-
Gregory Pearlstein
Tue Mar 12, 2013
4:00 pm
A Hodge class on a smooth complex projective variety gives rise to an associated hermitian line bundle on a Zariski open subset of a complex projective space P^n. I will discuss recent work with P. Brosnan which shows that the Hodge conjecture is equivalent to the existence of a particular kind of degenerate behavior of this metric near the...
-
Zhongwei Shen
Tue Mar 12, 2013
3:00 pm
In the talk I will describe my recent work, joint with Carlos Kenig and
Fanghua Lin, on homogenization of the Green and Neumann functions for a family of second order elliptic systems with highly oscillatory periodic coefficients. We study the asymptotic behavior of the first derivatives of the Green and Neumann functions, using Dirichlet...
-
Richard Schoen, Bass Professor of Humanities and Sciences
Tue Mar 12, 2013
2:00 pm
The theory of minimal surfaces arose historically from work of J. L. Lagrange and physical observations of J. Plateau almost 200 years ago. Rigorous mathematical theory was developed in the 20th century. In more recent times the theory has found important applications to diverse areas of geometry and relativity. In this talk, which is aimed at a...
-
Tom Alberts
Tue Mar 12, 2013
11:00 am
In the range 4 < \kappa < 8, the intersection of the Schramm-Loewner Curve (one of the central objects in the theory of 2-D Conformally Invariant Systems) with the boundary of its domain is a random fractal set. After reviewing some previous results on the dimension and measure of this set, I will describe recent joint work with Ilia Binder...
-
Lingxiao Zhang
Tue Mar 12, 2013
9:00 am
Advisor: Professor Knut Solna
-
Scott Northrup
Tue Mar 12, 2013
1:00 am
Consider a permutation $\tau$ of the set $\{1,2,\dots,n,\}$. If we divide the unit interval $[0,1)$ into $n$ half-open subintervals, we can consider the map $f$ which rearranges the subinterval according to the permutation $\tau$. Such maps are called interval exchange transformations (IETs) and are the order preserving piecewise...
-
Izumi Takagi
Mon Mar 11, 2013
4:00 pm
We consider the initial-boundary value problem for a single
semilinear parabolic equation with small diffusion rate under the
homogeneous Neumann boundary condition. Bates, Lu and Zeng proved the
existence of a normally hyperbolic invariant manifold for this type of
problem. The manifold consists of functions with a spike on the
boundary,...
