Tue, 26 Nov 2019
15:30
L4

Degenerate Morse theory and quivers

Frances Kirwan
(Oxford)
Abstract


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.

Convergence of the Gradient Expansion in Hydrodynamics
 Grozdanov, S Kovtun, P Starinets, A Tadić, P Physical Review Letters volume 122 issue 25 (28 Jun 2019)
Mon, 18 Nov 2019

19:00 - 20:15

Oxford Mathematics London Public Lecture: Timothy Gowers - Productive generalization: one reason we will never run out of interesting mathematical questions SOLD OUT

Timothy Gowers and Hannah Fry
(University of Cambridge and UCL)
Further Information

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

Please email @email to register.

Watch live:
https://facebook.com/OxfordMathematics
https://livestream.com/oxuni/gowers

The Oxford Mathematics Public Lectures are generously supported by XTX Markets.

Design of vaccine efficacy trials during public health emergencies.
 Dean, N Gsell, P Brookmeyer, R De Gruttola, V Donnelly, C Halloran, M Jasseh, M Nason, M Riveros, X Watson, C Henao-Restrepo, A Longini, I Science translational medicine volume 11 issue 499 eaat0360 (Jul 2019)
Relaxation of spherical stellar systems
 Lau, J Binney, J Monthly Notices of the Royal Astronomical Society volume 490 issue 1 478-490 (21 Nov 2019)
The shearing sheet and swing amplification revisited
 Binney, J Monthly Notices of the Royal Astronomical Society volume 496 issue 1 767-783 (21 Jul 2020)
Guest Editorial: Special Issue on Database Theory
 Benedikt, M Theory of Computing Systems volume 63 issue 7 1572-1572 (17 Oct 2019)

Oxford Mathematics trio scoop LMS Prizes

Three Oxford Mathematicians have been awarded 2019 London Mathematical Society (LMS) Prizes.

Andrew Wiles has been awarded a De Morgan Medal for his seminal contributions to number theory and for his resolution of ‘Fermat’s Last Theorem’ in particular, as well as for his numerous activities promoting mathematics in general.

Subscribe to