SMS scnews item created by donnelly at Wed 15 Nov 2017 1158
Type: Seminar
Distribution: World
Expiry: 29 Nov 2017
Calendar1: 16 Nov 2017 1500-1600
CalLoc1: Carslaw 373
Auth: donnelly@pa49-195-139-91.pa.nsw.optusnet.com.au (sdonnelly) in SMS-WASM

# Computational Algebra Seminar: Creutz -- Arithmetic of Bielliptic Surfaces

 Speaker: Brendan Creutz (University of Canterbury, NZ)

Title: Arithmetic of Bielliptic Surfaces

Abstract: A bielliptic surface over the complex numbers is a quotient of a product of
elliptic curves by a finite group acting by a combination of translations and
automorphisms of the elliptic curves.  The study of these surfaces over number fields
has played an important role in our understanding of rational points on algebraic
varieties.  I will review this history and then describe recent computations with Magma
showing that Skorobogatov’s famous bielliptic surface does indeed have a zero-cycle of
degree 1, as predicted by a conjecture of Colliot-ThÃ©lÃ¨ne.


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