| Week of November 26 - November 29, 2002 | ||
| Algebraic Geometry Seminar | ||
| Topic: | The Nash conjecture on arc families of singularities | |
| Presenter: | János Kollár, Princeton University | |
| Date: | Tuesday, November 26, 2002, Time: 4:30 p.m., Location: Fine Hall 322 | |
| Week of December 2 - December 6, 2002 | ||
| Analysis Seminar | ||
| Topic: | TBA | |
| Presenter: | Mihaela Iftime, Northeastern University | |
| Date: | Monday, December 2, 2002, Time: 4:00 p.m., Location: Fine Hall 314 | |
| PACM Colloquium | ||
| Topic: | Nonlinear Scroedinger equations as models of superfluidity | |
| Presenter: | Natalia Berloff, University of Cambridge | |
| Date: | Monday, December 2, 2002, Time: 4:00 p.m., Location: Fine Hall 214 | |
| Abstract: | Quantum effects dominate the behaviour of liquid helium and other Bose-Einstein condensed fluids. These effects, which include the existence of discrete quantized vortices and the quantization of hydrodynamic circulation, place severe restrictions on the types of flow that can take place in the superfluid phase. Turbulent flows in such systems are also of great interest, not only in their own right, but also because they often appear to share important characteristics with those found in classical fluids. The Gross-Pitaevskii (GP) equation, also known in nonlinear optics as the defocusing nonlinear Schroedinger equation, is used to elucidate different aspects of superfluid behaviour: the motion, interactions, annihilations, nucleation and reconnections of vortex lines, vortex rings, and vortex loops; the motion of impurities and their capture by vortex lines. New variations of the GP equation that are more faithful to real helium II are also considered. | |
| Arnold's Diffusion Seminar | ||
| Topic: | TBA | |
| Presenter: | K. Khanin, Cambridge University | |
| Date: | Tuesday, December 3, 2002, Time: 4:00 p.m., Location: Fine Hall 401 | |
| Algebraic Geometry Seminar | ||
| Topic: | Galois groups of function fields | |
| Presenter: | Yuri Tschinkel, Princeton University | |
| Date: | Tuesday, December 3, 2002, Time: 4:30 p.m., Location: Fine Hall 322 | |
| 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: | TBA | |
| Presenter: | Peter Winkler, Bell Labs | |
| Date: | Thursday, December 5, 2002, Time: 2:15 p.m., Location: Fine Hall 224 | |
| 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 | |
| Geometric Analysis Seminar | ||
| Topic: | TBA | |
| 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 | |
| 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 | |