Ram Murty (Queen's University)

Date

Thursday January 23, 2025
5:30 pm - 6:30 pm

Location

Jeffery Hall, Room 118

Math Club

Thursday, January 23rd, 2025

Time: 5:30 p.m.  Place: Jeffery Hall, Room 118

Speaker: Ram Murty (¾ÅÐãÖ±²¥)

Title: The 2-adic logarithm

Abstract: We will discuss how to make sense of the equation

$$\sum_{n=1}^\infty \frac{2^n}{n} = 0, $$

by entering the 2-adic world and studying the analog of the logarithm function there. In the process, we will discover there is a spectrum of p-adic worlds, one for each prime number p.  Like presiding deities of the known universe of numbers, these worlds hold many hidden secrets!