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SEPTEMBER 2008 |
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| Special Seminar |
| Topic: |
The formation of black holes in general relativity |
| Presenter: |
Demetrious Christodoulou, ETH Zurich |
| Date: |
Wednesday, September 10, 2008, Time: 2:00 p.m., Location: IAS S-101 |
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| Analysis Seminar ***Please note special date |
| Topic: |
TBA |
| Presenter: |
Jose Rodrigo |
| Date: |
Wednesday, September 10, 2008, Time: 4:00 p.m., Location: Fine Hall 110 |
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| Discrete Mathematics Seminar |
| Topic: |
Boundary properties of graphs |
| Presenter: |
Vadim Lozin, University of Warwick |
| Date: |
Thursday, September 11, 2008, Time: 4:00 p.m., Location: Fine Hall 224 |
| Abstract: |
The notion of a boundary graph property is a relaxation of that of a minimal property. Several fundamental results in graph theory have been obtained in terms of identifying minimal properties. For instance, Robertson and Seymour showed that there is a unique minimal minor-closed property with unbounded tree-width (the planar graphs), while Balogh, Bollobás and Weinreich identified nine minimal hereditary properties with the factorial speed of growth. However, there are situations where the notion of minimal property is not applicable. A typical example of this type is given by graphs of large girth. It is known that for each particular value of k, the graphs of girth at least k are of unbounded tree-, clique- or rank-width and their speed of growth is superfactorial, while the “limit” property of this sequence (i.e., acyclic graphs) has bounded tree-, clique- and rank-width and its speed of growth is factorial. To overcome this difficulty, we introduce the notion of boundary properties of graphs and identify some of them with respect to various graph problems. |
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| Special Seminar |
| Topic: |
Short pulse method I |
| Presenter: |
Demetrious Christodoulou, ETH Zurich |
| Date: |
Thursday, September 11, 2008, Time: 4:00 p.m., Location: Fine Hall 110 |
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| Analysis Seminar ***Please note special time |
| Topic: |
On a break-down criterion for the Einstein equations |
| Presenter: |
David Parlongue, Ecole Polytechnique and Princeton University |
| Date: |
Monday, September 15, 2008, Time: 2:30 p.m., Location: Fine Hall 110 |
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| Special Seminar |
| Topic: |
Short pulse method II |
| Presenter: |
Demetrious Christodoulou, ETH Zurich |
| Date: |
Monday, September 15, 2008, Time: 4:00 p.m., Location: Fine Hall 110 |
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| Algebraic Geometry Seminar |
| Topic: |
On the restriction of irreducible representations of the group U_n(k) to the subgroup U_(n-1)(k) |
| Presenter: |
Benedict Gross, Harvard University |
| Date: |
Tuesday, September 16, 2008, Time: 4:30 p.m., Location: Fine Hall 322 |
| Abstract: |
See http://www.math.princeton.edu/alggeom/ag_gross.pdf |
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| Statistical Mechanics Seminar |
| Topic: |
Coherent States in Quantum Statistical Mechanics |
| Presenter: |
Robert Seiringer, Princeton University |
| Date: |
Wednesday, September 17, 2008, Time: 2:00 p.m., Location: Jadwin 343 |
| Abstract: |
Coherent states go back to the early days of quantum mechanics and have found use in many problems in quantum physics. We shall discuss their application in problems in quantum statistical mechanics and dilute Bose gases in particular. Coherent states can be used to rigorously justify part of Bogoliubov's theory, where creation and annihilation operators get replaced by c-numbers. Moreover, they are essential for understanding the emergence of effective theories on the macroscopic scale, like the Gross-Pitaevskii equation for rotating Bose gases in traps. |
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| Department Colloquium |
| Topic: |
Integral zeta values and the number of automorphic representations |
| Presenter: |
Benedict Gross, Harvard University |
| Date: |
Wednesday, September 17, 2008, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: |
See http://www.math.princeton.edu/colloq/co_gross.pdf |
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| Statistical Mechanics Seminar |
| Topic: |
TBA |
| Presenter: |
Roberto Car, Princeton University |
| Date: |
Wednesday, September 24, 2008, Time: 2:00 p.m., Location: Jadwin 343 |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
David Donoho, Stanford University |
| Date: |
Wednesday, September 24, 2008, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
A. Zinger, Stony Brook |
| Date: |
Monday, September 29, 2008, Time: 3:00 p.m., Location: Fine Hall 314 |
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| Algebraic Geometry Seminar |
| Topic: |
TBA |
| Presenter: |
Gueorgui Todorov, Princeton University |
| Date: |
Tuesday, September 30, 2008, Time: 4:30 p.m., Location: Fine Hall 322 |
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OCTOBER 2008 |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Alan Reid, University of Texas |
| Date: |
Wednesday, October 1, 2008, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
J. Lee, UCF |
| Date: |
Monday, October 6, 2008, Time: 3:00 p.m., Location: Fine Hall 314 |
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| PACM Colloquium |
| Topic: |
Structure Determination through Eigenvectors of Sparse Operators |
| Presenter: |
Amit Singer, PACM & Mathematics, Princeton University |
| Date: |
Monday, October 6, 2008, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
In many applications, the main goal is to obtain a global low dimensional representation of the data, given some local noisy geometric constraints. In this talk we will show how the problems listed below can be efficiently solved by constructing suitable operators on their data and computing a few eigenvectors of sparse matrices corresponding to the data operators.
* Cryo Electron Microscopy for protein structuring: reconstructing the three-dimensional structure of a molecule from projection images taken at random unknown orientations (unlike classical tomography, where orientations are known).
* NMR spectroscopy for protein structuring: finding the global positioning of all hydrogen atoms in a molecule from their local distances. Distances between neighboring hydrogen atoms are estimated from the spectral lines corresponding to the short ranged spin-spin interaction.
* Sensor networks: finding the global positioning from noisy local distances.
Joint work with Ronald Coifman, Yoel Shkolnisky (Yale Applied Math) and Fred Sigworth (Yale School of Medicine). |
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| Algebraic Geometry Seminar |
| Topic: |
TBA |
| Presenter: |
Yuri Tschinkel, New York University |
| Date: |
Tuesday, October 7, 2008, Time: 4:30 p.m., Location: Fine Hall 322 |
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| Statistical Mechanics Seminar |
| Topic: |
On models of random permutations and their relation to Bose-Einstein condensation |
| Presenter: |
Daniel Ueltschi, Warwick University |
| Date: |
Wednesday, October 8, 2008, Time: 2:00 p.m., Location: Jadwin 343 |
| Abstract: |
The first half of the talk will be devoted to probabilistic models of "spatial" random permutations, that involve points in R^d. Permutations are weighed according to the length of the jumps. The main question deals with the occurrence of infinite cycles. The second part of the talk will be devoted to the quantum Bose gas in the path-integral representation. Models of interacting spatial permutations are expected to shed light on the effects of the interactions on the Bose-Einstein condensation. |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
A. Caldararu, Wisconsin |
| Date: |
Monday, October 13, 2008, Time: 3:00 p.m., Location: Fine Hall 314 |
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| PACM Colloquium |
| Topic: |
TBA |
| Presenter: |
Greg Hammett, Princeton Plasma Physics Lab |
| Date: |
Monday, October 13, 2008, Time: 4:00 p.m., Location: Fine Hall 214 |
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| Algebraic Geometry Seminar |
| Topic: |
TBA |
| Presenter: |
Florin Ambro, Romanian Academy of Sciences/ Johns Hopkins |
| Date: |
Tuesday, October 14, 2008, Time: 4:30 p.m., Location: Fine Hall 322 |
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| Department Colloquium |
| Topic: |
Unitary representations of simple Lie groups |
| Presenter: |
David Vogan, MIT |
| Date: |
Wednesday, October 15, 2008, Time: 4:30 p.m., Location: Fine Hall 314 |
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| Geometry, Representation Theory, and Moduli Seminar |
| Topic: |
TBA |
| Presenter: |
S. Grushevsky, Princeton University |
| Date: |
Monday, October 20, 2008, Time: 3:00 p.m., Location: Fine Hall 314 |
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| PACM Colloquium |
| Topic: |
Group representation patterns in digital signal processing |
| Presenter: |
Shamgar Gurevich, Mathematics, University of California, Berkeley and Ronny Hadani, Mathematics, University of Chicago |
| Date: |
Monday, October 20, 2008, Time: 4:00 p.m., Location: Fine Hall 214 |
| Abstract: |
In the lecture we will explain how various fundamental structures from group representation theory appear naturally in the context of discrete harmonic analysis and can be applied to solve concrete problems from digital signal processing. We will begin the lecture by describing our solution to the problem of finding a canonical orthonormal basis of eigenfunctions of the discrete Fourier transform (DFT). Then we will explain how to generalize the construction to obtain a larger collection of functions that we call "The oscillator dictionary." Functions in the oscillator dictionary admit many interesting properties, in particular, we will explain several of these properties which arise in the context of problems of current interest in areas such as communication and radar. Joint work with Nir Sochen (Tel Aviv). |
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| Algebraic Geometry Seminar |
| Topic: |
TBA |
| Presenter: |
Frans Oort, University of Utrecht/ Columbia University |
| Date: |
Tuesday, October 21, 2008, Time: 4:30 p.m., Location: Fine Hall 322 |
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| Department Colloquium |
| Topic: |
TBA |
| Presenter: |
Frans Oort, University of Utrecht/ Columbia University |
| Date: |
Wednesday, October 22, 2008, Time: 4:30 p.m., Location: Fine Hall 314 |
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