Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Topological realization over C((t)) via Kato-Nakayama spaces

Mattia Talpo

created by daniele on 25 Feb 2020
modified on 02 Mar 2020

4 mar 2020 -- 15:00

Aula Magna, DM, Pisa

Seminario di geometria algebrica e aritmetica di Pisa

Abstract.

I will report on some joint work with Piotr Achinger, about a “Betti realization” functor for varieties over the formal punctured disk Spec C((t)), i.e. defined by polynomials with coefficients in the field of formal Laurent series in one variable over the complex numbers. We give two constructions producing the same result, and one of them is via “good models” over the power series ring C[t] and the “Kato-Nakayama” construction in logarithmic geometry, that I will review during the talk.

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