Nov 8 2019

Number Theory Seminar: Sato-Tate groups of trinomial hyperelliptic curves, by Heidi Goodson

November 8, 2019

9:30 AM - 10:20 AM

Location

1227 SEO

Address

Chicago, IL

Heidi Goodson (Brooklyn College, CUNY, Brooklyn, NY): Sato-Tate groups of trinomial hyperelliptic curves

Let $C_m: y^2=x^m+c$ be a smooth projective curve defined over $\mathbb Q$.
We would like to study the limiting distributions of the coefficients of the normalized L-polynomial for $C_m$.
To determine the distributions, we study the Sato-Tate groups of the Jacobians of the curves. In this talk,
I will give both general results and explicit examples of Sato-Tate groups for certain curves $C_m$.
I will then use these groups to determine the limiting distributions of the coefficients of the normalized
L-polynomial. This is joint work with M. Emory.

The seminar lasts 80 minutes (9:30am-10:50am).

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Contact

Alina Carmen Cojocaru

Date posted

Nov 12, 2019

Date updated

Nov 12, 2019

Speakers

Heidi Goodson | (Brooklyn College, CUNY, Brooklyn, NY)