.m., Location: Fine Hall 224
   
Department Colloquium
Topic: TBA
Presenter: 

Yum-Tong Siu, Harvard University

Date:  Wednesday, November 30, 2005, Time: 4:30 p.m., Location: Fine Hall 314
   
DECEMBER 5 - 9, 2005
   
PACM Colloquium
Topic: The Boosting Approach to Machine Learning
Presenter: 

Robert Schapire, Computer Science, Princeton University

Date:  Monday, December 5, 2005, Time: 4:00 p.m., Location: Fine Hall 214
Abstract: Machine learning studies the design of computer algorithms that automatically make predictions about the unknown based on past observations. Often, the goal is to learn to categorize objects into one of a relatively small set of classes. Boosting, one method for solving such learning problems, is a general technique for producing a very accurate classification rule by combining rough and moderately inaccurate "rules of thumb." While rooted in a theoretical framework of machine learning, boosting has been found to perform quite well empirically. After introducing the boosting algorithm AdaBoost, I will explain the underlying theory of boosting, including our explanation of why boosting often does not suffer from overfitting. I also will touch on some of the other theoretical perspectives on boosting, and describe some recent applications and extensions.
   
Operations Research and Financial Engineering Seminar
Topic: TBA
Presenter: Paolo Guasoni, Boston University
Date:  Tuesday, December 6, 2005, Time: 4:30 p.m., Location: Room E-219, Engineering Quad
   
Discrete Mathematics Seminar
Topic: TBA
Presenter: 

Mario Szegedy, Rutgers University

Date:  Wednesday, December 7, 2005, Time: 2:15 p.m., Location: Fine Hall 224
   
Geometric Analysis Seminar
Topic: TBA
Presenter:

Pierre Albin, MIT

Date:  Friday, December 9, 2005, Time: 3:00 p.m., Location: Fine Hall 314
   
DECEMBER 12 - DECEMBER 16, 2005
   
PACM Colloquium
Topic: Turbulence and Large-scale Geophysical Circulations
Presenter: 

Geoff Vallis, Geosciences/Atmospheric & Oceanic Sciences, Princeton University

Date:  Monday, December 12, 2005, Time: 4:00 p.m., Location: Fine Hall 214
   
Operations Research and Financial Engineering Seminar
Topic: TBA
Presenter: Pierre-Louis Lions
Date:  Tuesday, December 13, 2005, Time: 4:30 p.m., Location: Room E-219, Engineering Quad
   
Discrete Mathematics Seminar
Topic: TBA
Presenter: 

Prasad Tetali, Georgia Tech

Date:  Wednesday, December 14, 2005, Time: 2:15 p.m., Location: Fine Hall 224