Short Talk: Tiancheng He

The planar FK percolation on Z^2 has been extensively studied, with many critical exponents computed for the q=1(Bernoulli) and q=2(FK-Ising) cases. However, for a long time, most exponents beyond these two cases were not computable. In this talk, I will present the recent progress of computing certain critical exponents. This result builds on recent progress in the convergence of the six-vertex model.