University of Connecticut

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Algebra Seminar
Sato-Tate Distributions And Identities Of Symplectic Characters
Kyu-Hwan Lee (University Of Connecticut)

Wednesday, October 28, 2020
11:15am – 12:05pm

Storrs Campus

The Sato$$--$$Tate distributions for genus $$2$$ curves (conjecturally) describe the statistics of numbers of rational points on the curves. In this talk, we explicitly compute the auto-correlation functions of Sato$$--$$Tate distributions for genus $$2$$ curves as sums of irreducible characters of symplectic groups. Our computations bring about families of identities involving irreducible characters of symplectic groups, which have interest in their own rights.

Please contact the organizer for the WebEx link.


Algebra Seminar (primary), College of Liberal Arts and Sciences, UConn Master Calendar

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