Title：Parabolic and hyperbolic Liouville equations

Speaker：王玉昭    (University of Birmingham, UK)

Time：2019年11月29号（周五）         上午    10:00-11:00

Room：东区管理科研楼   0029cc金沙贵宾会1418室

Abstract：We will talk about some stochastic partial differential equations (SPDEs), which arise naturally in the context of Liouville quantum gravity and are proposed to preserve the Liouville measure which has been constructed recently in the work by David-Kupiainen-Rhodes-Vargas. We construct global solutions to these equations and then show the invariance of the Liouville measure under the resulting dynamics. As a by product, we also answer an open problem proposed by Sun-Tzvetkov.