A moment with L-functions
Join WiM on February 28, 2023, for a 45 Minute talk with Professor Matilde Lalín followed by a Q&A session and refreshments.
Register today to attend the WiM Winter Colloquium 2023.
This event is open to all students and other members of the faculty of mathematics and their friends.
Abstract
The Riemann zeta function plays a central role in our understanding of prime numbers. In this talk, we will review some of its amazing properties as well as properties of other similar functions, the Dirichlet L-functions. We will then see how the method of moments can help us in the study of L-functions and some surprising properties of their values. Finally, we will present some recent results about L-functions associated with cubic characters.
Speaker
Matilde Lalin
Professor, Université de Montréal
Biography
Matilde Lalín received her PhD in 2005 from the University of Texas at Austin and is currently a professor at the Université de Montréal and the Vice-President Quebec of the CMS. She is involved with several initiatives whose aim is to encourage the participation of women and members of underrepresented groups in mathematics, including the Committees for Women in Mathematics of the CMS and of the IMU and the Women in Numbers Network. Her research interests lie in Number Theory and related areas and they include L-functions, Mahler measure, and arithmetic statistics over function fields, and she has written more than 60 articles on these topics. She received the 2022 Krieger-Nelson prize from the CMS and has been recently named Fellow of both the AMS and the CMS.