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Seminar on Arithmetic Geometry

November 28 at 15:3017:00 CET

Juan Esteban Rodríguez Camargo (MPI Bonn): Cartier duality for gerbes of vector bundles

Using the theory of abstract six functor formalisms of
analytic stacks, I will explain a general Cartier duality for gerbes
of vector bundles in different algebraic and analytic setups. As an
application, admitting some foundational aspects of the theory of the
analytic Hodge-Tate stack (joint with Anschütz, Le Bras and Scholze),
one can deduce a Cartier duality between the categories of
quasi-coherent sheaves of the analytic
Hodge-Tate stack and weight one modules on the Simpson gerbe of Bhatt-Zhang.

Zoom (635 7328 0984, Kenncode: kleinste sechsstellige Primzahl)

Organizers

  • Sabrina Pauli
  • Timo Richarz
  • Torsten Wedhorn

Venue

  • Darmstadt, Room 401 and Zoom
  • Schlossgartenstraße 7
    Darmstadt, 64289 Germany
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