General Meeting of the Society & Hardy Lecture 2023

Mary Ward House, London and online via Zoom, hosted by the LMS
Start date
Meeting Date
LMS Hardy Lecturer 2023: Eva Miranda (UPC, Barcelona) and Sir Roger Penrose FRS (Oxford)

LMS General Meeting & Hardy Lecture 2023

The lectures are aimed at a general mathematical audience. All interested, whether LMS members or not, are most welcome to attend this event.

Programme (all timings are in BST)

3.30 pm Opening of the meeting and LMS Business (open to all)

3.45 pm First Lecture: Sir Roger Penrose FRS (Oxford)


Abstract: To be announced

4.45pm Break

5.15 pm LMS Hardy Lecture 2023: Eva Miranda (UPC, Barcelona)

From Alan Turing to Fluid computers: Explored and unexplored paths.

Abstract:  The notion of Chaos was coined by Edward Lorenz in 1961 with the simple statement

"Chaos: When the present determines the future, but the approximate present does not approximately determine the future".

A different sort of chaos was discovered by Cris Moore in 1990 with a 2D Turing-type dynamical system via generalized shifts. The existence of a Turing machine associated with the dynamical system added a new intrigue to the plot: the undecidability of the halting problem (Alan Turing, 1936) yielded the impossibility of logical predictions in the new models.  However, those 2D  systems given by mappings on the square Cantor set are not realized by a physical system. Can a mechanical system (including a fluid flow) simulate a universal Turing machine?

In this talk, I will present a  3D physical (and/or "almost" physical) constructions of logical chaos using fluids. Against all expectations, the main ingredient of this construction is geometrical. It relies on a mirror, unveiled in 2000 by Etnyre and Ghrist, between Beltrami fields and Reeb vector fields native to contact geometry.

Many questions around such construction are pending, including the connection among different levels of complexity (dynamical and logical) and the (non)existence of a hierarchy among them.  The association of a “computer” to Fluid dynamics is a question which dates back to the work of Roger Penrose and Cris Moore and is connected to a recent  programme of Terence Tao to address the Navier-Stokes conjecture.  In his program. Tao speculates with the possibility of finding a counterexample to the Millennium problem using ideas closely related to Turing machines.

This construction of a "fluid computer" realizes the science fiction dream of Stanisław Lem in his novel Solaris. But could such a fluid computer be used to realize Tao’s dream?

6.15pm Close of meeting

6.30pm LMS Reception at Mary Ward House

7.30pm Society Dinner at The Wendy House, Bedford Hotel, Southampton Row


  • To attend in person, please complete the registration form here. Registration will close no later than 4.00pm on Thursday 15 June but if we reach capacity beforehand, then registration will close early and we open a waiting list. If you have any queries, please contact
  • To attend remotely, please complete the registration form here. Registration will close no later than 6.30pm on Friday 30 June. You will receive the link to the meeting upon registration, as well in an automated reminder email which will be sent closer to the time. If you have any queries, please contact
  • Reservations for the Society Dinner are sold out. If you would like to join the waiting, please contact
  • Travel/caring grants of up to £50 to support attending the Hardy Lecture are available to mathematicians who are based at neighbouring universities to those universities and would require financial support. If you require support, please complete the application form as soon as you can and at least 3 working days before the event. If you have any queries, please contact