Wednesday, February 1, 2023 - 4:15pm
University of Pennsylvania
Liouville quantum gravity (LQG) is aof surfaces that originated from string . Schramm Loewner evolution (SLE) is a family of curves describing scaling limits of many 2D models at their criticality. Before the rigorous study via LQG and SLE in probability, surfaces and scaling limits of models have been studied via another approach in theoretical physics called (CFT) since the 1980s. In this talk, I will demonstrate how a combination of ideas from LQG/SLE and CFT can be used to rigorously prove several long standing predictions in physics on surfaces and models, including the law of the modulus of the scaling limit of uniform triangulation of the annular topology, and the crossing formula for critical percolation on an annulus. I will then present some conjectures which further illustrate the deep and rich interaction between LQG/SLE and CFT. Based on joint works with Ang, Holden, Remy, Xu, and Zhuang.