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math.NT2023
Modularity of higher theta series I: cohomology of the generic fiber
Tony Feng, Zhiwei Yun, Wei Zhang
In a previous paper we constructed higher theta series for unitary groups over function fields, and conjectured their modularity properties. Here we prove the generic modularity of…
math.NT2023
Derived class field theory
Tony Feng, Michael Harris, Barry Mazur
We sketch the construction of a derived enhancement of the reciprocity isomorphism of class field theory. Details will appear in a forthcoming joint paper of the authors with A. Ra…
math.RT2023
-spectra of cyclic defect
Tony Feng, David Treumann, Allen Yuan
Broué's Abelian Defect Conjecture predicts interesting derived equivalences between derived categories of modular representations of finite groups. We investigate a generalization…