Equivariant Grothendieck–Riemann–Roch theorem via formal deformation theory

Kondyrev, Grigory; Prikhodko, Artem

doi:10.4310/cjm.2021.v9.n4.a1

Cambridge Journal of Mathematics

2021

DOI: 10.4310/cjm.2021.v9.n4.a1

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Equivariant Grothendieck–Riemann–Roch theorem via formal deformation theory

Grigory Kondyrev

Artem Prikhodko

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Cited by 2 publications

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A toy model for the Drinfeld-Lafforgue shtuka construction

Gaitsgory¹,

Kazhdan²,

Rozenblyum³

et al. 2019

Preprint

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The goal of this paper is to provide a categorical framework that leads to the definition of shtukas à la Drinfeld and of excursion operators à la V. Lafforgue. We take as the point of departure the Hecke action of Rep( Ǧ) on the category Shv(BunG) of sheaves on BunG, and also the end-functor of the latter category, given by the action of the geometric Frobenius. The shtuka construction will be obtained by applying (various versions of) categorical trace.

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A toy model for the Drinfeld-Lafforgue shtuka construction

Gaitsgory¹,

Kazhdan²,

Rozenblyum³

et al. 2019

Preprint

View full text Add to dashboard Cite

show abstract

Automorphic functions as the trace of Frobenius

Arinkin¹,

Gaitsgory²,

Kazhdan³

et al. 2021

Preprint

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Equivariant Grothendieck–Riemann–Roch theorem via formal deformation theory

Cited by 2 publications

References 14 publications

A toy model for the Drinfeld-Lafforgue shtuka construction

A toy model for the Drinfeld-Lafforgue shtuka construction

Automorphic functions as the trace of Frobenius

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