Affine vs. Stein varieties in complex and rigid geometry

Marco Maculan (Paris Sorbonne)

13-May-2020, 12:00-13:00 (4 years ago)

Abstract: Serre’s GAGA theorem states that, on a projective complex variety, holomorphic objects (functions, vector bundle and their sections, etc.) are algebraic. Without compactness hypothesis this is not true. Yet, one may wonder whether a variety that can be embedded holomorphically into an affine space, can be embedded therein algebraically. A classical example of Serre shows that the answer is negative.

In an ongoing joint work with J. Poineau, we investigate what happens when one replaces the complex numbers by the p-adic ones. Despite the formal similarities between the corresponding analytic theories, the p-adic outcome is somewhat surprising.

algebraic geometryalgebraic topologycomplex variablesdifferential geometrygeometric topologymetric geometryquantum algebrarepresentation theory

Audience: researchers in the topic


Sapienza A&G Seminar

Series comments: Weekly research seminar in algebra and geometry.

"Sapienza" Università di Roma, Department of Mathematics "Guido Castelnuovo".

Organizers: Simone Diverio*, Guido Pezzini*
*contact for this listing

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