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College of Liberal Arts and Sciences | Mathematics

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November 15, 2018 | 2:00 p.m. - 3:00 p.m.
Category: Seminar
Location: Faculty/Administration #1140 | Map
656 W. Kirby
Detroit, MI 48202
Cost: Free

Speaker: Luca Candelori, Assistant Professor, Wayne State University

Title: Transcendence of periods and endomorphism algebras of Jacobian varieties

Abstract: In this talk I will describe a new method to bound the number of linear relations with algebraic coefficients between the periods of an algebraic curve. As shown by Shiga and Wolfart, these bounds provide information regarding the dimension of the endomorphism algebra of the corresponding Jacobian variety. I will explain how to employ these new bounds to explore two of the many open questions about endomorphism algebras of Jacobians: which Jacobians have complex multiplication, and which Jacobians are totally decomposable.

For more information about this event, please contact Department of Mathematics at 3135772479 or math@wayne.edu.