Monday 14 April 2025
16:00–17:30*
Ismael Sierra (University of Toronto) — Homological stability of even (and odd) symplectic groups
I will define the "odd" symplectic groups Sp2g+1(Z), which fit in between the usual "even" symplectic groups, and state new homological stability results for them. I will explain the main ideas of the proof and 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 some related open questions.
* Eastern European Time, i.e. UTC+2 in winter and UTC+3 in summer.