evolution problems
12:00
A modeling perspective on retinal degeneration
Abstract
This talk introduces an ongoing research project focused on building mechanistic models to study retinal degeneration, with a particular emphasis on the geometric aspects of the disease progression.
As we develop a computational model for retinal degeneration, we will explore how cellular materials behave and how wound-healing mechanisms influence disease progression. Finally, we’ll detail the numerical methods used to simulate these processes and explain how we work with medical data.
Ongoing research in collaboration with the group of M. Paques (Paris Eye Imaging - Quinze Vingts National Ophthalmology Hospital and Vision Institute).
Please see the following link for info on an exciting PhD opportunity with the University of Reading that harnesses the power of mathematics to address the issues presented by climate change:
https://www.reading.ac.uk/maths-and-stats/phd/mathematics-for-our-futur…
Will you be within reasonable travelling distance to the Birmingham NEC in late June? If so, read on.
This year the IMA returns to the Big Bang Fair, which is the largest celebration of science, technology, engineering and maths (STEM) for young people in the UK. This year it takes place on Tuesday 17-Thursday 19 June 2025 at the Birmingham NEC. The Fair’s aim is to show young people (aged 11-14) how many exciting and rewarding opportunities there are out there for them with the right experience and qualifications.
12:00
Recent progress on the structure of metric currents.
Abstract
The goal of the talk is to give an overview of the metric theory of currents by Ambrosio-Kirchheim, together with some recent progress in the setting of Banach spaces. Metric currents are a generalization to the metric setting of classical currents. Classical currents are the natural generalization of oriented submanifolds, as distributions play the same role for functions. We present a structure result for 1-metric currents as superposition of 1-rectifiable sets in Banach spaces, which generalizes a previous result by Schioppa. This is based on an approximation result of metric 1-currents with normal 1-currents. This is joint work with D. Bate, J. Takáč, P. Valentine, and P. Wald (Warwick).