Almut Burchard
3:30, Wednesday, Feb 19.
"Critical percolation in the plane:
Scaling limits, conformal invariance, and SLE_6"
Schramm's SLE_k processes describe random curves in the
plane governed by conformally invariant laws. I will
describe their construction, and explain why these are
canonical candidates for scaling limits of certain
stochastic lattice systems, including critical percolation,
random spanning trees, and loop-erased walks. Time
permitting, I will comment on Smirnov's proof that SLE_6
is indeed the scaling limit for a particular model
of critical percolation.