Brad Rodgers (Queen's University)

Date

Monday March 13, 2023
4:30 pm - 5:30 pm

Location

Jeffery Hall, Room 319

Number Theory Seminar

Monday, March 13th, 2023

Time: 4:30 p.m.  Place: Jeffery Hall, Room 319

Speaker: Brad Rodgers (Queen's University)

Title: Prime factors, cycle decompositions, and Poisson-Dirichlet distributions

Abstract: In this expository talk we will discuss some of the similarities between the size of prime factors of a randomly chosen integer and the size of the cycles of a randomly chosen permutation. Topics I hope to include are Erdos-Kac type central limit theorems concerning the bulk of prime factors and analogous results for permutations, along with a discussion of the statistics of large prime factors and large cycles.