Mirabolic Special Cycles and the Twisted AFL
Time: 2023-09-19
Published By: He Liu
Speaker(s): Zhiyu Zhang(Stanford University)
Time: 15:15-16:15 September 20, 2023
Venue: Room 77201, Jingchunyuan 78, BICMR
In this talk, we will introduce and study mirabolic special cycles on certain Rapoport-Zink spaces for GL_n, which do not exist in the "real" world. Motivated by the arithmetic Gan--Gross--Prasad conjectures, we will formulate a twisted arithmetic fundamental lemma. With the help of these new cycles we can prove this new AFL.
