4 citations · 8 across the 6 of their papers we have counts for
5 papers · 1 filter
The topological Petersson product
Luca Candelori, Andrew Salch
The nondegeneracy of the Petersson inner product on cusp forms, and the fact that Hecke operators are self-adjoint with respect to the Petersson product, together imply that the cu…
Topological Hecke eigenforms
Luca Candelori, Andrew Salch
We study the eigenforms of the action of A. Baker's Hecke operators on the holomorphic elliptic homology of various topological spaces. We prove a multiplicity one theorem (i.e., o…
The cohomology of the height four Morava stabilizer group at large primes
A. Salch
This is an announcement of some new computational methods in stable homotopy theory, in particular, methods for using the cohomology of small-height Morava stabilizer groups to com…
Homotopy colimits in stable representation theory
A. Salch
We study the problem of existence and uniqueness of homotopy colimits in stable representation theory, where one typically does not have model category structures to guarantee that…
Grothendieck duality under Spec Z
A. Salch
We define the derived category of a concrete category in a way which extends the usual definition of the derived category of a ring, and we prove that the bounded-below derived cat…