Brad Rodgers (Queen's University)
Date
Monday March 13, 20234:30 pm - 5:30 pm
Location
Jeffery Hall, Room 319Event Category
Number Theory Seminar
Monday, March 13th, 2023
Time: 4:30 p.m. Place: Jeffery Hall, Room 319
Speaker: Brad Rodgers (¾ÅÐãÖ±²¥)
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.