Noncommutative geometry aims to carry over geometrical concepts to a new class of spaces whose algebras of functions are no longer commutative. The central idea goes back to quantum mechanics, where classical observables such as position and momenta no longer commute. In recent years it has become appreciated that such noncommutative spaces retain a rich topology and geometry expressed first of all in K-theory and K-homology, as well as in finer aspects of the theory. The subject has also been approached from a more algebraic side with the advent of quantum groups and their quantum homogeneous spaces.
The subject in its modern form has also been connected with developments in several different fields of both pure mathematics and mathematical physics. In mathematics these include fruitful interactions with analysis, number theory, category theory and representation theory. In mathematical physics, developments include the quantum Hall effect, applications to the standard model in particle physics and to renormalization in quantum field theory, models of spacetimes with noncommuting coordinates. Noncommutative geometry also appears naturally in string/M-theory. The programme will be devoted to bringing together these different streams and instances of noncommutative geometry, as well as identifying new emerging directions.
Three main themes of the programme will be reflected in workshops in July, September and December of 2006, covering noncommutative geometry and cyclic cohomology, noncommutative geometry and fundamental physics, and new directions in noncommutative geometry respectively.
Click here to download the programme's final scientific report
Title | Year | Programme | |
---|---|---|---|
Geometrization of the strong Novikov conjecture for residually finite groupsAuthors: G Gong, Q Wang, G Yu |
2006 | NCG | 21 October 2016 |
Dyson Schwinger equations: From Hopf algebras to number theoryAuthors: Dirk Kreimer |
2006 | NCG | 21 October 2016 |
Noncommutative Batalin-Vilkovisky geometry and matrix integralsAuthors: S Barannikov |
2006 | NCG | 21 October 2016 |
The isospectral Dirac operator on the 4-dimensional quantum euclidean sphereAuthors: Ludwik Dabrowski, G Landi, Francesco D'Andrea |
2006 | NCG | 21 October 2016 |
Noncommutative resolutions and rational singularitiesAuthors: Michel van den Bergh, J Toby Stafford |
2006 | NCG | 21 October 2016 |
A class of noncommutative projective surfacesAuthors: J Toby Stafford, Daniel Rogalski |
2006 | NCG | 21 October 2016 |
Naive noncommutative blowups at zero-dimensional schemesAuthors: Daniel Rogalski, J Toby Stafford |
2006 | NCG | 21 October 2016 |
Matched pairs approach to set theoretic solutions of the Yang-Baxter equationAuthors: Tatiana Gateva-Ivanova, Shahn Majid |
2006 | NCG | 21 October 2016 |
Bar categories and star operationsAuthors: Shahn Majid, Edwin Beggs |
2006 | NCG | 21 October 2016 |
Quantisation of twistor theory by cocycle twistAuthors: Shahn Majid, SJ Brain |
2006 | NCG | 21 October 2016 |
Set theoretic solutions of the Yang-Baxter equation, graphs and computationsAuthors: Tatiana Gateva-Ivanova, Shahn Majid |
2006 | NCG | 21 October 2016 |
$\ast$-compatible connections in noncommutative Riemannian geometryAuthors: Shahn Majid, Edwin Beggs |
2006 | NCG | 21 October 2016 |
31 July 2006 to 4 August 2006
4 September 2006 to 8 September 2006
18 December 2006 to 22 December 2006
16 April 2012 to 20 April 2012
Thursday 27th July 2006 | |||
---|---|---|---|
14:00 to 15:00 |
Tom Hadfield Queen Mary University of London |
Room 2 |
Friday 28th July 2006 | |||
---|---|---|---|
14:00 to 15:00 | Room 2 | ||
15:30 to 16:30 |
Piotr Mieczyslaw Hajac |
Room 2 |
Wednesday 9th August 2006 | |||
---|---|---|---|
14:00 to 15:00 |
Zinaida Lykova University of Newcastle upon Tyne |
Room 1 |
Thursday 10th August 2006 | |||
---|---|---|---|
16:30 to 17:30 |
Ryszard Nest Københavns Universitet (University of Copenhagen) |
Room 1 |
Tuesday 15th August 2006 | |||
---|---|---|---|
15:30 to 16:30 |
Iain Gordon University of Edinburgh |
Room 1 |
Wednesday 16th August 2006 | |||
---|---|---|---|
15:30 to 16:30 |
Stanislaw Lech Woronowicz |
Room 1 |
Tuesday 22nd August 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Stephane Launois University of Edinburgh |
Room 1 |
Wednesday 23rd August 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Mariusz Wodzicki University of California |
Room 1 |
Wednesday 30th August 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Mikael Pichot |
Room 1 |
Thursday 31st August 2006 | |||
---|---|---|---|
15:30 to 16:30 |
Victor Gayral Københavns Universitet (University of Copenhagen) |
Room 1 |
Friday 1st September 2006 | |||
---|---|---|---|
15:30 to 16:30 |
Vadim Vologodsky University of Chicago |
Room 1 |
Monday 11th September 2006 | |||
---|---|---|---|
11:30 to 12:30 |
A Lorentzian version of the non-commutative geometry of the standard model of particle physics |
Room 2 | |
14:00 to 15:00 |
Catherine Meusburger Perimeter Institute for Theoretical Physics |
Room 2 | |
15:00 to 16:00 |
Andrzej Sitarz |
Room 2 |
Tuesday 12th September 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Joachim Cuntz Universität Münster |
Room 2 | |
16:30 to 17:30 |
Ping Xu Pennsylvania State University |
Room 2 |
Wednesday 13th September 2006 | |||
---|---|---|---|
15:00 to 16:00 | Room 2 |
Thursday 14th September 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Franz Luef |
Room 2 |
Monday 18th September 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Marc Rieffel University of California |
Room 2 |
Tuesday 19th September 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Mariusz Wodzicki University of California |
Room 2 |
Thursday 21st September 2006 | |||
---|---|---|---|
15:00 to 16:00 | Room 2 |
Monday 25th September 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Michael Farber University of Durham |
Room 1 |
Tuesday 26th September 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Noncommutative Batalin-Vilkovisky geometry and stable ribbon graphs |
Room 1 |
Wednesday 27th September 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Marc Rieffel University of California |
Room 1 |
Friday 29th September 2006 | |||
---|---|---|---|
15:00 to 16:00 |
Mariusz Wodzicki University of California |
Room 1 |
Monday 2nd October 2006 | |||
---|---|---|---|
14:00 to 16:00 |
Alain Connes IHES |
Room 2 |
Wednesday 4th October 2006 | |||
---|---|---|---|
14:30 to 15:30 |
George Wilson University of Oxford |
Room 2 |
Friday 6th October 2006 | |||
---|---|---|---|
14:30 to 15:30 | Room 1 |
Monday 9th October 2006 | |||
---|---|---|---|
14:00 to 16:00 |
Alain Connes IHES |
Room 1 |
Tuesday 10th October 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Dimitri Gurevich |
Room 1 |
Wednesday 11th October 2006 | |||
---|---|---|---|
11:00 to 13:00 |
Alain Connes IHES |
Room 1 |
Thursday 12th October 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Jorge Plazas |
Room 1 |
Wednesday 18th October 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Edwin Beggs University of Wales, Swansea |
Room 1 |
Thursday 19th October 2006 | |||
---|---|---|---|
14:00 to 15:00 |
Monoidal categories and WDW equation NCG in collaboration with COW seminar |
Room 2 | |
15:45 to 16:30 |
Recent progress in the minimal model program NCG in collaboration with COW seminar |
Room 2 | |
16:30 to 17:30 |
Alexey Bondal |
Room 2 |
Tuesday 24th October 2006 | |||
---|---|---|---|
14:30 to 15:30 | Room 1 |
Wednesday 25th October 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Roger Plymen University of Manchester |
Room 1 |
Thursday 26th October 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Zinaida Lykova University of Newcastle upon Tyne |
Room 1 |
Tuesday 31st October 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Jacques Alev |
Room 2 |
Wednesday 1st November 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Calder Daenzer University of Pennsylvania |
Room 2 |
Thursday 2nd November 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Tatiana Gateva-Ivanova Bulgarian Academy of Sciences |
Room 2 |
Monday 6th November 2006 | |||
---|---|---|---|
14:00 to 16:00 |
Alain Connes IHES |
Room 1 |
Wednesday 8th November 2006 | |||
---|---|---|---|
14:00 to 16:00 |
Alain Connes IHES |
Room 1 |
Thursday 9th November 2006 | |||
---|---|---|---|
14:30 to 15:30 |
J Toby Stafford University of Michigan |
Room 1 |
Tuesday 21st November 2006 | |||
---|---|---|---|
14:30 to 15:30 | Room 2 |
Thursday 23rd November 2006 | |||
---|---|---|---|
14:30 to 15:30 |
David Kyed Københavns Universitet (University of Copenhagen) |
Room 2 |
Tuesday 28th November 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Johannes Aastrup Leibniz Universität Hannover |
Room 1 |
Thursday 30th November 2006 | |||
---|---|---|---|
14:30 to 15:30 |
John Hunton University of Leicester |
Room 1 |
Monday 4th December 2006 | |||
---|---|---|---|
10:30 to 11:15 |
Antony Wassermann |
Room 1 | |
11:30 to 12:30 |
Antony Wassermann |
Room 1 |
Wednesday 6th December 2006 | |||
---|---|---|---|
10:30 to 11:15 |
Antony Wassermann |
Room 1 | |
11:30 to 12:30 |
Antony Wassermann |
Room 1 | |
14:30 to 15:30 |
Vladimir Retakh |
Room 1 |
Friday 8th December 2006 | |||
---|---|---|---|
10:30 to 11:15 |
Antony Wassermann |
Room 1 | |
11:30 to 12:30 |
Antony Wassermann |
Room 1 | |
14:30 to 15:30 |
Ryszard Nest Københavns Universitet (University of Copenhagen) |
Room 1 |
Tuesday 12th December 2006 | |||
---|---|---|---|
14:30 to 15:30 | Room 2 |
Wednesday 13th December 2006 | |||
---|---|---|---|
14:30 to 15:30 |
Vladimir Manuilov Institute of Mechanics of Moscow State University |
Room 2 |
Friday 15th December 2006 | |||
---|---|---|---|
10:00 to 11:30 |
Masoud Khalkhali |
Room 2 | |
11:30 to 12:30 | Room 2 | ||
14:30 to 15:30 |
Tom Hadfield Queen Mary University of London |
Room 2 | |
16:00 to 17:00 |
Nahum Zobin |
Room 2 |
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