General Meeting of the Society & Hardy Lecture 2020

Zoom, hosted by the Society with support from the ICMS.
Meeting Time: 
Hardy Lecturer 2020: Peter Sarnak (IAS, Princeton) “Gap Sets for the Spectra of Cubic Graphs”

LMS General Meeting & Hardy Lecture 2020

The lectures are aimed at a general mathematical audience. All interested, whether LMS members or not, are most welcome to attend this event.


3.30 pm Opening of the meeting and LMS Business (open to all)

Election of the LMS Honorary Members in 2020

Announcement of the 2020 LMS Prize winners

Agenda and Papers


4.00 pm Hardy Lecture 2020:  Peter Sarnak (IAS, Princeton)

Gap Sets for the Spectra of Cubic Graphs

Abstract: The spectra of large locally uniform geometries have been studies widely and from different points of view, not least in applications. These include Ramanujan Graphs and Buildings, Euclidean and hyperbolic spaces and more general locally symmetric spaces. We review some of these briefly, highlighting ridigity features. We then focus on the simplest case of finite cubic graphs which prove to be surprisingly rich. As one imposes restrictions on these graphs, planarian, fullerenes,.. their spectra become rigid.

Registration: Registration closed here.

Graduate Student Meeting

Location: Zoom

Meeting Date: 
Friday, 19 June, 2020  Meeting Time: 3.00 pm

This meeting was intended as an introduction to the Society Meeting on 26 June 2020.  All graduate students (and indeed any other mathematicians) welcome.

3.00 Opening of Meeting and Welcome

Professor Peter Varju (Cambridge)

Title: Random polynomials and random walks.

Abstract: I will talk about two problems and their connection. The first problem is concerned with the probability that a random polynomial is irreducible. We will consider the model of random polynomials where the coefficients are independent and have a fixed distribution while the degree goes to infinity. The second problem is concerned with random walks in finite fields whose steps consist of multiplication by a deterministic element followed by addition of a random element drawn from a fixed distribution.

Registration closed