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Rational points, rational curves and the circle method

Date: Thursday, January 11, 2018 09:00 - 10:00
Speaker: Tim Browning (U of Bristol)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Tamas Hausel
Lab building west seminar room

Abstract:

The study of the arithmetic and geometry of smooth hypersurfaces is both very old and very challenging. Counting methods from analytic number theory(the circle method) have been extraordinarily effective at describing the set of rational points on hypersurfaces. The main goal of this talk is to show how versions of these methods can also be pushed to answer purely geometric questions about the the space of degree d rational curves contained on them.
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