Vesna Stojanoska (Topology seminar): Bounding the K(n)-local exotic Picard group at n=p-1
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- 143 Altgeld
- Date
- Mar 26, 2024 11:00 am
- Speaker
- Vesna Stojanoska
- Views
- 79
- Originating Calendar
- Topology Seminar
I will report on joint work with Bobkova, Lachmann, Li, Lima, and Zhang, in which we bound the descent filtration of the exotic Picard group κn, for a prime number p>3 and n=p-1. Our method involves a detailed comparison of the Picard spectral sequence, the homotopy fixed point spectral sequence, and an auxiliary β-inverted homotopy fixed point spectral sequence whose input is the Farrell-Tate cohomology of the Morava stabilizer group. Along the way, we deduce that the K(n)-local Adams-Novikov spectral sequence for the sphere has a horizontal vanishing line at 3n2+1 on the E2n2+2-page.