How do I (not) understand Ivan's local space construction of loop Grassmannian
Time: 2020-01-14
Published By: He Liu
Speaker(s): Zhijie DONG (Harbin Insitute of Technology)
Time: 15:00-16:00 January 15, 2020
Venue: Room 9, Quan Zhai, BICMR
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.
