Warwick Algebraic Topology Seminar 26/27
A list of the seminar talks of the previous years can be found here.
Term 1
The talks will take place on Tuesdays at 5pm in B3.02.
| Date | Speaker | Affiliation |
Title |
Notes |
|---|---|---|---|---|
| 6 Oct | Kelly Wang | Cambridge |
Periodic families in the homology of GLn(F2) |
|
| 13 Oct | Yorick Fuhrmann | Warwick | ||
| 20 Oct | Lukas Waas | Oxford | ||
| 27 Oct | Ulrich Pennig | Cardiff | ||
| 3 Nov | Behrooz Mirzaii | Sao Paulo |
The integral homology of SL_2(Z[1/n]) |
|
| 10 Nov | ||||
| 17 Nov | ||||
| 24 Nov | ||||
| 1 Dec | Henning Krause | Bielefeld | ||
| 8 Dec | Jelena Grbic | Southampton |
Kelly Wang, 6 October
Title: Periodic families in the homology of GLn(F2)
Abstract: In his 1972 paper Quillen completely determined the cohomology ring of GLn(Fq) away from the characteristic of Fq. At the characteristic he showed that the stable value is zero, but the unstable part remains largely mysterious. From a slightly different perspective Galatius-Kupers-Randal-Williams showed that when q = 2, H*(GLn(F2);F2) exhibits stability of slope 2/3. In this talk I will explain how to construct periodic families of non-zero classes in H*(GLn(F2),GLn-1(F2);F2) that lie on line of slope 2/3. In particular they contribute to the unstable homologies and establish sharpness of the 2/3 stability. This also has consequences for GLn(Z) and Aut(Fn).