Number Theory Seminar: Trace distributions and Galois groups of Frobenius polynomials, by Santiago Arango-Piñeros
December 6, 2024
9:00 AM - 9:50 AM
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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Date posted
Dec 1, 2024
Date updated
Dec 1, 2024