Time: 17:15-18:45 (unusual time!)

Location: Mondi 3

Speaker 1: Yijie Diao (Browning group)
Title: Counting Integer Points on Varieties: The Determinant Method

Abstract: In this talk, we will consider the problem of counting integral points on varieties. We will introduce the Bombieri-Pila Theorem, which gives an essentially sharp upper bound on the number of integral points on irreducible algebraic curves of fixed degree. The main ingredient of the proof, recognized as a pioneer of the determinant method, has since become a powerful tool in analytic number theory.

Speaker 2: Sofia Backlund (Barton group)
Title: The isolation by distance model with a seed bank

Abstract: The isolation by distance model in population genetics is a model for a population of individuals evolving in a continuous space, considering discrete, non-overlapping generations. The Barton group has an ongoing long-term study of snapdragons, plants that were originally thought to be simple annuals. However, we now know they exhibit a seed bank, meaning the number of years between parents and offspring varies. In my project I am extending the classical isolation by distance model to include such a seed bank. My work includes mathematical modelling, simulations, data analysis and even fieldwork, and in this talk I would like to give you a taste of these. Disclaimer: may contain actual data.