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Some specialization problems in Geometry and Number Theory

Speaker: Umberto Zannier

Date: Fri, Mar 2, 2018

Location: PIMS, University of British Columbia

Conference: PIMS-UBC Math Distinguished Colloquium

Subject: Mathematics, Number Theory

Class: Scientific

Abstract:

We shall survey over the general issue of `specializations which preserve a property', for a parametrized family of algebraic varieties. We shall limit ourselves to a few examples. We shall start by recalling typical contexts like Bertini and Hilbert Irreducibility theorems, illustrating some new result. Then we shall jump to much more recent instances, related to algebraic families of abelian varieties.

** Please note, this video was recorded using an older in room system and has substantially diminished video quality.**