Reversibility and duality of SLE

Series: 
Job Candidate Talk
Monday, February 2, 2009 - 15:00
1 hour (actually 50 minutes)
Location: 
Skiles 255
,  
Yale University
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.