Dec 6 2024

Number Theory Seminar: Trace distributions and Galois groups of Frobenius polynomials, by Santiago Arango-Piñeros

December 6, 2024

9:00 AM - 9:50 AM

Location

612 SEO

Address

Chicago, IL

Santiago Arango-Piñeros (Emory University): Trace distributions and Galois groups of Frobenius polynomials

I will discuss the multiplicative group generated by the roots of a monic polynomial with integer coefficients. In particular, I will focus on polynomials that arise as the characteristic polynomial of the Frobenius endomorphism of an abelian variety defined over a finite field. I will discuss some recent results and applications obtained in joint work with Bhamidipati and Sankar (https://arxiv.org/abs/2306.02237), and with Frengley and Vemulapalli (https://sarangop1728.github.io/GaloisGroupsFrobPolys_version0.pdf).

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Contact

Frederick Saia

Date posted

Dec 1, 2024

Date updated

Dec 1, 2024

Speakers