University of Minnesota
Mathematics

Mathematics Seminars for the week of January 31, 2005


Colloquium

Thursday, 3:30, in VinH 16

Professor Robert Pego
of Carnegie Mellon University
will speak on
"Fifty years after Fermi, Pasta and Ulam: Nonlinear waves in Hamiltonian chains at low energy"

The celebrated investigations of Fermi, Pasta and Ulam published in 1955 were key to great developments in nonlinear science during the last half- century. I will review some of the story, and discuss some recently proved results regarding the existence and dynamic stability of nonlinear wave pulses in infinite Hamiltonian chains of particles. The new result (joint with Gero Friesecke) is that on each sufficiently low energy surface, an open set of initial data permanently concentrates most of its energy in a single coherent mode (solitary wave). The proof involves a number of attractive ideas, including symplectic geometry in infinite dimensions, a new kind of Floquent theory, and a bit of hard multiscale analysis that relates the (nonintegrable) FPU chain to the (integrable) Korteweg-de Vries PDE.

Monday, 31 Jan 2005

Materials seminar: multiscale focus group: at 11:15 in LindH 409
Aaron Nung Kwan Yip from Purdue University will speak on "Pinning and De-Pinning Phenomena in Materials Interfacial Problems"
Dynamical Systems Seminar: at 3:35 in VinH 570
Professor Robert Pego from Carnegie Mellon University will speak on "Dynamic scaling, Smoluchowski's coagulation equation and Burgers turbulence"
Real Analysis [In memory of Gene Fabes]: at 3:35 in VinH 209
Professor Peter Rejto will speak on "Note on Hadamard's finite part"

Tuesday, 1 Feb 2005

Special Lecture: at 10:10 in VinH 313
Professor Per-Gunnar Martinsson from Yale University will speak on "Fast direct solvers for boundary value problems"
IMA Postdoc Seminar: at 11:15 in LindH 409
Professor Hailiang Liu from Iowa State University will speak on "Wave breaking in a class of nonlocal dispersive wave equations"
Student Topology: at 11:15 in VinH 203B
... Will not meet this week
Student Number Theory: at 12:20 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 "The deformation theorem"
Math Physics: at 1:25 in VinH 570
Mr. Eric Harrelson will speak on "Algebraic structure of the homology of tree level open-closed string backgrounds"
Jr. Colloquium: at 3:35 in VinH 16
Ms Magdalena Stolarska will speak on "A computational model of cell motility"

Wednesday, 2 Feb 2005

Materials seminar: Singularities Focus Group: at 11:15 in Lind Hall 409
... Will not meet this week
P.D.E.: at 3:35 in VinH 301
Professor Robert Pego from Carnegie Mellon University will speak on "Divorcing pressure from viscosity in incompressible Navier-Stokes dynamics"

Thursday, 3 Feb 2005

Applied Mathematics and Numerical Analysis: at 11:15 in VinH 570
Professor Jon Wilkening from Courant Institute will speak on "Stress-driven grain boundary diffusion: modeling, analysis and numerical methods"
Student Number Theory: at 12:20 in VinH 203B
Mr. Ben Rosenfield will speak on "Elementary L-functions"
Image Processing and Analysis Working: at 12:20 in Tate 150
Professor Kelvin Lim from Center for Magnetic Resonance Research will speak on "Diffusion tensor imaging"
Differential Geometry and Sympletic Topology: at 1:25 in VinH 203A
Professor Liviu Ornea from University of Bucharest will speak on "Deformations and embeddings of locally conformal Kahler manifolds"
Colloquium: at 3:30 in VinH 16
Professor Robert Pego from University of Maryland will speak on "Fifty years after Fermi, Pasta and Ulam: nonlinear waves in Hamiltonian chains at low energy"

Friday, 4 Feb 2005

Materials Seminar: at 11:15 in LindH 409
... Will not meet this week
Industrial Problems Seminar: at 1:25 in VinH 570
... Will not meet this week
Student Combinatorics: at 2:30 in VinH 203B
Sangwook Kim will speak on "Discrete Morse theory"
Combinatorics: at 3:35 in VinH 364
Professor Ezra Miller will speak on "Stanley's simplicial poset conjecture"
Probability: at 3:35 in VinH 206
Professor Mikhail Safonov will speak on "Growth lemmas in probability and analysis"
Automorphic Forms and Number Theory: at 4:40 in VinH 364
Professor Paul Garrett will speak on "Review of Artin L-functions"

Professor Robert Pego, University of Maryland, will visit the Mathematics Department for one month beginning January 18, 2005. His visit is made possible by the Ordway Endowment. Professor Pego's office, during his stay, will be Vincent Hall 350; you can reach him by phone at 625-3491.

Institute of Technology

math.umn.edu/~seminar/2005_January_31.html
Last Modified February 01, 2006
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