p-adic unlikely intersection results and consequences

Algebra and Number Theory Seminar
Event time: 
Tuesday, September 28, 2021 - 10:30am
Serban Vlad
Speaker affiliation: 
Event description: 

The Mordell-Lang conjecture (a theorem) is an "unlikely intersection" result stating that an irred. subvariety of a semi-abelian variety G that has dense intersection with the divisible hull of a finitely generated subgroup of G must in fact be the translate of a subgroup variety of G. We present certain p-adic incarnations of this result, chiefly in the context of formal groups Gˆ. Moreover, we outline some consequences to density questions arising via p-adic variational techniques within the Langlands programme.

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