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WEEK OF DECEMBER 4 - DECEMBER 6, 2002 |
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| Statististical Mechanics Seminar | |
| Topic: | Phase separation in the Falicov-Kimball Model |
| Presenter: | Pedro Goldbaum, Princeton University |
| Date | Wednesday, December 4, 2002, Time: 2:00 p.m., Location: Jadwin 343 |
| Abstract: | The proof of phase separation of the two kinds of fermions in the Falicov-Kimball model will be discussed. This segregated phase away from half-filling results from strong fermion correlations and is in contrast to the crystalline phase which displays long range order at half-filling. Recent calculations of a new coefficient for the segregation energy will also be discussed. |
| Department Colloquium | |
| Topic: | $H^{1/2}$ with values into $S^1$ and the Ginzburg-Landau model in 3-d |
| Presenter: | Haim Brezis, Rutgers University and Paris VI |
| Date: | Wednesday, December 4, 2002, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: | Please click here to view abstract |
| Discrete Mathematics Seminar | |
| Topic: | Optical Networks and Konig's Theorem |
| Presenter: | Peter Winkler, Bell Labs |
| Date: | Thursday, December 5, 2002, Time: 2:15 p.m., Location: Fine Hall 224 |
| Abstract: | Technology keeps changing in the optical communications world, but somehow Konig's Theorem - to the effect that the edge-chromatic number of a bipartite graph is its maximum degree - is always in the picture. We'll give four examples of problems which arose at Lucent, all related to both ends of the title, capped off by an ambitious conjecture. The work is joint in various combinations with April Rasala (MIT) and with Bell Labs colleagues Penny Haxell, Gordon Wilfong and Lisa Zhang. |
| Arnold's Diffusion Seminar *** Please note the change in date form Tuesday, December 3, 2002 | |
| Topic: | Random lagrangian systems in unbounded domains |
| Presenter: | K. Khanin, Cambridge University |
| Date: | Thursday, December 5, 2002, Time: 4:00 p.m., Location: Fine Hall 801 |
| Joint Princeton University/IAS Number Theory Seminar | |
| Topic: | Shioda-Inose structures of one parameter families of K3 surfaces |
| Presenter: | Ling Long, IAS |
| Date: | Thursday, December 5, 2002: Time: 4:30, Location: Fine Hall 322 |
| Abstract: | Based on a special structure for certain K3 surfaces with large Picard number, the Shioda-Inose structure, we develop an algorithm to solve some arithmetic problems. For example, given a one parameter family of algebraic elliptic K3 surfaces with generic Picard number 19, we can use this algorithm to identify fibers whose groups of global sections (with respect to a fixed fibration) having larger rank. As a further result, we can obtain some identities involving character sums. |
| Topology Seminar *** Please note change in time | |
| Topic: | Ending laminations and the classification of hyperbolic 3-manifolds |
| Presenter: | Yair Minsky, SUNY at Stonybrook |
| Date: | Thursday, December 5, 2002: Time: 4:30 p.m., Location: Fine Hall 314 |
| Graduate Student Seminar | |
| Topic: | Tube volumes and small hyperbolic three-manifolds |
| Presenter: | Peter Milley, Princeton University |
| Date: | Friday, December 6, 2002, Time: 12:30 p.m., Location: Fine Hall 1201 |
| Abstract: | In two dimensions, the Gauss-Bonnet theorem says that the area of a complete hyperbolic surface is just a constant multiple of its Euler characteristic. In three dimensions, however, the situation is much more complicated; in particular, the question of which hyperbolic three-manifolds have the smallest volume is still open. In this talk I will give a brief history of this problem and my own efforts to tackle it using, among other things, a rigourous computer-aided computation. |
| Geometric Analysis Seminar | |
| Topic: | Asymptotic analysis of the equation $\Delta u = 2 u_x \wedge u_y$ |
| Presenter: | Andrea Malchiodi, IAS |
| Date: | Friday, December 6, 2002, Time: 3:00 p.m., Location: Fine Hall 314 |
| WEEK OF DECEMBER 9 - DECEMBER 13, 2002 | |
| Analysis Seminar | |
| Topic: | TBA |
| Presenter: | Vincent Moncrief, Yale University |
| Date: | Monday, December 9, 2002, Time: 4:00 p.m., Location: Fine Hall 314 |
| Algebraic Geometry Seminar | |
| Topic: | Jets, arcs and minimal log discrepancies |
| Presenter: | Mircea Mustata, Clay and Harvard University |
| Date: | Tuesday, December 10, 2002, Time: 4:30 p.m., Location: Fine Hall 322 |
| Statististical Mechanics Seminar | |
| Topic: | Kolmogorov and Anosov Flows: from Classical to Quantum |
| Presenter: | Gerard Emch, University of Florida, Gainesville |
| Date | Wednesday, December 11, 2002, Time: 2:00 p.m., Location: Jadwin 343 |
| Abstract: | The place of classical Kolmogorov and Anosov flows in the hierarchy of classical ergodic theory will be reviewed with the help of elementary models (from Boltzmann and Hadamard up). I will then explain how these notions generalize naturally to the quantum realm with the help of a few tools from functional analysis, in particular von Neumann algebras, a toolbox that will be open slowly enough to make the generalisations appear natural indeed. |
| Department Colloquium | |
| Topic: | Gauge Symmetry Breaking |
| Presenter: | Ed Witten, Institute for Advanced Study |
| Date: | Wednesday, December 11, 2002, Time: 4:30 p.m., Location: Fine Hall 314 |
| Abstract: | I will describe the gauge symmetry breaking that is observed in superconductors and has an analog in four-manifold theory, and the gauge symmetry breaking in elementary particle physics that physicists are still aiming to understand more fully. |
| Discrete Mathematics Seminar | |
| Topic: | A generalisation of a conjecture of Erdos and Rothschild |
| Presenter: | Peter Keevash, Princeton University |
| Date: | Thursday, December 12, 2002, Time: 2:15 p.m., Location: Fine Hall 224 |
| Abstract: | Please click here to view abstract |
| Joint Princeton University/IAS Number Theory Seminar | |
| Topic: | Automorphic representations of a symplectic group |
| Presenter: | Yuval Flicker, Ohio State University |
| Date: | Thursday, December 12, 2002: Time: 4:30, Location: Fine Hall 322 |
| Abstract: | I would like to describe the admissible and automorphic representations of PGSp(2) in terms of liftings related to PGL(4), PGL(2)xPGL(2), SO(4), stated using character relations. This permits a definition of packets, proof of multiplicity one, listing all counter-examples to Ramanujan's conjecture, and potential applications toShimura varieties. |
| Topology Seminar *** Please note change in time | |
| Topic: | Negative curvature and exotic smooth surfaces |
| Presenter: | Tom Farrell, State University of New York at Binghamton |
| Date: | Thursday, December 12, 2002: Time: 4:30p.m., Location: Fine Hall 314 |