|
|
APRIL 2007 |
|
|
Sato-Tate Seminar |
Topic: |
Bigness and auxiliary primes |
Presenter: |
Brian Conrad, University of Michigan and Columbia University |
Date: |
Wednesday, April 18, 2007, Time: 1:30 p.m., Location: Fine 314 |
|
|
Discrete Mathematics Seminar |
Topic: |
Pfaffian orientations of graphs |
Presenter: |
Serguei Norine, Georgia Tech |
Date: |
Wednesday, April 18, 2007, Time: 2:15 p.m., Location: Fine 224 |
Abstract: |
See http://www.math.princeton.edu/~bsudakov/norine2007-spring.pdf |
|
|
Geometry, Representation Theory, and Moduli Seminar |
Topic: |
The Gromov-Witten invariants of [Sym2 CP2] |
Presenter: |
J. Wise, Brown University |
Date: |
Wednesday, April 18, 2007, Time: 3:00 p.m., Location: Fine 214 |
|
|
Department Colloquium |
Topic: |
Billiards and dynamics over moduli space |
Presenter: |
Curtis T McMullen, Harvard University |
Date: |
Wednesday, April 18, 2007, Time: 4:30 p.m., Location: Fine 314 |
|
|
Ergodic Theory and Statistical Mechanics Seminar |
Topic: |
Poincare Lectures I |
Presenter: |
Aaron Naber, Princeton University |
Date: |
Thursday, April 19, 2007, Time: 2:00 p.m., Location: Fine 401 |
Abstract: |
We relate the recent advances made by Perelman in the Ricci Flow and their application to the proof of the Poincare Conjecture. The proof is broken into three parts: The existence and classification of singularity dilations of the Ricci Flow, the definition and long time existence of the Ricci Flow with Surgery, and the finite time extension of such a flow. After an overview of the proof we will focus on the singularity classification in dimension three. |
|
|
Princeton University and Institute for Advanced Study Number Theory Seminar |
Topic: |
On a conjecture of Greenberg on Iwasawa invariants of totally real number fields |
Presenter: |
Conjeeveram Rajan, IAS |
Date: |
Thursday, April 19, 2007, Time: 4:30 p.m., Location: IAS SH-101 |
Abstract: |
We show that Leopoldt's conjecture for totally real number fields implies Greenberg's conjecture on the uniform boundedness of the $p$-primary part of the class groups of the finite extensions along the cyclotomic tower of a totally real number field. |
|
|
Topology Seminar |
Topic: |
Minimal-complexity surfaces in pretzel link complements |
Presenter: |
Joan Licata, Yale University |
Date: |
Thursday, April 19, 2007, Time: 4:30 p.m., Location: Fine 314 |
|
|
Geometric Flows and Related Topics Workshop |
Topic: |
The hypoelliptic Dirac operator |
Presenter: |
Jean-Michel Bismut, U Paris-Sud and NYU |
Date: |
Friday, April 20, 2007, Time: 2:00 p.m., Location: Fine 214 |
|
|
Geometric Flows and Related Topics Workshop |
Topic: |
Holomorphic Kahler-Einstein metrics and Kahler-Ricci flow |
Presenter: |
Jian Song, Johns Hopkins University |
Date: |
Friday, April 20, 2007, Time: 3:15 p.m., Location: Fine 314 |
|
|
Geometric Flows and Related Topics Workshop |
Topic: |
Singularities of harmonic maps, minimal surfaces and mean curvature flow |
Presenter: |
Neshan Wickramasekera, UCSD |
Date: |
Friday, April 20, 2007, Time: 4:30 p.m., Location: Fine 314 |
|
|
Geometric Flows and Related Topics Workshop |
Topic: |
New Ricci flow invariant curvature conditions in large dimensions |
Presenter: |
Burkhard Wilkiing, University of Munster |
Date: |
Saturday, April 21, 2007, Time: 10:00 a.m., Location: Fine 314 |
|
|
Geometric Flows and Related Topics Workshop |
Topic: |
Curve shortening and the topology of closed geodesics on Finsler surfaces |
Presenter: |
Sigurd Angenent, University of Wisconsin |
Date: |
Saturday, April 21, 2007, Time: 11:15 a.m., Location: Fine 314 |
|
|
Geometric Flows and Related Topics Workshop |
Topic: |
A Harnack inequality for the conjugate heat equation under Ricci flow |
Presenter: |
Qi Zhang, UC Riverside |
Date: |
Saturday, April 21, 2007, Time: 2:00 p.m., Location: Fine 314 |
|
|
Geometric Flows and Related Topics Workshop |
Topic: |
Dimensional reduction and long-time behavior of Ricci flow |
Presenter: |
John Lott, University of Michigan |
Date: |
Saturday, April 21, 2007, Time: 3:15 p.m., Location: Fine 314 |
|
|
Special Joint Analysis and Ergodic Theory Seminar |
Topic: |
Limiting distributions of expanding translates of a curve on SO(n,1)/Γ |
Presenter: |
Nimish A. Shah, Tata Institut |
Date: |
Monday, April 23, 2007, Time: 4:00 p.m., Location: Fine 110 |
Abstract: |
See http://www.math.princeton.edu/~seminar/2006-07-sem/nimish-abstract.pdf |
|
|
PACM Colloquium |
Topic: |
Heterogeneous Lipid Bilayers: Evolving Microstructures in Biology |
Presenter: |
Mikko Haataja, MAE, Princeton University |
Date: |
Monday, April 23, 2007, Time: 4:00 p.m., Location: Fine 214 |
Abstract: |
The design and processing of materials with novel physical and mechanical properties requires a fundamental understanding of the connections between processing, microstructure, and properties. For example, mechanical properties in pure metals and alloys can be varied by manipulating the polycrystalline grain size or the size of the compositional domains through heat treatment, while elastic strain provides a way to tune the optical properties of self-assembled quantum dots during growth. In an analogous manner, the biological function of cell membranes is strongly affected by the details of the local "microstructure".
Typically, microstructural evolution takes place across multiple length and time scales, ranging from atomistic to mesoscopic ones. In this talk I will describe our recent efforts in developing physically-based, coarse-grained continuum models, which bridge the atomistic and mesoscopic scales, to elucidate lateral organization and non-equilibrium dynamics of heterogeneous lipid bilayers. In particular, I will focus on spatially organized, dynamic heterogeneities in the local lipid composition ("lipid rafts") which have been implicated in many important cellular processes including signal transduction, membrane trafficking, cytoskeleton organization, and pathogen entry. |
|
|
Algebraic Geometry Seminar |
Topic: |
Free absolute Galois groups |
Presenter: |
David Harbater, University of Pennsylvania |
Date: |
Tuesday, April 24, 2007, Time: 4:30 p.m., Location: Fine 322 |
Abstract: |
A conjecture of Shafarevich says that the absolute Galois group of the maximal abelian extension of the rationals is free. A function field analog of the conjecture, for curves over finite fields, was proven by F. Pop and the speaker, using patching methods in rigid or formal geometry. This talk considers a two-dimensional local analog, showing the freeness of the absolute Galois group of the maximal abelian extension of k((x,y)) for k separably closed. This relies on patching methods, the structure of profinite groups, and a result of Colliot-Thelene, Parimala and Ojanguren. |
|
|
Operations Research and Financial Engineering Seminar |
Topic: |
A Duality Theory for Set-Valued Convex Functions |
Presenter: |
Andreas Hamel, University Halle-Wittenberg |
Date: |
Tuesday, April 24, 2007, Time: 4:30 p.m., Location: E-219, E-Quad |
Abstract: |
Duality for extended real-valued convex functions is a well-studied, even classical subject based on works of Fenchel, Moreau, Rockafellar, among many others. A corresponding satisfying theory for functions mapping into the power set of a partially ordered locally convex space is still missing. Such a theory seems to be very desirable since it has already been observed e.g. by Luc in 1989 that the dual of a convex vector optimization problem ’is set-valued in nature’. Moreover, the concept of convex set-valued risk measures has been defined recently in financial mathematics which asks for a corresponding dual representation theory.
We shall present a duality concept that is based on a new notion of affine minorants for set-valued functions and show that almost every concept (e.g. properness, sublinearity, conjugates, inf-convolution) and result (e.g. biconjugation and Fenchel-Rockafellar duality theorems) known in the scalar case can be formulated within this new framework. A special feature of the methodology is that proofs do not rely on the corresponding scalar theory – as in almost every duality theory for vector optimization problems. On the other hand, every main result can equivalently be expressed as a result for a family of scalar problems. Finally, we shall show the theory at work when applied to linear vector optimization problems and to set-valued risk measures. |
|
|
Discrete Mathematics Seminar |
Topic: |
TBA |
Presenter: |
Assaf Naor, NYU |
Date: |
Wednesday, April 25, 2007, Time: 2:15 p.m., Location: Fine 224 |
|
|
Department Colloquium |
Topic: |
TBA |
Presenter: |
Jacob Rasmussen, Princeton University |
Date: |
Wednesday, April 25, 2007, Time: 4:30 p.m., Location: Fine 314 |
|
|
Ergodic Theory and Statistical Mechanics Seminar |
Topic: |
Poincare Lectures II |
Presenter: |
Aaron Naber, Princeton University |
Date: |
Thursday, April 26, 2007, Time: 2:00 p.m., Location: Fine 401 |
Abstract: |
We relate the recent advances made by Perelman in the Ricci Flow and their application to the proof of the Poincare Conjecture. The proof is broken into three parts: The existence and classification of singularity dilations of the Ricci Flow, the definition and long time existence of the Ricci Flow with Surgery, and the finite time extension of such a flow. After an overview of the proof we will focus on the singularity classification in dimension three. |
|
|
Topology Seminar |
Topic: |
Heegaard Splittings and Hyperbolic Geometry |
Presenter: |
Hossein Namazi, Princeton University |
Date: |
Thursday, April 26, 2007, Time: 4:30 p.m., Location: Fine 314 |
Abstract: |
How does a hyperbolic 3-manifold look like? We speak about an approach to answer this question which uses the combiatorial data provided by a Heegaard splitting. |
|
|
Symplectic Geometry Seminar |
Topic: |
Vanishing of the fundamental class of displaceable Lagrangian submanifolds |
Presenter: |
Peter Albers, NYU |
Date: |
Friday, April 27, 2007, Time: 2:00 p.m., Location: Fine 214 |
Abstract: |
In this talk I will sketch a proof of the following theorem. The fundamental class of a displaceable monotone Lagrangian submanifold vanishes. This proof uses an geometric argument and Hamiltonian Floer homology. Afterwards I will put this into a more conceptual context involving Lagrangian and Hamiltonian Floer homology and their interplay. This yields another (slightly more general proof of the aforementioned theorem and some further corollaries concerned with topological properties of Lagrangian submanifolds. |
|
|
Differential Geometry and Geometric Analysis Seminar |
Topic: |
TBA |
Presenter: |
Meijun Zhu, University of Oklahoma |
Date: |
Friday, April 27, 2007, Time: 3:00 p.m., Location: Fine 314 |
|
|
Differential Geometry and Geometric Analysis Seminar *** Please note special time |
Topic: |
The Riemannian Penrose Inequality in dimensions less than 8 |
Presenter: |
Dan Lee, Duke University |
Date: |
Friday, April 27, 2007, Time: 4:00 p.m., Location: Fine 314 |
Abstract: |
The Riemannian Penrose Inequality was first proved in three dimensions in 1997 by G. Huisken and T. Ilmanen for the case of a single black hole. In 1999, H. Bray extended this result to the general case of multiple black holes using a different technique. I will discuss joint work with H. Bray on extending Bray's technique to dimensions less than 8. |
|
|
MAY 2007 |
|
|
Algebraic Geometry Seminar |
Topic: |
Gerby localization and GW invariants of [C^N/Z_r] |
Presenter: |
Charles Cadman, University of Michigan |
Date: |
Tuesday, May 1, 2007, Time: 4:30 p.m., Location: Fine 322 |
Abstract: |
An important conjecture in Gromov-Witten theory relates the quantum potential of an orbifold with that of a crepant resolution of its coarse moduli space. Recent work has focused on orbifolds of the form [C^N/G], where G is a finite group acting linearly on C^N. I will discuss two approaches to computing the orbifold Gromov-Witten invariants, one of which is joint work with Arend Bayer and the other with Renzo Cavalieri. |
|
|
Operations Research and Financial Engineering Seminar |
Topic: |
TBA |
Presenter: |
Rong Chen, University of Illinois at Chicago |
Date: |
Tuesday, May 1, 2007, Time: 4:30 p.m., Location: E-219, E-Quad |
|
|
Department Colloquium |
Topic: |
TBA |
Presenter: |
Tamar Ziegler, University of Michigan |
Date: |
Wednesday, May 2, 2007, Time: 4:30 p.m., Location: Fine 314 |
|
|
Ergodic Theory and Statistical Mechanics Seminar |
Topic: |
Bulk Universality and Related Properties of Hermitian Matrix Models |
Presenter: |
L.Pastur, Institute for Low Temperatures, Kharkiv, Ukraine |
Date: |
Thursday, May 3, 2007, Time: 2:00 p.m., Location: Fine 401 |
Abstract: |
We give a new proof of universality properties in the bulk of spectrum of the hermitian matrix models, assuming that the potential that determines the model is globally $C^{2}$ and locally $C^{3}$ function. The proof is based on the orthogonal polynomial techniques but does not use asymptotics of orthogonal polynomials. Rather, we obtain the $sin$-kernel as a unique solution of a certain non-linear integro-differential equation that follows from the determinant formulas for the correlation functions. We also present a simplified and strengthened version of the proof of existence and properties of the limiting Normalized Counting Measure of eigenvalues. |
|
|
Topology Seminar |
Topic: |
TBA |
Presenter: |
Doug Park, University of Waterloo |
Date: |
Thursday, May 3, 2007, Time: 4:30 p.m., Location: Fine 314 |
|
|
Differential Geometry and Geometric Analysis Seminar |
Topic: |
TBA |
Presenter: |
Guozheng Lu, Wayne State University |
Date: |
Friday, May 4, 2007, Time: 3:00 p.m., Location: Fine 314 |
|
|
Operations Research and Financial Engineering Seminar |
Topic: |
TBA |
Presenter: |
Frank Heyde, MLU Halle-Wittenberg |
Date: |
Tuesday, May 8, 2007, Time: 4:30 p.m., Location: E-219, E-Quad |
|
|
Ergodic Theory and Statistical Mechanics Seminar |
Topic: |
Circle rotations and the shrinking target properties |
Presenter: |
Jim Tseng, Brandeis University |
Date: |
Thursday, May 10, 2007, Time: 2:00 p.m., Location: Fine 401 |
Abstract: |
The shrinking target properties are related to recurrence. We will motivate and present definitions of these properties. We will also give a necessary and sufficient condition for a circle rotation to have the s-exponent monotone shrinking target property (sMSTP), and, thereby we generalize a result for s = 1 that was established by J. Kurzweil and rediscovered by B. Fayad. We will give a detailed sketch of the proof. Finally, we will apply our technique to give a new, very short, proof of the logarithm law for irrational rotations. |
|
|
Symplectic Geometry Seminar |
Topic: |
TBA |
Presenter: |
Robert Lipshitz, Columbia University |
Date: |
Friday, May 11, 2007, Time: 2:00 p.m., Location: Fine 214 |
|
|
Differential Geometry and Geometric Analysis Seminar |
Topic: |
TBA |
Presenter: |
Jih-Hsin, Academica Sinica |
Date: |
Friday, May 11, 2007, Time: 3:00 p.m., Location: Fine 314 |
|
|
|
|
|
|