Home /  DDC - Diophantine Problems: Applications of points on subvarieties of tori

Seminar

DDC - Diophantine Problems: Applications of points on subvarieties of tori December 14, 2020 (09:00 AM PST - 10:00 AM PST)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Peter Sarnak (Princeton University)
Description

This seminar will focus on Diophantine problems in a broad sense, with a view towards (but not limited to) interactions between Number Theory and Logic. Particular attention will be given to topics with the potential of further developments in the context of this MSRI scientific program. This will provide an opportunity for researchers to update on new results, techniques and some of the main problems of the field.

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Applications Of Points On Subvarieties Of Tori

Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25206

Abstract: The intersection of the division group of a finitely generated subgroup of a torus with an algebraic sub-variety has been understood for some time (Lang, Laurent ..). After a brief review of some of the tools in the analysis and their recent extensions (André-Oort conjectures), we give some old and new applications; in particular to the additive structure of the spectra of metric graphs and crystalline measures.

The last is joint work with P. Kurasov.

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Applications Of Points On Subvarieties Of Tori

H.264 Video 25180_28678_8683_Applications_of_Points_on_Subvarieties_of_Tori.mp4