Time: October 21 (Wednesday), 13:15--14:45
          October 22 (Thursday), 15:15 -- 16:45

We consider the random field Ising model on Z^2 with external field i.i.d. N(0,\epsilon). I will present a recent result that under nonnegative temperatures, the effect of boundary conditions at distance N away on the magnetization in a finite box decays exponentially. This talk is based on the joint work with Prof. Jian Ding. In the first lecture, I will focus on the perturbative analysis, which is a crucial tool used in our proof, and similarities in the proofs of the zero temperature case and the positive temperature case. In the second lecture, I will show the significance of applying the Aizenmann-Burchard result to our proofs. If time allows, I will also talk about some new tricks involved in the positive temperature case proof.

Note: There is also a probability seminar talk by Jiaming Xia on the same topic on Monday October 19, 2--3pm, in School of Mathematical Sciences. The seminar will be an overview of the problem and recent developments. More information of the seminar can be found here: http://bicmr.pku.edu.cn/~xinyili/probseminar.htm.