6 papers · 1 filter
The mod p cohomology of the Morava stabilizer group at large primes
Mohammad Behzad Kang, Andrew Salch
We calculate the cohomology of the extended Morava stabilizer group of height , with trivial mod coefficients, for all heights and all primes . The result is an ex…
Iwasawa invariants of finite spectra
Austin Maison, Andrew Salch
We calculate the classical Iwasawa invariants of the Iwasawa modules associated to the -adic topological -theory of finite spectra. We show that the graded average of the ord…
Ravenel's May spectral sequence collapses immediately at large primes
A. Salch
At large primes, the height Ravenel-May spectral sequence takes as input the cohomology of a certain solvable Lie -algebra, and produces as output the mod coh…
ell-adic topological Jacquet-Langlands duality
Andrew Salch, Matthias Strauch
We embed the Lubin-Tate tower into a larger tower of formal schemes, the "degenerating Lubin-Tate tower." We construct a topological realization of the degenerating Lubin-Tate towe…
KU-local zeta-functions of finite CW-complexes
A. Salch
Begin with the Hasse-Weil zeta-function of a smooth projective variety over the rational numbers. Replace the variety with a finite CW-complex, replace etale cohomology with comple…
Failure of flat descent of model structures on module categories
Andrew Salch
We prove that the collection of model structures on (quasicoherent) module categories does not obey flat descent. In particular, it fails to be a separated presheaf, in the fppf to…