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How to prove irrationality of a 3-fold by counting points over finite fields

Speaker: 
Dimitri Markushevich
Institution: 
Université de Lille I
Schedule: 
Wednesday, October 11, 2017 - 16:30
Location: 
A-136
Abstract: 

After a brief survey of known approaches to the proof of irrationality, I will present a new arithmetic proof of the irrationality of a generic cubic 3-fold, a result which was originally proved in 1972 by Clemens--Griffiths using transcendental methods. This is a joint work with Xavier Roulleau.

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