Monday, April 2, 2007

DE and Applied/Computational Math Seminar

TIME: 3:35 p.m. -­ 4:25 p.m.
ROOM: Ayres Hall 309A
SPEAKER: Professor Zhenyu Zhang, UT Physics Dept and ORNL
TITLE: Inverse Design of Surface-Based Nanostructures via Multiscale Modeling

Tuesday, April 3, 2007

Oral Specialty Exam

TIME: 8:00am- 10:00a.m.
ROOM: Ayres Hall 309B
SPEAKER: Mr. Gerald Orick (Committee members: Profs. K. Stephenson (chair), C. Collins, & S. Richter)

Wednesday April 4, 2007

Analysis Seminar

Time: 3:35p.m.-4:25p.m.
ROOM: Ayres Hall 309A
Speaker: Dr. Michael Frazier Mathematics Department Head
Title: Introduction to Littlewood-Paley Theory,2
Abstract: We begin with a self-contained discussion of the Shannon sampling formula for functions of exponential type. We then show how this formula can be applied to complete the discretization of the Calderon formula that we began last week. The result is a formula which is very similar to the Haar expansion formula, but whose representing functions are smooth.

GSEC Graduate Student Forum

TIME: 3:35p.m.- 4:25pm
ROOM: Ayres 314
SPEAKER: Dr. Grozdena Todorova, Dr. Conrad Plaut, Dr. Jim Conant
ABSTRACT:

Dr. Grozdena Todorova
We will present results on development of singularities and instability for fundamental equations of Mathematical Physics: nonlinear dissipative wave equations, nonlinear Klein-Gordon equations and nonlinear Schr\"odinger equation.

Dr. Conrad Plaut
Research around the boundary between geometry and topology. Topology and geometry influence one another in interesting ways, while analysis and algebra often enter the mix.

Dr. Jim Conant
I'll talk about an area at the interface of topology, algebra, and combinatorics called "graph homology."

*Free Pizza*

Algebra Seminar

TIME: 3:35 p.m. -­ 4:25 p.m.
ROOM: Ayres Hall 309B
SPEAKER: Mr. Masoto Kobayashi
ABSTRACT: He will continue talking about modules over Prufer domains.

Thursday, April 5, 2007

Probability Seminar

TIME: 10:10 a.m. - 11:00 a.m.
ROOM: 309B Ayres Hall
SPEAKER: Ken Stephenson
TITLE: Emergent conformal structure
ABSTRACT: Circle packing provides a method for approximating the conformal structure of regions or surfaces. In particular, a triangulation T underlying some circle packing Q living in a Riemann surface S can be embedded as the triangulation underlying a circle packing P in the unit disc D, providing a "discrete conformal map" f : S --> D. Under refinement (more/smaller circles), these maps f are known to converge to the classical conformal mapping F : S --> D.Much more appears to be true: namely, if one assumes that T is simply a random triangulation of S and proceed as before, it appears that the maps f are asymptotically conformal.My goal in the seminar is to get help in formulating a statement and discussing tools that might be helpful in a proof. What is a random triangulation? What are the distributions associated, eg, with extrmal length? Are these infinitely divisible? What types of convergence should be considered? Etc.

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