Posted February 25, 20153:30 pm - 4:30 pm 235 Lockett Hall
Daqing Wan, UC Irvine
Slopes of Modular Forms
The p-adic valuation of the p-th coefficient of a normalized modular eigenform is called the slope of the modular form. Understanding the slope distribution and variation is a major intriguing arithmetic problem in modern number theory and arithmetic geometry. In this talk, I will present a simple introduction to this fascinating subject, ending with our recent joint work with Liang Xiao, Jun Zhang and Ruochuan Liu.
Posted February 23, 20153:30 pm
Itai Shafrir, Department of Mathematics, Technion - Israel Institute of Technology
Asymptotic behavior of critical points of an energy involving a "circular-well" potential
We study the singular limit of critical points of an energy with a penalization term depending on a small parameter. The energy involves a potential which is a nonnegative function on the plane, vanishing on a closed curve. We generalize to this setting results obtained by Bethuel, Brezis and Helein for the Ginzburg-Landau energy. This is a joint work with Petru Mironescu (Lyon I).
Posted February 15, 20153:30 pm - 4:20 pm Lockett Hall Room 233
Robert Viator, LSU
Perturbation Theory of High-Contrast Photonic Crystals
Posted February 20, 20155:30 pm Keisler Lounge (321 Lockett)
Meeting of the student actuarial club
Rodney Friedy from the Louisiana Department of Insurance (where he is the director of life actuarial services) will be visiting.
Posted February 10, 20153:30 pm - 4:20 pm 285 Lockett
Tadele Mengesha, The University of Tennessee, Knoxville
The variational convergence of some nonlocal convex functionals
Abstract: In this talk, I will discuss a class of variational problems associated with nonlocal elastic energy of peridynamic-type which result in nonlinear nonlocal systems of equations with various volumetric constraints. The well-posedness of variational problems is established via careful studies of the related energy spaces which are made up of vector-valued functions. In the event of vanishing nonlocality we establish the convergence of the nonlocal energy to a corresponding local energy via Gamma convergence. For some convex energy functionals we will explicitly find the corresponding limit energy. As a special case the classical Navier-Lame potential energy will be realized as a limit of linearized peridynamic energy offering a rigorous connection between the nonlocal peridynamic model to classical mechanics for small uniform strain.