LMS Hardy Lectureship 2023: Professor Eva Miranda (UPC, Barcelona) - Edinburgh

Yew Lecture Theatre, The Nucleus Building, The University of Edinburgh, Thomas Bayes Rd, Edinburgh EH9 3FG
Start date
Professor Eva Miranda (UPC, Barcelona)

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 Symplectic to Poisson manifolds and back

b-Structures and other generalizations (such as E-symplectic structures) are ubiquitous and sometimes hidden, unexpectedly, in a number of problems including the space of pseudo-Riemannian geodesics and regularization transformations of the three-body problem.E-symplectic manifolds include symplectic manifolds with boundary,
manifolds with corners, compactified cotangent bundles and regular symplectic foliations.  Their deformation quantization was studied à la Fedosov by Nest and Tsygan. How general can such structures be? In this talk, I first explain how to associate an E-symplectic structure
to a Poisson structure with transverse structure of semisimple type (joint work with Ryszard Nest) and I will connect this to a result by Cahen, Gutt and Rawnsley on tangential star products.  This result illustrates how E-symplectic manifolds serve as a trampoline to the
investigation of the geometry of Poisson manifolds and the different facets of their quantization. This should let us address a number of open questions in Poisson Geometry and the study of its quantization from a brand-new perspective.


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.


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