GDO
3 January 2013 to 26 April 2013
The main goal of this programme is to bring together the two research communities working on Grothendieck-Teichmüller theory on the one hand, and on operadic deformation theory on the other hand. These themes lie at the forefront of current research in algebra, algebraic and differential geometry, number theory, topology and mathematical physics.
Grothendieck-Teichmüller theory goes back to A. Grothendieck's celebrated Esquisse d'un programme. In 1991, V. Drinfel'd formally introduced two Grothendieck-Teichmüller groups, the former one related to the absolute Galois group and the latter one related to the deformation theory of a certain algebraic structure (braided quasi-Hopf algebra). Introduced in algebraic topology 40 years ago, the notion of operad has enjoyed a renaissance in the 90's under the work of M. Kontsevich in deformation theory. Two proofs of the deformation quantization of Poisson manifolds, one by himself as well as one by D. Tamarkin, led M. Kontsevich to conjecture an action of a Grothendieck-Teichmüller group on such deformation quantizations, thereby drawing a precise relationship between the two themes.
Research in mathematics often alternates breakthroughs and periods of sedimentation of ideas. More than 10 years after those major results, the underlying theories have now been well understood and we can expect new important discoveries. Recently, some results have been proved at the intersection of Grothendieck-Teichmüller groups, deformation theory, operads and multiple zeta values. These fields of research clearly overlap and such a programme should facilitate the cross-fertilization between them.
The main topics of the programme are:
The programme will include 4 weekly courses, over the course of a month, on the aforementioned topics. The courses will be mainly addressed to students and to non-specialists and will be organised in order to make them accessible to the UK community. Two workshops are also scheduled to cover more advanced results.
The programme is supported by the Clay Mathematics Institute.
Click here to download the programme's final scientific report
Title | Year | Programme | |
---|---|---|---|
The derived Maurer-Cartan locusAuthors: Ezra Getzler |
2012 | GDO | 2 March 2017 |
Geometric higher groupoids and categoriesAuthors: Ezra Getzler |
2012 | GDO | 2 March 2017 |
An A$_\infty$ operad in spineless cactiAuthors: Imma Gálvez-Carrillo, L Lombardi, A Tonks |
2012 | GDO | 21 October 2016 |
Untwisting a twisted Calabi-Yau algebraAuthors: J Goodman, U Krahmer |
2012 | GDO | 21 October 2016 |
Givental action is homotopy gauge symmetryAuthors: Vladimir Dotsenko, S Shadrin, Bruno Vallette |
2012 | GDO | 21 October 2016 |
Equations of tropical varietiesAuthors: Jeffrey Giansiracusa, Jeffrey Giansiracusa |
2012 | GDO | 21 October 2016 |
Modular invariant of quantum toriAuthors: C Castano Bernard, Timothy Gendron |
2012 | GDO | 21 October 2016 |
A$_\infty$-actions and recognition of relative loop spacesAuthors: Eduardo Hoefel, Muriel Livernet, J Stasheff |
2012 | GDO | 21 October 2016 |
On the equivalence between Lurie's model and the dendroidal model for infinity-operadsAuthors: G Heuts, V Hinich, Ieke Moerdijk |
2012 | GDO | 21 October 2016 |
Homology of depth-graded motivic Lie algebras and koszulityAuthors: Benjamin Enriquez, Pierre Lochak |
2012 | GDO | 21 October 2016 |
Strong homology, and closed geodesics on manifolds which are elliptic spacesAuthors: John Jones, John McCleary |
2012 | GDO | 21 October 2016 |
8 January 2013 to 10 January 2013
2 April 2013 to 5 April 2013
8 April 2013 to 12 April 2013
15 April 2013 to 16 April 2013
Tuesday 15th January 2013 | |||
---|---|---|---|
14:00 to 17:00 |
Sergei Merkulov Stockholm University |
Room 1 | |
Wednesday 16th January 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 | |
14:00 to 15:30 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 | |
16:00 to 17:30 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 |
Thursday 17th January 2013 | |||
---|---|---|---|
14:00 to 16:00 |
Dror Bar-Natan University of Toronto |
Room 1 | |
Tuesday 22nd January 2013 | |||
---|---|---|---|
14:00 to 15:00 |
Ieke Moerdijk Radboud Universiteit Nijmegen |
Room 2 | |
15:00 to 16:00 |
Ieke Moerdijk Radboud Universiteit Nijmegen |
Room 2 | |
Wednesday 23rd January 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 | |
14:00 to 15:30 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 | |
16:00 to 17:30 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 |
Thursday 24th January 2013 | |||
---|---|---|---|
14:00 to 15:00 |
Pierre Cartier IHES |
Room 1 | |
15:00 to 16:00 |
Pierre Cartier IHES |
Room 1 | |
Tuesday 29th January 2013 | |||
---|---|---|---|
14:00 to 15:00 |
Ieke Moerdijk Radboud Universiteit Nijmegen |
Room 2 | |
15:00 to 16:00 |
Ieke Moerdijk Radboud Universiteit Nijmegen |
Room 2 | |
Wednesday 30th January 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 | |
14:00 to 15:30 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 | |
16:00 to 17:30 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 |
Friday 1st February 2013 | |||
---|---|---|---|
10:00 to 12:00 | Discussion Room |
Tuesday 5th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
John Jones University of Warwick |
Room 1 | |
14:00 to 15:30 |
John Jones University of Warwick |
Room 1 | |
16:00 to 17:30 |
John Jones University of Warwick |
Room 1 |
Wednesday 6th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Pierre Lochak Institut de Mathématiques de Jussieu |
Room 1 | |
14:00 to 15:30 |
Pierre Lochak Institut de Mathématiques de Jussieu |
Room 1 | |
16:00 to 17:30 |
Pierre Lochak Institut de Mathématiques de Jussieu |
Room 1 |
Thursday 7th February 2013 | |||
---|---|---|---|
14:00 to 15:00 |
Hypercommutative algebras, Batalin-Vilkovisky algebras, and Givental group I |
Room 1 | |
15:00 to 16:00 |
Hypercommutative algebras, Batalin-Vilkovisky algebras, and Givental group II |
Room 1 | |
Friday 8th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Ieke Moerdijk Radboud Universiteit Nijmegen |
Room 1 |
Tuesday 12th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Damien Calaque ETH Zürich |
Room 1 | |
14:00 to 15:30 |
Bruno Vallette Université de Nice Sophia Antipolis |
Room 1 | |
16:00 to 17:30 |
Damien Calaque ETH Zürich |
Room 1 |
Wednesday 13th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Pierre Lochak Institut de Mathématiques de Jussieu |
Room 1 | |
14:00 to 15:30 |
Leila Schneps Institut de Mathématiques de Jussieu |
Room 1 | |
16:00 to 17:30 |
Pierre Lochak Institut de Mathématiques de Jussieu |
Room 1 |
Thursday 14th February 2013 | |||
---|---|---|---|
14:00 to 16:00 |
Giovanni Felder ETH Zürich |
Room 1 | |
Tuesday 19th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
John Jones University of Warwick |
Room 1 | |
14:00 to 15:30 |
John Jones University of Warwick |
Room 1 | |
16:00 to 17:30 |
John Jones University of Warwick |
Room 1 |
Wednesday 20th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Pierre Lochak Institut de Mathématiques de Jussieu |
Room 1 | |
14:00 to 15:30 |
Pierre Lochak Institut de Mathématiques de Jussieu |
Room 1 | |
16:00 to 17:30 |
Pierre Lochak Institut de Mathématiques de Jussieu |
Room 1 |
Thursday 21st February 2013 | |||
---|---|---|---|
14:00 to 16:00 |
Damien Calaque ETH Zürich |
Room 1 | |
16:00 to 17:00 |
Damien Calaque ETH Zürich |
Room 1 | |
Tuesday 26th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Damien Calaque ETH Zürich |
Room 1 | |
14:00 to 15:30 |
Damien Calaque ETH Zürich |
Room 1 | |
16:00 to 17:30 |
Damien Calaque ETH Zürich |
Room 1 |
Wednesday 27th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Leila Schneps Institut de Mathématiques de Jussieu |
Room 1 | |
14:00 to 15:30 |
Leila Schneps Institut de Mathématiques de Jussieu |
Room 1 | |
16:00 to 17:30 |
Leila Schneps Institut de Mathématiques de Jussieu |
Room 1 |
Thursday 28th February 2013 | |||
---|---|---|---|
10:30 to 12:00 |
John Jones University of Warwick |
Room 2 | |
14:00 to 16:00 | Room 1 | |
|
16:30 to 17:00 | Room 1 | |
Tuesday 5th March 2013 | |||
---|---|---|---|
14:00 to 15:15 |
Benoit Fresse Université Lille 1 |
Room 2 | |
15:45 to 17:00 |
Benoit Fresse Université Lille 1 |
Room 2 | |
Wednesday 6th March 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Francis Brown IHES |
Room 1 | |
14:00 to 15:30 |
Francis Brown IHES |
Room 1 | |
16:00 to 17:30 |
Francis Brown IHES |
Room 1 |
Thursday 7th March 2013 | |||
---|---|---|---|
14:00 to 16:00 |
Teimuraz Pirashvili University of Leicester |
Room 1 | |
Tuesday 12th March 2013 | |||
---|---|---|---|
14:00 to 15:15 |
Benoit Fresse Université Lille 1 |
Room 2 | |
15:45 to 17:00 |
Benoit Fresse Université Lille 1 |
Room 2 | |
Wednesday 13th March 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Francis Brown IHES |
Room 1 | |
14:00 to 15:30 |
Francis Brown IHES |
Room 1 | |
16:00 to 17:30 |
Francis Brown IHES |
Room 1 |
Thursday 14th March 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Ralph Kaufmann Indiana University-Purdue University Indianapolis |
Room 2 | |
14:00 to 15:00 |
Tomohide Terasoma University of Tokyo |
Room 1 | |
15:00 to 16:00 |
Tomohide Terasoma University of Tokyo |
Room 1 | |
Tuesday 19th March 2013 | |||
---|---|---|---|
14:00 to 16:00 |
Markus Spitzweck Universität Osnabrück |
Room 2 |
Wednesday 20th March 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Herbert Gangl Durham University |
Room 2 | |
14:00 to 15:30 |
Herbert Gangl Durham University |
Room 2 | |
16:00 to 17:30 |
Herbert Gangl Durham University |
Room 2 |
Thursday 21st March 2013 | |||
---|---|---|---|
14:00 to 16:00 |
Ralph Kaufmann Indiana University-Purdue University Indianapolis |
Room 2 | |
Friday 22nd March 2013 | |||
---|---|---|---|
14:00 to 16:00 | Discussion Room |
Tuesday 26th March 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Kentaro Ihara Osaka University |
Room 2 | |
Wednesday 27th March 2013 | |||
---|---|---|---|
10:30 to 12:00 |
Don Zagier Max-Planck-Institut für Mathematik, Bonn |
Room 2 | |
Thursday 28th March 2013 | |||
---|---|---|---|
14:00 to 16:00 |
Kentaro Ihara Osaka University |
Room 2 | |
Thursday 18th April 2013 | |||
---|---|---|---|
14:00 to 16:00 |
Don Zagier Max-Planck-Institut für Mathematik, Bonn |
Room 2 | |
16:00 to 18:00 |
Benjamin Enriquez University of Strasbourg |
Room 2 | |
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