How do I (not) understand Ivan's local space construction of loop Grassmannian
发布时间:2020年01月14日
浏览次数:6339
发布者: He Liu
主讲人: Zhijie DONG (Harbin Insitute of Technology)
活动时间: 从 2020-01-15 15:00 到 16:00
场地: 北京国际数学研究中心,全斋全9教室
This is a talk reporting my understanding of local space introduced by Ivan Mirkovic.
For a reductive group G, we have the remarkable object loop Grassmannian. One would like to generalize this notion to an arbitary group associated to a quiver. To do this, one needs to look at the global Grassmannian which could be viewed as union of Zastava space which is a local space (has locality property) which is a refined version of factorizable space of Beilinson and Drinfeld. I will explain where I get trouble understanding Ivan if people are interested.