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Yuanqi Wang
Tue May 21, 2013
4:00 pm
Inspired by Donaldson's program, we introduce the Kahler Ricci flow with conical singularities. The main part of this talk is to show that the conical Kahler Ricci flow exists for short time and for long time in a proper space. These existence results are hight related to heat kernel and Bessel functions. We will also discuss some...
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Peiyong Wang
Tue May 21, 2013
3:00 pm
I will introduce the free boundary problem for the p-Laplacian with
emphasis on the free boundary condition. Then any uniform sub-
sequential limit is proved to solve the free boundary problem for
the infinity Laplacian.
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Kiran Kedlaya
Tue May 21, 2013
2:00 pm
Given an ordinary differential equation whose coefficients are
meromorphic functions of a complex variable, the only obstruction to
convergence of local solutions in a disc is the presence of
singularities within the disc. It was observed decades ago that this
fails if one replaces "complex" by "p-adic", e.g., consider the...
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Mark Stern
Tue May 21, 2013
2:00 pm
I will discuss natural energy functionals related to the
existence of holomorphic structures on vector bundles and show how
inauspicious Hodge data implies blow up of minimizing sequences.
Grassmann embeddings and an analytic perspective on stability in the
sense of Gieseker and Mumford plays an important role.
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Cynthia Sanchez Tapia
Tue May 21, 2013
1:30 pm
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Alexei Novikov
Mon May 20, 2013
4:00 pm
Consider a Brownian particle in a prescribed time-intependent incompressible flow in a bounded domain. We investigate how the strength of the flow and its geometric properties affect the expected exit time of the particle. The two main questions we analyze in this talk are as follows. 1. Incompressible flows are known to enhance mixing in...
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Liang Xiao
Fri May 17, 2013
4:00 pm
To start, I will discuss Dirichlet's proof of infinitude of primes in an arithmetic progression. This leads up to the study of special values of L-functions and their arithmetic properties. If time permits, I will try to explain some conjectures and philosophy in this direction.
