Wed, 25 Nov 2015

17:00 - 18:00
L1

Symmetry, Spaces and Undecidability

Professor Martin Bridson
(Department of Mathematics)
Abstract
Oxford Mathematics Public Lectures - Chairman's Inaugural Public Lecture

 

Symmetry, Spaces and Undecidability 

Professor Martin Bridson

 

Martin Bridson became Head of the Mathematical Institute on 01 October 2015. To mark the occasion he will be giving an Inaugural Chairman's Public Lecture. 

 

When one wants to describe the symmetries of any object or system, in mathematics or everyday life, the right language to use is group theory. How might one go about understanding the universe of all groups and what kinds of novel geometry might emerge as we explore this universe?

 
The understanding of the possible geometries in dimension 3 is one of the triumphs of 20th century mathematics. Martin will explain why such an understanding is impossible in higher dimensions.
 

To register email @email

 

25 November 2015

5.00-6.00pm

Lecture Theatre 1

Mathematical Institute

Oxford

 

Martin Bridson is the Whitehead Professor of Pure Mathematics at the University of Oxford

 

Wed, 14 Oct 2015

17:00 - 18:30
L1

M C Escher - Artist, Mathematician, Man

Roger Penrose and Jon Chapman
(Oxford)
Abstract

Oxford Mathematics Public Lectures

MC Escher - Artist, Mathematician, Man 

Roger Penrose and Jon Chapman

This lecture has now sold out

The symbiosis between mathematics and art is personified by the relationship between Roger Penrose and the great Dutch graphic artist MC Escher. In this lecture Roger will give a personal perspective on Escher's work and his own relationship with the artist while Jon Chapman will demonstrate the mathematical imagination inherent in the work. 

The lecture will be preceded by a showing of the BBC 4 documentary on Escher presented by Sir Roger Penrose. Private Escher prints and artefacts will be on display outside the lecture theatre.

5pm

Lecture Theatre 1

Mathematical Institute

Andrew Wiles Building

Radcliffe Observatory Quarter

Woodstock Road

OX2 6GG

 

Roger Penrose is Emeritus Rouse Ball Professor at the Mathematical Institute in Oxford

 

Jon Chapman is Statutory Professor of Mathematics and Its Applications at the Mathematical Institute in Oxford

Fri, 27 Nov 2015

16:00 - 17:00
L1

Are Black Holes Real ?

Sergiu Klainerman
(Princeton University, NJ)
Abstract

The talk will consider three well-defined problems which can be interpreted as mathematical tests of the physical reality of black holes: Rigidity, stability and formation of black holes.

Fri, 12 Feb 2016

16:00 - 17:00
L1

From particle systems to Fluid Mechanics

Isabelle Gallagher
(University of Paris-Diderot)
Abstract

The question of deriving Fluid Mechanics equations from deterministic
systems of interacting particles obeying Newton's laws, in the limit
when the number of particles goes to infinity, is a longstanding open
problem suggested by Hilbert in his 6th problem. In this talk we shall
present a few attempts in this program, by explaining how to derive some
linear models such as the Heat, acoustic and Stokes-Fourier equations.
This corresponds to joint works with Thierry Bodineau and Laure Saint
Raymond.

Thu, 01 Oct 2015

17:00 - 18:00
L1

Dancing Vortices

Étienne Ghys
(Ecole Normale Superieure, Lyons)
Abstract
Oxford Mathematics Public Lectures
 
This lecture has now sold out
 
There will be a special public lecture at 5pm on October 1 in the Andrew Wiles Building at Oxford University, during the week of the Clay Mathematics Institute’s annual Research Conference.  The lecture will be given in English by the French Mathematician Étienne Ghys and will be designed for A-level students (and above). After the lecture, Professor Ghys will be presented with the first Clay Award for the Dissemination of Mathematical Knowledge.
 
Abstract 
Nineteenth century observations of the behaviour of smoke rings and fluid vortices inspired an ingenious but misconceived model of the atom, a flawed proposal that nonetheless gave birth to the modern theory of knots. The chain of ideas has now come full circle with recent theoretical and experimental results on the existence of knotted vortices.
 
Clay Award for Dissemination 

The first Clay Award for Dissemination of Mathematical Knowledge has been made to Étienne Ghys in recognition of his own important contributions to mathematical research and for his distinguished work in the promotion of mathematics. 

Étienne Ghys  is a CNRS Directeur de Recherche at ENS, Lyon.  He has published outstanding  work in his own fields of geometry and dynamics,  both under his own name and under the collaborative pseudonym “Henri Paul de Saint Gervais”—contributions recognised by invitations to speak at the International Congress in 1990 and by his elevation to the French Académie des Sciences in 2004.  He has also given invaluable service to the international mathematical community in many contexts, as a member of the program committee for the ICM in Hyderabad, as a member of the Fields Medal committee in 2014, and through service on many other bodies. 

But it  is through his work in the promotion of mathematics in France and elsewhere that he has become a legend.  He has given numerous carefully crafted lectures to audiences ranging from school children to delegates at the International Congress in 2006, when he gave a beautiful and exceptionally clear plenary lecture on Knots and dynamics.  He has enthusiastically embraced modern technology to aid the exposition of deep ideas, for example during his editorship of Images des mathématiques, which he transformed to an online publication in 2009, and which received more than five million visits over his five-year term of office. He himself has written more than 90 articles for Images, as well as a monthly column in Le Monde.  

He created with others the Maison de mathématiques et informatique  in Lyon and co-founded, with Dierk Schleicher, the International summer school of mathematics for young students. His series of films, produced with Aurélien Alvarez and Jos Leys and published as DVDs and online in many languages, has had a huge impact on high school students.  The first, Dimensions, has been downloaded more than a million times.

 

Tue, 23 Jun 2015

15:30 - 16:30
L1

Analytic and Arithmetic Geometry Workshop: Quasi-abelian categories in analytic geometry

Federico Bambozzi
(University of Regensburg)
Abstract

I will describe a categorical approach to analytic geometry using the theory of quasi-abelian closed symmetric monoidal categories which works both for Archimedean and non-Archimdedean base fields. In particular I will show how the weak G-topologies of (dagger) affinoid subdomains can be characterized by homological method. I will end by briefly saying how to generalize these results for characterizing open embeddings of Stein spaces. This project is a collaboration with Oren Ben-Bassat and Kobi Kremnizer.

Tue, 23 Jun 2015

14:00 - 15:00
L1

Analytic and Arithmetic Geometry Workshop: Overconvergent global analytic geometry

Frederic Paugam
(Institut de Mathématiques de Jussieu (Paris 7))
Abstract

We will discuss our approach to global analytic geometry, based on overconvergent power series and functors of functions. We will explain how slight modifications of it allow us to develop a derived version of global analytic geometry. We will finish by discussing applications to the cohomological study of arithmetic varieties.

Tue, 23 Jun 2015

10:00 - 11:00
L1

Analytic and Arithmetic Geometry Workshop: Variations on quadratic Chabauty

Jennifer Balakrishnan
(Oxford University)
Abstract

We describe how p-adic height pairings allow us to find integral points on hyperelliptic curves, in the spirit of Kim's nonabelian Chabauty program. In particular, we discuss how to carry out this ``quadratic Chabauty'' method over quadratic number fields (joint work with Amnon Besser and Steffen Mueller) and present related ideas to find rational points on bielliptic genus 2 curves (joint work with Netan Dogra).

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