4.15-4.30: Refreshments and Welcome
4.30-4.55: Speaker 1: Max Anderson Loake
Title: Geospatial Bayesian Methods for Earthquake Impact Estimation
Abstract: In the first hours and days following an earthquake, initial estimates of the humanitarian impact play a critical role in the coordination of response and relief efforts. We develop a new tool, the Oxford Disaster Displacement Information Network (ODDRIN), that combines real-time earthquake intensity data with existing open-source population data to provide spatial estimates of humanitarian impacts such as mortality and displacement. The model is fitted using data from past events within an Approximate Bayesian Computation Sequential Monte Carlo (ABC SMC) framework, and estimates therefore benefit from the uncertainty quantification provided by Bayesian methodologies.
5.00-5.25: Speaker 2: Sungkyung Kang
Title: Knots and surfaces in four dimensions
Abstract: Classically, knot theory is about knotted circles in three-dimensional space. However, if we consider the that space as a boundary of a four-dimensional space and consider which surfaces bound the given knot, the theory becomes much more complicated. In this talk, we will discuss various interesting phenomena that arise in four dimensions.
5.30-5.55: Speaker 3: Simon Martina-Perez
Title: Using mathematical modelling and deep learning to distinguish the impact of individual genes on the invasiveness of human melanoma cells
Abstract: the collective invasion of cells into other tissues or extracellular environments is the hallmark of many biological processes in development, regeneration, and pathology. It is well known that many types of cells that are involved in invasion have a distinctive genetic expression, but understanding the role of each of these genes on how invasive cells will be remains challenging. In this talk, we show how detailed mathematical modelling, together with deep learning approaches, can yield insights into how individual genes affect the migratory properties of c8161 (metastatic human melanoma) cells, and change the way in which cells interact with their neighbours.
6.00-6.25: Speaker 4: Tao Wang, Wuhan University
Title: Vortex Sheets in Fluid Dynamics
Abstract: Vortex sheets are interfaces between two incompressible or compressible inviscid flows across which there is a discontinuity in fluid velocity. They arise in a broad range of physical problems in fluid mechanics, aerodynamics, oceanography, and plasma physics. In particular, for compressible flows, vortex sheets are building blocks of general entropy solutions of multidimensional hyperbolic systems of conservation laws. Analyzing the existence and stability of compressible vortex sheets may shed light on the understanding of fluid dynamics and the behavior of entropy solutions. Every vortex sheet for incompressible fluids without surface tension is unstable thanks to the works of Helmholtz (1868) and Kelvin (1894). This is the well-known Kelvin-Helmholtz instability. In contrast, it was observed by Landau (1944) and Miles (1958) that two-dimensional vortex sheets for compressible fluids can be linearly stable in certain region. A rigorous mathematical theory on the linear and nonlinear stability of two-dimensional supersonic vortex sheets was established by Coulombel and Secchi (2008). In this talk, I will present the joint work with Gui-Qiang G. Chen and Paolo Secchi on the nonlinear stability of relativistic vortex sheets in three-dimensional Minkowski spacetime and other related results.
6.30-6.55: Refreshments and Discussions
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