4:00pm ̶ 4:15pm: Coffee, Drinks & Refreshments
4:15pm ̶ 4:40pm: Professor Didier Bresch (Keble Senior Visiting Scholar, CNRS and Université Savoie Mont-Blanc, France)
Title: Complex Flows : Some Mathematical Open Questions?
Abstract: Developing fundamental research aimed at better understanding the key criteria governing the evolution and dynamics of ground movements is a significant scientific challenge. Landslides cover a wide variety of forms such as debris avalanches, mudflows, collapses, rockfalls, landslides, coastal erosion… These are complex flows, composed of solid particles densely suspended in one or more fluids, whose size and nature vary considerably. I will describe some open mathematical problems that we are working on in the Complexflows project of the PEPR Maths ViVEs France 2030.
4:45pm – 5:10pm: Dr Leoni Wirth (Keble College & Department of Statistics, University of Oxford)
Title: Goodness-of-Fit Testing for Point Processes
Abstract: Point processes provide a flexible framework for modeling spatial events, such as disease cases in an epidemiological study or cells in biological tissue. They are especially useful because they can capture how events influence each other’s locations, leading to patterns like clustering or repulsion.
For practical use, it is important to know whether a chosen model actually reflects the patterns seen in the data. In this talk, I will present ongoing work on such a test for spatial point process models using a so-called kernelized Stein discrepancy. This approach enables the development of tests that can detect interactions between points, whereas many traditional methods work well only for fairly uniform patterns with little or no interaction. I will outline the difficulties introduced by spatial interaction and, time permitting, demonstrate how the discrepancy can capture these effects.
5:15pm ̶ 5:40pm: Coffee, Drinks & Refreshments
5:40pm ̶ 6:05pm: Professor Difan Yuan (Beijing Normal University & University of Oxford)
Title: Euler–Poisson Equations: From Nebulae to Mathematical Theory
Abstract: The Euler–Poisson equations form an important class of hyperbolic systems of conservation laws. They describe the motion of a compressible fluid under external forces generated by an electric field, or under its own self-gravitational potential. These equations arise in a range of real-world settings, including nebular dynamics and the formation of galaxies and giant planets. In this talk, I will give a brief overview of the mathematical theory of the Euler–Poisson system and then introduce some recent progress.
6:05pm ̶ 6:30pm: Dr Giulia Celora (Mathematical Institute, University of Oxford)
Title: TBA (Applied Mathematics)
Abstract: TBA
6:35pm ̶ 7:00pm: Discussion
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