Affine vs. Stein varieties in complex and rigid geometry
Marco Maculan (Paris Sorbonne)
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
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 |