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Seminars for the week of February 28, 2005

Colloquium

Thursday, 3:30, in VinH 16

Professor Adrian Diaconu
of Columbia University
will speak on
"Twisted Fermat Curves Over Totally Real Fields"

Let p be an odd prime number, and consider the twisted affine Fermat curve $x^p+y^p =\Delta$ with a rational $\delta$. A well-known theorem of Faltings implies that, for $p\geq 5$, the twisted affine Fermat curve has finitely many rational points, thanks to Wiles' proof of the Fermat Last Theorem. In this talk, we will introduce a different idea to study twisted affine Fermat curves. It is based on the connection between the central value of the Hasse-Weil L-function associated to the twisted affine Fermat curve, and the rank of its Jacobian, as predicted by the Birch and Swinnerton-Dyer conjecture. We will give a sufficient (effective) condition for the twisted affine Fermat curves to have no rational points in terms of the non-vanishing at the central point of certain L-functions. Then, using analytic methods, we will conclude that our sufficient condition is satisfied infinitely often, for any prime p. (This is joint work with Y. Tian).

Monday, 28 Feb 2005

Materials seminar: multiscale focus group: at 11:15 in LindH 409
Professor Shankar Venkataramani from University of Arizona will speak on "Natural patterns and minimizers of the regularized Cross-Newell energy"
Commutative Algebra/Algebraic Geometry: at 3:30 in VinH 311
... Will not meet this week
Dynamical Systems Seminar: at 3:35 in VinH 570
Professor Bjorn Sandstede from University of Surrey will speak on "Krein signatures, and the stability of pulses in Hamiltonian PDEs"
Real Analysis [In memory of Gene Fabes]: at 3:35 in VinH 209
... Will not meet this week

Tuesday, 1 Mar 2005

Student Lie Theory: at 10:10 in VinH 203B
... Will not meet this week
IMA Postdoc Seminar: at 11:15 in LindH 409
Professor Ryan S. Elliott from University of Michigan will speak on "Bifurcation and stability of multilattices with applications to Martensitic transformations in shape memory alloys"
Student Topology: at 11:15 in VinH 203B
... Will not meet this week
Introduction to Geometric Measure Theory: at 1:25 in LindH 409
Professor Simon Morgan will speak on "Montonicity results"
Math Physics: at 1:25 in VinH 570
Professor Debra Lewis from IMA and University of Santa Cruz will speak on "Generalized connections and geometric integration"
Jr. Colloquium: at 3:35 in VinH 570
Professor Robert Gulliver will speak on "How to build minimal surfaces"

Wednesday, 2 Mar 2005

Materials seminar: Singularities Focus Group: at 11:15 in Lind Hall 409
Professor Norman Dancer from University of Sydney will speak on "Stable and finite Morse index solutions on bounded domains with small diffusion"
P.D.E.: at 3:35 in VinH 301
Professor Richard Laugesen from University of Illinois will speak on "New dissipated energies for the thin fluid film equation"
Representation of p-adic Groups: at 4:30 in FordH B60
Nien Chufeng will speak on "E-distribution and intertwining operator"

Thursday, 3 Mar 2005

Materials seminar: Singularities Focus Group: at 11:15 in Lind Hall 409
Professor Paul R. Schrater will speak on "Vision"
Topology: at 11:15 in VinH 313
Professor Donald Kahn will speak on "parametrized homotopy according to May and Sigurdsen (a continuation)"
Image Processing and Analysis Working: at 11:15 in LindH 409
Professor Paul Schrater from Computer Science and Psychology will speak on "Vision"
Applied Mathematics and Numerical Analysis: at 11:15 in VinH 570
Professor Yassine Boubendir will speak on "The non-overlapping domain decomposition method for scattering problems"
Differential Geometry and Sympletic Topology: at 2:20 in VinH 301
... Will not meet this week
Student Number Theory: at 2:30 in VinH 203A
Mr. Benjamin Rosenfield will speak on "Class field theory via cohomology, Part I"
Colloquium: at 3:30 in VinH 16
Professor Adrain Diaconu from Columbia University will speak on "Twisted Fermat curves over totally real fields"

Friday, 4 Mar 2005

Materials Seminar: at 11:15 in LindH 409
... Will not meet this week
Industrial Problems Seminar: at 1:25 in VinH 570
Dr. Chenyang Xu from Siemens Corporate Research, Princeton, NJ will speak on "Medical image segmentation using deformable models"
Student Combinatorics: at 2:30 in VinH 203B
Mr. Rob Edman will speak on "Algorithmically computing graphisomorphisms"
Working Seminar on Ricci Flow: at 3:35 in VinH 213
... Will not meet this week
Combinatorics: at 3:35 in VinH 364
Professor Andy McLennan will speak on "Simple complexity from imitation games"
Probability: at 3:35 in VinH 206
Professor Anastasia A. Ruzmaikina from Purdue University will speak on "Universality of the distribution of eigenvalues of Wigner random matrices"
Automorphic Forms and Number Theory: at 4:40 in VinH 364
Professor Paul Garrett will speak on "Convergence of Archimedean zeta integrals"

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Last Modified February 01, 2006
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