BANACH BUNDLES

Abstract: Tate's theory of rigid analytic spaces includes a theory of coherent sheaves described by Kiehl. We describe an extension of this construction to what we call ``Banach bundles" on rigid analytic spaces, and more general adic spaces such as perfectoid spaces; this builds upon previous work with Ruochuan Liu. As an application, we obtain a GAGA-style theorem for vector bundles on a product of Fargues-Fontaine curves.

number theory

Audience: researchers in the topic

Columbia CUNY NYU number theory seminar