Overview

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The appearance of Probability in Number Theory can be traced back to a famous collaboration of Erdős and Kac. Nowadays, probabilistic techniques are routinely used in the study of integers and L-functions. However, until recently there had not been much room for modern and deep techniques of probability theory. During the past few years this has changed notably. Conversely, number theoretic techniques and heuristics have been proven effective in resolving standing problems in combinatorics and discrete probability theory. The goal of this month-long program is to bring together experts from Number Theory and Probability to highlight and facilitate the interactions between these two fields of mathematics.

WEEK MAY 14 TO 18 — The first week of the program (May 14 – 18) will be dedicated to a summer school featuring lecture series by Kevin Ford (Illinois), Adam Harper (Warwick), and K. Soundararajan (Stanford). We seek applications from young researchers to attend the school. Priority will be given to advanced PhD students and early PhD graduates.

Application for participation is now closed.

The remainder of the program will gather at CRM several of the leading experts in the fields of Probability and Number Theory. Among other things, we will run a frequent research seminar for the participants of our program.