Title：Petty projection body for log-concave functions

Speaker：方牛发  （南开大学）

Time：2019年6月24日     下午  15:30-16:30

Room：东区管理科研楼  0029cc金沙贵宾会1308室

Abstract：In this talk, we will present a new connection between convex geometry and analysis. For any given log-concave function, we define a new log-concave function, that is, the functional  Petty projection body. The functional Petty projection body inherits almost all properties of the classical Petty projection body, such as, Petty projection inequality, affine invariant, SL(n) contravariant valuation,etc. This is a joint work with Prof. Jiazu Zhou.