一、题目

Crossing probabilities in 2D Gaussian free field

二、主讲人

吴昊

三、摘要

Two-dimensional Gaussian free field (GFF) is a natural 2D time analogue of Brownian motion. It is also known as free bosonic field in physics literatures, and it is the building block in conformal field theory, quantum gravity and statistical physics. In this talk, we focus on estimates of crossing probability in GFF. Such crossing probability is a delicate quantity for GFF. We will introduce discrete GFF (dGFF) and metric graph GFF (mGFF). Both objects converge to continuum GFF as distributions. However, the crossing probabilities in dGFF and in mGFF are distinct. To derive the scaling limits of crossing probabilities in dGFF and in mGFF, we will introduce Schramm Loewner evolution (SLE). It turns out that the crossing probability in dGFF converges to the so-called pure partition functions of multiple SLEs, and that the crossing probability in mGFF converges to the "fusion" of pure partition functions.

四、会议时间

2021年3月9日9:00 - 10:30

五、会议地点

腾讯会议ID： 258 113 927

会议密码： 123456

六、主讲人简介

吴昊，2009年清华大学本科毕业后赴法国读博，研究方向主要为利用随机过程Schramm Loewner Evolution研究统计物理模型，2013年博士毕业。2013-2017年，先后在美国麻省理工与瑞士日内瓦大学做博士后，主要研究高斯自由场与Ising模型。2017年被聘为清华大学长聘教授。2019年，获得清华大学“学术新人奖”。2020年，获得北京市自然科学基金杰出青年项目。