SMS scnews item created by Boris Lishak at Tue 6 Aug 2019 1452
Type: Seminar
Modified: Tue 6 Aug 2019 1457
Distribution: World
Calendar1: 19 Aug 2019 1200-1300
CalLoc1: Carslaw 375
CalTitle1: Parusinski -- Algebraic Varieties Are Homeomorphic to Varieties Defined over Number Fields
Auth: borisl@dora.maths.usyd.edu.au

Geometry and Topology Seminar

Algebraic Varieties Are Homeomorphic to Varieties Defined over Number Fields

Adam Parusinski (Nice)

August 19, 12:00-13:00 in Carslaw 375

Seminar schedule

Please join us for lunch after the talk.

Abstract: We show that every affine or projective algebraic variety defined over R or C is homeomorphic to a variety defined over the field of algebraic numbers. We construct such homeomorphism by choosing a small deformation of the coefficients of the original equations. This method is based on the properties of Zariski equisingular families of varieties. (Based on a joint paper with Guillaume Rond.) A similar local result for analytic function germs was obtained by Guillaume Rond.


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