activity
20192022
most citedOn the equivalence of two theories of real cyclotomic spectra

3 citations · 5 across the 3 of their papers we have counts for

collaborators

6 papers

math.AT20222 cited

Parametrized and equivariant higher algebra

Denis Nardin, Jay Shah

We develop the rudiments of a theory of parametrized -operads, including parametrized generalizations of monoidal envelopes, Day convolution, operadic left Kan extensions,…

math.AT20223 cited

On the equivalence of two theories of real cyclotomic spectra

J. D. Quigley, Jay Shah

We give a new formula for real topological cyclic homology that refines the fiber sequence formula discovered by Nikolaus and Scholze for topological cyclic homology to one involvi…

math.AT2021

Dualizable objects in stratified categories and the 1-dimensional bordism hypothesis for recollements

Grigory Kondyrev, Aaron Mazel-Gee, Jay Shah

Given a monoidal -category equipped with a monoidal recollement, we give a simple criterion for an object in to be dualizable in terms of the dualizability of each…

math.AG2019

Scheiderer motives and equivariant higher topos theory

Elden Elmanto, Jay Shah

We give an algebro-geometric interpretation of -equivariant stable homotopy theory by means of the -topology introduced by Claus Scheiderer in his study of -torsion phen…

math.AT2019

On the parametrized Tate construction and two theories of real -cyclotomic spectra

J. D. Quigley, Jay Shah

We give a new formula for -typical real topological cyclic homology that refines the fiber sequence formula discovered by Nikolaus and Scholze for -typical topological cyclic…

math.AT2019

C_2-equivariant stable homotopy from real motivic stable homotopy

Mark Behrens, Jay Shah

We give a method for computing the C_2-equivariant homotopy groups of the Betti realization of a p-complete cellular motivic spectrum over R in terms of its motivic homotopy groups…