Dualizing spheres for p-adic analytic groups with applications to chromatic homotopy theory.
Derived algebraic geometry and its applications March 25, 2019 - March 29, 2019
Location: SLMath: Eisenbud Auditorium
Tags/Keywords
equivariant duality
p-adic Lie group
spherical bundle
Lubin-Tate
3-Stojanoska
I will describe a Linearization Conjecture that identifies the spectral dualizing module of a p-adic Lie group in terms of a representation sphere built from the Lie algebra. We can prove this when the action is restricted to certain small finite subgroups. These results are enough to determine Spanier-Whitehead duals of some chromatically interesting spectra. This is joint work in progress with Beaudry, Goerss, and Hopkins.
Notes
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3-Stojanoska
H.264 Video | 873_26335_7679_3-Stojanoska.mp4 |
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