Tuesday March 25th---Thursday March 27th 2025

A three day workshop at the University of Warwick, bringing together number theorists and probabilists.

About this workshop

Multiplicative chaos is a fundamental object in probability and mathematical physics, dating back to work of Kahane in the 1980s. In the last decade or so, our understanding of multiplicative chaos has greatly expanded, especially in the delicate case of so-called critical chaos. It has also been realised that there are very close connections between this object and fundamental problems in analytic number theory, including the value distribution of the Riemann zeta function and L-functions; the size of Dirichlet character sums; and many questions involving random multiplicative functions.

The goal of this workshop is to bring together number theorists and probabilists interested in this exciting interface, including early career mathematicians and others fairly new to the area, to share recent progress and open questions.

Invited speakers

Louis-Pierre Arguin (Oxford)

Emma Bailey (Bristol) TBC

Ofir Gorodetsky (Technion, Haifa)

Oleksiy Klurman (Bristol)

Youness Lamzouri (Lorraine)

Joseph Najnudel (Bristol)

Ellen Powell (Durham)

Eero Saksman (Helsinki)

Vincent Vargas (Geneva) TBC

Victor Wang (IST Austria)

Christian Webb (Helsinki)

Mo Dick Wong (Durham)

Max Xu (Courant Institute, New York) TBC

Registration

If you would like to participate in the workshop, please freely register.

Practicalities

The workshop will begin mid-morning on Tuesday 25th, and end mid-afternoon on Thursday 27th. All talks will take place in the Zeeman Building at the University of Warwick.

Tea/coffee and lunch will be provided each day for registered participants, and a conference dinner will be held on the evening of Wednesday 26th.

Contact

If you have any queries about this workshop, please contact Prof. Adam Harper: a.harper@warwick.ac.uk

Funding acknowledgement

We gratefully acknowledge support from EPSRC grant number EP/V055755/1, and from the MRC at the University of Warwick.