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Math Colloquium
Dapeng Zhan
Gibbs Assistant Professor, Department of Mathematics, Yale University
Title: Reversibility and duality of SLE

Abstract: Stochastic Loewner evolution (SLE) introduced by Oded Schramm is a breakthrough in studying the scaling limits of many two-dimensional lattice models from statistical physics. In this talk, I will discuss the proofs of the reversibility conjecture and duality conjecture about SLE. The proofs of these two conjectures use the same idea, which is to use a coupling technique to lift local couplings of two SLE processes that locally commute with each other to a global coupling. And from the global coupling, we can clearly see that the two conjectures hold.

Date: Monday, February 9, 2009
Time: 5:00 pm
Location: Doherty Hall A310