Non-Positive Curvature Group Actions and Cohomology

Non-Positive Curvature Group Actions and Cohomology's image
Created: 2017-01-17 10:16
Institution: Isaac Newton Institute for Mathematical Sciences
Description: 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.
 

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Media items

4. Lp-cohomology

   19 views

Pansu, P (Université Paris-Sud 11)
Wednesday 22nd February 2017 - 14:00 to 16:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Mar 2017


1. Lp-cohomology

   37 views

Pansu, P (Université Paris-Sud 11, Université Paris-Sud 11)
Wednesday 18th January 2017 - 14:00 to 16:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 1 Feb 2017


3. Lp-cohomology

   19 views

Pansu, P (Université Paris-Sud 11)
Wednesday 1st February 2017 - 14:00 to 17:30

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Feb 2017


5. Lp-cohomology

   17 views

Pansu, P (Université Paris-Sud 11)
Wednesday 8th March 2017 - 14:00 to 16:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 20 Mar 2017


6. Lp-cohomology

   23 views

Pansu, P (Université Paris-Sud 11)
Wednesday 15th March 2017 - 14:00 to 16:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 20 Mar 2017


A Banachic generalization of Shalom's property H_FD.

   30 views

Tessera, R (Université Paris-Sud 11)
Thursday 2nd March 2017 - 10:00 to 12:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Mar 2017


A random walk around soluble group theory

   17 views

Kropholler, P (University of Southampton)
Friday 12th May 2017 - 14:30 to 15:30

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 22 May 2017


Action dimension and L^2 Cohomology

   22 views

Schreve, K
Friday 23rd June 2017 - 10:00 to 11:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 19 Jul 2017


Approximate groups: an introduction

   23 views

Breuillard, E (Universität Münster)
Wednesday 1st March 2017 - 14:00 to 16:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Tue 14 Mar 2017


Approximate groups: basic definitions, structure theorem and geometric consequences

   13 views

Breuillard, E (Universität Münster)
Tuesday 7th March 2017 - 10:00 to 12:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 20 Mar 2017


Approximate groups: Hrushovski's Lie model theorem

   21 views

Breuillard, E (Universität Münster)
Tuesday 11th April 2017 - 10:00 to 12:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Thu 13 Apr 2017


Approximate groups: nilprogressions and the structure theorem.

   7 views

Breuillard, E (Universität Münster)
Wednesday 26th April 2017 - 14:00 to 16:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Fri 5 May 2017


Approximate groups: structure theorem for special classes of groups

   16 views

Breuillard, E (Universität Münster)
Tuesday 14th March 2017 - 10:00 to 12:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 20 Mar 2017


Approximating simple locally compact groups by their dense subgroups

   18 views

Wesolek, P (Binghamton University)
Thursday 11th May 2017 - 11:30 to 12:30

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 17 May 2017


Are geodesic metric spaces determined by their Morse boundaries?

   13 views

Charney, R (Brandeis University)
Tuesday 30th May 2017 - 11:00 to 12:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Thu 22 Jun 2017


Arithmetic of Dehn surgery points

   27 views

Reid, A (University of Texas at Austin)
Tuesday 9th May 2017 - 14:30 to 15:30

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Wed 10 May 2017


Around a big mapping class group

   14 views

Bavard, J
Monday 19th June 2017 - 14:30 to 15:30

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 17 Jul 2017


Benjamini-Schramm convergence of arithmetic orbifolds.

   10 views

Fraczyk, M (Université Paris-Sud 11)
Wednesday 19th April 2017 - 10:00 to 11:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Thu 20 Apr 2017


Boundaries and Moebius Geometry

   17 views

Schroeder, V (University of Zurich and ETH Zurich)
Wednesday 11th January 2017 - 16:00 to 17:00

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Fri 27 Jan 2017


Bounded cohomology and combinatorial volume forms

   10 views

Frigerio, R
Monday 19th June 2017 - 11:30 to 12:30

Collection: Non-Positive Curvature Group Actions and Cohomology

Institution: Isaac Newton Institute for Mathematical Sciences

Created: Mon 17 Jul 2017


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