Seminar on Geometric Analysis and Its Applications: A matroid polytope approach to sharp affine isoperimetric inequalities

Speaker: Ge Xiong (熊革, Tongji University)

Abstract: New sharp affine isoperimetric inequalities for volume decomposition functionals are established. To attack these extremal problems, we find the recursion formulas of volume decomposition functionals and prove their domain is the relative interior of a matroid polytope. Applications of matroid polytopes in convex geometry are provided. This talk is based on the joint work with Liu Yu-de and Sun Qiang.

Time: April 10, Thursday, 9:30 a.m.

Location: room 1310