# Topological realization of varieties over C((t)) via log geometry

#### Dr Mattia Talpo, Imperial College. Part of the Algebra seminar series.

I will describe some work in progress with Piotr Achinger about defining 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. Our construction 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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