Number Theory Seminar
Santiago Arango-Piñeros
Emory University
Trace distributions and Galois groups of Frobenius polynomials
Abstract: 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).
Friday December 6, 2024 at 9:00 AM in 636 SEO