About the Lectureship:
The LMS Hardy Lectureship is named after G.H. Hardy, former President of the Society and De Morgan Medallist. Originally awarded to a distinguished overseas mathematician in odd-numbered years.
The LMS Hardy Lecturer visits the UK for a period of about two weeks, and gives the Hardy Lecture at a Society meeting, normally held in London in July. The LMS Hardy Lecturer also gives at least six other lectures, on different topics, at other venues in the UK; the schedule is decided by the LMS Society, Lectures and Meetings Committee in consultation with the LMS Hardy Lecturer, and is designed to allow as many UK mathematicians as possible to benefit from the LMS Hardy Lecturer's presence in the UK.
From Alan Turing to contact geometry: towards a "Fluid computer.”
Is hydrodynamics capable of performing computations? (Moore, 1991).
Can a mechanical system (including a fluid flow) simulate a universal Turing machine? (Tao, 2016).
Etnyre and Ghrist unveiled a mirror between contact geometry and fluid dynamics reflecting Reeb vector fields as Beltrami vector fields. With the aid of this mirror, we can answer in the positive the questions raised by Moore and Tao. This is done by combining techniques from Alan Turing with modern Geometry (contact geometry) to construct a "Fluid computer" in dimension 3. This construction shows, in particular, the existence of undecidable fluid paths. Tao's question was motivated by a research program to address the Navier–Stokes existence and smoothness problem. Could such a Fluid computer be used to address this Millennium prize problem?
Eva Miranda is a Full Professor at Universitat Politècnica de Catalunya, specializing in Differential Geometry, Mathematical Physics, and Dynamical Systems. She has been honored with several prestigious awards, including two ICREA Academia Prizes in 2016 and 2021, a 2017 Chaire d'Excellence of the FSMP in Paris, a Bessel Prize in 2022, and the François Deruyts Prize in 2022.
Eva's lecture is one of several taking place during the day as part of the Royal Institution's 'Navier-Stokes regularity, fluid computing & machine learning (Ch.1)' workshop'
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