Date/Time
Date(s) - 28/09/2023
4:30 pm - 5:30 pm

Location: HH 312
Speaker: Ismael Sierra (University of Toronto)

Title: Homological stability of even and odd symplectic groups

Abstract: I will define the “odd” symplectic groups Sp_{2g+1}(Z), which fit in between the usual “even” symplectic groups, and state new homological stability results for them. I will explain the sense in which the above can be seen as an algebraic analogue of the proof of homological stability of mapping class groups of surfaces by Harr–Vistrup–Wahl. Finally, I will mention how these ideas can then be applied to the study of diffeomorphism groups of high-dimensional manifolds.