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Seminar

MT Research Seminar: Multiplicative order mod p : problems and some results May 06, 2014 (01:30 PM PDT - 03:00 PM PDT)
Parent Program: Model Theory, Arithmetic Geometry and Number Theory
Location: MSRI: Simons Auditorium
Speaker(s) Mei-Chu Chang (University of California)
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The questions considered belong to the general theme of 'unlikely intersections' but in this talk we focus on various instances in the mod p setting, where p is a large prime.

We will discuss in particular mod p versions of Lang's conjecture on torsion points on varieties and related questions. Generally speaking, in absence of a direct finite field approach, our basic method consists in lifting the problem to a number field and then rely on finiteness results in this setting. The conclusions for individual p are rather weak but much stronger for 'almost all p'.

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