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BEGIN:VEVENT
UID:2023040110451220230331T12000020230331T1250006428b3f831eb8@uic.edu
CATEGORIES:MEETING
STATUS:TENTATIVE
DTSTAMP:20230401T051829
DTSTART:20230331T120000
DTEND:20230331T125000
SUMMARY:Number Theory Seminar: Distribution problems associated to abelian varieties, by Tian Wang
DESCRIPTION:Tian Wang (University of Illinois at Chicago): Distribution problems associated to abelian varieties Given an abelian variety $A$ defined over $\mathbb{Q}$, we look at its reduction $A_p$ at an arbitrary prime $p$ and study the distribution of $A_p$ with specific properties. For example, the Lang-Trotter Conjecture about an abelian variety $A$ of dimension $1$ and its generalizations to an abelian variety $A$ of higher dimension concern the distribution of $A_p$ having a prescribed Frobenius trace, while the Murty-Patankar Conjecture about an absolutely simple abelian variety $A$ concerns the distribution of $A_p$ having split reduction. In this talk, I will discuss new upper bounds for the counting functions related to the aforementioned conjectures. Please click here to make changes to, or delete, this seminar announcement. | Event post: https://mscs.uic.edu/events?page_id=5086679
LOCATION:612 SEO Chicago IL
CLASS:PRIVATE
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