Abstract:

This report first reviews the classical application of Liouville quantum gravity in calculating critical exponents in two-dimensional statistical physics. Subsequently, it presents the recent solution of the backbone exponent in the two-dimensional percolation model, based on collaboration with Pierre Nolin, Wei Qian, and Zijie Zhuang.

Biography:

Sun Xin is a professor at the Beijing International Center for Mathematical Research, Peking University. He obtained his bachelor’s degree from Peking University in 2011 and his Ph.D. from the Massachusetts Institute of Technology in 2017. He has previously worked at Columbia University and the University of Pennsylvania. He joined the Beijing International Center for Mathematical Research in September 2023. His research interests lie in probability theory and mathematical physics. He has been awarded the Bernoulli Society New Researcher Award in 2020 and the National Science Foundation Early Career Award (USA) in 2021. In 2023, he received the prestigious Lorénz-Ehrenfest Prize (an important international award in probability theory), was selected into a national-level high-level talent program, and in 2024, he was awarded the Frontiers of Science Award at the Basic Science Conference and the Qingcheng Prize from the Alibaba DAMO Academy.