In this talk we will discuss a new approach to non rationality of projective varieties based on HMS. Examples will be discussed.
In this talk I will discuss a new proposal for constructing quantizations of holomorphic Poisson structures, and generalized complex manifolds more generally, which is based on using the A model of an associated symplectic manifold known as a Morita equivalence. This construction will be illustrated through the example of toric Poisson structures.
This talk is an update on joint work with Geoff Penington on extending Morse theory to smooth functions on compact manifolds with very mild nondegeneracy assumptions. The only requirement is that the critical locus should have just finitely many connected components. To such a function we associate a quiver with vertices labelled by the connected components of the critical locus. The analogue of the Morse–Witten complex in this situation is a spectral sequence of multicomplexes supported on this quiver which abuts to the homology of the manifold.
Oxford Mathematics is part of the Mathematical, Physical and Life Sciences Division (MPLS) here in Oxford and every year the division gives teaching and equality and diversity awards in recognition of the fact that teaching and the learning environment are at the very core of what we are about and from where all future success will derive.
Productive generalization: one reason we will never run out of interesting mathematical questions.
Tim Gowers is one of the world's leading mathematicians. He is a Royal Society Research Professor at the Department of Pure Mathematics and Mathematical Statistics at the University of Cambridge, where he also holds the Rouse Ball chair, and is a Fellow of Trinity College, Cambridge. In 1998, he received the Fields Medal for research connecting the fields of functional analysis and combinatorics.
After his lecture Tim will be in conversation with Hannah Fry. Hannah is a lecturer in the Mathematics of Cities at the Centre for Advanced Spatial Analysis at UCL. She is also a well-respected broadcaster and the author of several books including the recently published 'Hello World: How to be Human in the Age of the Machine.'
This lecture is in partnership with the Science Museum in London where it will take place.
Science Museum, Exhibition Road, London, SW7 2DD
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The Oxford Mathematics Public Lectures are generously supported by XTX Markets.
The Institute of Physics and Engineering in Medicine has announced the winners of the Martin Black Prize for 2019, which is awarded for the best paper published in Physiological Measurement.
