CRM: Centro De Giorgi
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Diophantine Geometry

course: Counting, heights and algebraic subgroups - large height

speaker: David Masser (Universität Basel)

abstract: Northcott showed that there are at most finitely many algebraic points in a given affine space with height and degree bounded above. Schanuel gave the asymptotic counting function for large height over a fixed number field. In this talk we describe a generalization of the latter result and some of its applications: for example to count multiplicative algebraic subgroups, or to count points of large height and fixed degree on a line.


timetable:
Wed 6 Jul, 10:00 - 11:00, Sala Conferenze Centro De Giorgi
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