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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