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Down to characteristic p and then back up again: computations with the p-adic obstruction map

  • Emre Sertöz (University Hannover)
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Abstract

Although extremely simple, Gauss' modular arithmetic is a powerful idea in working with the integers. There is a direct application of this idea in algebraic geometry, where one ""reduces"" a variety modulo an integer. A major undertaking in the second half of the previous century linked topological aspects of the original variety to point counts of its reduction. One can go a little further and carry the analytical properties of the original variety over to its reduction. This gives a refined sense about which subvarieties of the reduction lift back up to the original variety. I will report on joint work with Edgar Costa where we implemented this idea, but mostly, I will give a friendly introduction to the basic concepts.

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seminar
3/17/20 2/21/22

Nonlinear Algebra Seminar Online (NASO)

MPI for Mathematics in the Sciences Live Stream

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail