Department of Mathematics and Statistics

Department of Mathematics and Statistics
Department of Mathematics and Statistics

Number Theory Seminar


Wednesday, July 24th, 2019

Time: 3:30-4:30 p.m.  Place: Jeffery Hall 319

Speaker: Francesco Cellarosi (Queen's University)

Title: COMPUTING KRONECKER SYMBOLS IN THE UNIVERSAL COVER OF SL_2(R).

Abstract: The Kronecker symbol generalizes Jacobi and Legendre symbols, and is intimately connected to the theory of Dirichlet characters. For co-prime integers $c$ and $d$ such that $c \equiv 0 \bmod 4$ and $d \equiv 1 \bmod 4$, I will explain an algorithm to compute the Kronecker symbol $(c/d)$ using a free group inside the universal cover of SL_2(R). Joint work with J. Griffin.