Title：Quantum cohomology for isotropic Grassmannians

Speaker：John Alexander Cruz Morales  (National University of Colombia) 

Time：2019年5月10日       下午  14:30-16:00

Room：东区管理科研楼  0029cc金沙贵宾会1308室

Abstract：We will discuss the big quantum cohomology ring of isotropic Grassmannians IG(2,2n). After introducing the basic notions we will show that these rings are regular.  In particular, by “generic smoothness”, we will give a conceptual proof of generic semisimplicity of the big quantum cohomology for these Grassmannians. We will also relate certain decomposition of the ring with a exceptional collection of the derived category of IG(2,2n).  This is based on joint work with A. Mellit, A. Kuznetsov, N. Perrin and M. Smirnov.