Opportunities for postgraduates to meet colleagues from other departments and colleges are often limited. This society aims to provide a medium for postgraduates to meet and socialise outside of their college and department through mature drinks receptions and networking opportunities. Open to all masters, doctoral, and medicine Y4+ students as well as postdocs.
The University is taking part in the survey on Open and Transparent Research Practices, a national effort coordinated by the UK Reproducibility Network (UKRN). The survey is aimed at researchers across all disciplines, from postgraduate research students to professorial grades, and it seeks to assess perception and uptake of open research practices across the Collegiate University.
Congratulations to José. The medal is awarded by the Royal Academy of Exact, Physical and Natural Sciences of Spain in recognition of a scientific career.
16:00
Mass equidistribution for Siegel cusp forms of degree 2
Abstract
I will talk about some current work with Jesse Jaasaari and Steve Lester where we investigate the analogue of the Quantum Unique Ergodicity (QUE) conjecture in the weight aspect for Siegel cusp forms of degree 2 and full level. Assuming the Generalized Riemann Hypothesis (GRH) we establish QUE for Saito–Kurokawa lifts as the weight tends to infinity. As an application, we prove the equidistribution of zero divisors.
16:00
Explicit (and improved) results on the structure of sumsets
Abstract
Given a finite set A of integer lattice points in d dimensions, let NA denote the N-fold iterated sumset (i.e. the set comprising all sums of N elements from A). In 1992 Khovanskii observed that there is a fixed polynomial P(N), depending on A, such that the size of the sumset NA equals P(N) exactly (once N is sufficiently large, that is). In addition to this 'size stability', there is a related 'structural stability' property for the sumset NA, which Granville and Shakan recently showed also holds for sufficiently large N. But what does 'sufficiently large' mean in practice? In this talk I will discuss some perspectives on these questions, and explain joint work with Granville and Shakan which proves the first explicit bounds for all sets A. I will also discuss current work with Granville, which gives a tight bound 'up to logarithmic factors' for one of these properties.