NPC
3 January 2017 to 23 June 2017
The concept of curvature describes a fundamental spatial attribute and it has found a place at the core of science since its inception.
This programme is about aspects of non-positive curvature as they occur in various research areas of contemporary mathematics, such as the geometry of manifolds, including those arising from Lie group theory; synthetic geometry (e.g. CAT(0) geometry) as used notably in modern group theory; coarse geometry, a fundamental tool of contemporary topology; non-commutative geometry; and algebra.
By combining and comparing the aspects that non-positive curvature displays in various contexts, the programme aims to acquire new insight and find meaningful new directions to explore. Among the tools used to uncover new aspects of non-positive curvature one numbers cohomology, originally a tool from algebra and topology and now a research field in itself, with countless applications throughout mathematics; perturbation stability -- investigating when small "errors" lead to completely new structures, or when, on the contrary, structures are robust when perturbed;fixed point and proper actions - a topic at the interface of analysis and algebra - with surprising ramifications in many other areas; and CAT(0) and coarse geometry, where CAT(0) cubical and large-scale techniques come into play to solve problems from topology and algebra. All these fields are on the cutting edge of current research, and have fruitful connections to other areas, e.g. theoretical computer science.
The focus of this programme is on breakthrough results and techniques stemming from this research. The general structure consists of activities held on a regular basis (e.g. weekly research seminars, series of lectures, etc.), enhanced by weeks of more intensive lecturing focusing on a topic, and workshops intended to cathalyse interchange and research progress in a specific field. These activities rely on the interaction between long term visitors, UK researchers, and the rapidly developing body of young experts working in the area.
Click here to download the programme's final scientific report
Title | Year | Programme | |
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Constraint metric approximations and equations in groupsAuthors: Goulnara Arzhantseva, Liviu Paunescu |
2016 | NPC | 1 May 2018 |
Rips construction without unique productAuthors: Goulnara Arzhantseva, Markus Steenbock |
2016 | NPC | 2 October 2017 |
Characterizatoins of morse quasi-geodesics via superlinear divergence and sublinear contractionAuthors: Christopher Cashen, Dominik Gruber, David Hume, Goulnara Arzhantseva |
2016 | NPC | 3 August 2017 |
Negative curvature in graphical small cancellation groupsAuthors: David Hume, Goulnara Arzhantseva, Christopher Cashen, Dominik Gruber |
2016 | NPC | 3 August 2017 |
A rank one CAT(0) group is determined by its Morse boundaryAuthors: Ruth Charney, Devin Murray |
2016 | NPC | 3 August 2017 |
On continued fraction expansions of quadratic irrationals in positive characteristicAuthors: Uri Shapira, Frédéric Paulin |
2016 | NPC | 10 May 2017 |
Unique continuation principles and their absence for Schrödinger eigenfunctions on combinatorial and quantum graphs and in continuum spaceAuthors: Mr Matthias Täufer (Technische Universität Dortmund), Ivan Veselic, Norbert Peyerimhoff |
2016 | NPC | 2 March 2017 |
9 January 2017 to 13 January 2017
20 March 2017 to 24 March 2017
27 March 2017 to 31 March 2017
8 May 2017 to 12 May 2017
19 June 2017 to 23 June 2017
The Organisers would like to thank the following sponsors for their generous support of the event:
Wednesday 18th January 2017 | |||
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14:00 to 16:00 |
Pierre Pansu Université Paris Saclay |
Room 2 | |
Thursday 19th January 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Andrzej Zuk Université Paris 7 - Denis-Diderot |
Room 2 | |
Wednesday 25th January 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Pierre Pansu Université Paris Saclay |
Room 2 |
Thursday 26th January 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Ian Leary University of Southampton |
Room 2 | |
Wednesday 1st February 2017 | |||
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14:00 to 17:30 |
Pierre Pansu Université Paris Saclay |
Room 2 | |
Thursday 2nd February 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Eric Swenson Brigham Young University |
Room 2 | |
Thursday 9th February 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Alessandro Sisto ETH Zürich |
Room 2 | |
Thursday 16th February 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Rémi Coulon Université de Rennes 1; CNRS (Centre national de la recherche scientifique) |
Room 2 | |
Wednesday 22nd February 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Pierre Pansu Université Paris Saclay |
Room 2 | |
Thursday 23rd February 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Anastasia Khukhro Université de Neuchâtel |
Room 2 | |
Wednesday 1st March 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Emmanuel Breuillard Universität Münster |
Room 2 | |
Thursday 2nd March 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Romain Tessera Université Paris Saclay |
Room 2 | |
Tuesday 7th March 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Emmanuel Breuillard Universität Münster |
Room 2 | |
Wednesday 8th March 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Pierre Pansu Université Paris Saclay |
Room 2 | |
Thursday 9th March 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Ursula Hamenstadt University of Bonn |
Room 2 | |
11:00 to 12:00 |
Koji Fujiwara Kyoto University |
Room 2 | |
Tuesday 14th March 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Emmanuel Breuillard Universität Münster |
Room 2 | |
Wednesday 15th March 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Pierre Pansu Université Paris Saclay |
Room 2 | |
Thursday 16th March 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Vladimir Markovic University of Warwick |
Room 2 | |
11:00 to 12:00 |
Narutaka Ozawa Kyoto University |
Room 2 | |
Wednesday 5th April 2017 | |||
---|---|---|---|
14:00 to 15:30 |
Pierre-Emmanuel Caprace Université Catholique de Louvain |
Room 2 | |
Thursday 6th April 2017 | |||
---|---|---|---|
10:00 to 11:00 |
John Mackay University of Bristol |
Room 2 | |
11:00 to 12:00 |
Shahar Mozes Hebrew University of Jerusalem |
Room 2 | |
Friday 7th April 2017 | |||
---|---|---|---|
16:00 to 17:00 |
Richard Schwartz Brown University |
Room 1 | |
Tuesday 11th April 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Emmanuel Breuillard Universität Münster |
Room 2 | |
Wednesday 12th April 2017 | |||
---|---|---|---|
14:00 to 15:30 |
Pierre-Emmanuel Caprace Université Catholique de Louvain |
Room 2 | |
Thursday 13th April 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Indira Chatterji Université de Nice |
Room 2 | |
11:00 to 12:00 |
Karen Vogtmann University of Warwick |
Room 2 | |
Tuesday 18th April 2017 | |||
---|---|---|---|
10:00 to 11:30 |
Pierre-Emmanuel Caprace Université Catholique de Louvain |
Room 2 | |
Wednesday 19th April 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Mikolaj Fraczyk Université Paris Saclay |
Room 2 | |
14:00 to 16:00 |
Emmanuel Breuillard Universität Münster |
Room 2 | |
Thursday 20th April 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Andreas Aaserud Cardiff University |
Room 2 | |
11:00 to 12:00 |
Brian Bowditch University of Warwick |
Room 2 |
Tuesday 25th April 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Frédéric Paulin Université Paris Saclay |
Room 2 | |
11:00 to 12:00 |
John Parker University of Durham |
Room 2 | |
Wednesday 26th April 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Emmanuel Breuillard Universität Münster |
Room 2 | |
Thursday 27th April 2017 | |||
---|---|---|---|
09:30 to 11:30 |
Pierre-Emmanuel Caprace Université Catholique de Louvain |
Room 2 | |
Tuesday 2nd May 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Brita Nucinkis Royal Holloway, University of London |
Room 2 | |
11:00 to 12:00 |
Adrien Le Boudec Université Catholique de Louvain |
Room 2 | |
Wednesday 3rd May 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Richard Schwartz Brown University |
Room 2 | |
Thursday 4th May 2017 | |||
---|---|---|---|
09:30 to 11:30 |
Pierre-Emmanuel Caprace Université Catholique de Louvain |
Room 2 | |
Friday 5th May 2017 | |||
---|---|---|---|
15:45 to 17:15 |
Pierre-Emmanuel Caprace Université Catholique de Louvain |
Room 2 | |
Tuesday 16th May 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Michael Davis Ohio State University |
Room 2 | |
11:00 to 12:00 |
Yves de Cornulier CNRS (Centre national de la recherche scientifique); Université Paris Saclay |
Room 2 | |
14:00 to 16:00 |
Viktor Schroeder ETH Zürich |
Discussion Room |
Wednesday 17th May 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Richard Schwartz Brown University |
Room 2 | |
Friday 19th May 2017 | |||
---|---|---|---|
15:45 to 17:15 |
Richard Schwartz Brown University |
Room 2 | |
Tuesday 23rd May 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Erik Guentner University of Hawaii |
Room 2 | |
11:00 to 12:00 |
Nicolas Matte Bon ETH Zürich |
Room 2 | |
14:00 to 16:00 |
Viktor Schroeder ETH Zürich |
Discussion Room |
Wednesday 24th May 2017 | |||
---|---|---|---|
14:00 to 16:00 |
Richard Schwartz Brown University |
Room 2 | |
Friday 26th May 2017 | |||
---|---|---|---|
10:00 to 12:00 |
Richard Schwartz Brown University |
Room 2 | |
Tuesday 30th May 2017 | |||
---|---|---|---|
10:00 to 11:00 |
Alina Vdovina Newcastle University |
Room 2 | |
11:00 to 12:00 |
Ruth Charney Brandeis University |
Room 2 | |
14:00 to 16:00 |
Viktor Schroeder ETH Zürich |
Room 1 |
Tuesday 13th June 2017 | |||
---|---|---|---|
11:00 to 12:00 |
David Fisher Indiana University |
Room 2 | |
Wednesday 14th June 2017 | |||
---|---|---|---|
13:00 to 14:00 |
Vaughan Jones Vanderbilt University; University of California, Berkeley |
Room 1 | |
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