Abstract:
The introduction of SLE by Oded Schramm provides mathematicians with a new tool to study critical lattice models. In the first part of this talk, I will discuss critical planar percolation and explain how people use SLE to derive the arm exponents of percolation. In the second part, I will introduce SLE and general formulae on arm exponents of SLE, and show that these formulae give us various results on the arm exponents of critical planar Ising and FK-Ising models. Finally, I will explain some related results and some open questions.
Biography:
Hao Wu is a Professor at Yau Mathematical Science Center of Tsinghua University in China. She got her bachelor's degree at Tsinghua University in China in 2009. She obtained her Ph.D. at Orsay, France in 2013 under the supervision of Wendelin Werner. Prior to YMSC, she was a C.L.E. Moore instructor at MIT in the U.S. from 2013 to 2015 and she was a postdoc researcher at NCCR/SwissMAP Geneva University in Switzerland from 2015 to 2017. Her research interests include Schramm Loewner evolution, conformal loop ensemble, Gaussian free field, percolation, and random cluster model/Potts model.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai