Non-positive curvature in action

Workshop theme

This workshop is the launching event for the semester-long programme on "Non-Positive Curvature, Group Actions, and Cohomology".
The workshop will focus on the strong connections between fundamental properties of groups acting on non-positively curved spaces and geometric properties of those spaces. The goal is to give an overview of recent developments in the area, encompassing several different notions of nonpositive curvature and their applications within geometric group theory, geometry, and topology.

Applications for this workshop are now closed

The Institute kindly requests that any papers published as a result of this programme’s activities are credited as such. Please acknowledge the support of the Institute in your paper using the following text:

The author(s) would like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, for support and hospitality during the programme Non-positive curvature in action, where work on this paper was undertaken. This work was supported by EPSRC grant EP/K032208/1.

The Organisers would like to thank the following sponsors for their generous support of the event:

Timetable

Monday 9th January 2017
09:00 to 09:50	Registration	No Room Required
09:50 to 10:00	Welcome from David Abrahams (INI Director)	No Room Required
10:00 to 11:00	Pierre Py None / Other; Universidad Nacional Autonoma de Mexico (UNAM) Cubulable Kähler groups	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Francois Dahmani Université Joseph Fourier Grenoble The normal closure of a big Dehn twist in a mapping class group	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Richard Webb University of Cambridge Polynomial-time Nielsen--Thurston type recognition	Room 1
14:30 to 15:30	Samuel Taylor Yale University Counting loxodromics for hyperbolic actions	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Camille Horbez Université Paris Saclay Growth under automorphisms of hyperbolic groups	Room 1
17:00 to 18:00	Welcome Wine Reception	No Room Required

Tuesday 10th January 2017
09:00 to 10:00	Benjamin Beeker Technion - Israel Institute of Technology Cubical Accessibility and bounds on curves on surfaces.	Room 1
10:00 to 11:00	Michah Sageev Technion - Israel Institute of Technology Uniform exponential growth for groups acting on CAT(0) square complexes	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Daniel Woodhouse McGill University Understanding Tubular Groups	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Nir Lazarovich ETH Zürich Stallings folds for CAT(0) cube complexes and quasiconvex subgroups	Room 1
14:30 to 15:30	Anthony Genevois Aix Marseille Université Cubical-like geometry of graph products	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Robert Kropholler Tufts University Hyperbolic groups and their subgroups	Room 1

Wednesday 11th January 2017
09:00 to 10:00	Jingyin Huang McGill University Commensurability of groups quasi-isometric to RAAG's	Room 1
10:00 to 11:00	Alessandro Sisto ETH Zürich Bounded cohomology of acylindrically hyperbolic groups via hyperbolically embedded subgroups	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Jason Behrstock City University of New York Random graphs and applications to Coxeter groups	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Urs Lang ETH Zürich Group actions on spaces with a distinguished geodesic structure	Room 1
14:30 to 15:30	Bruno Duchesne Université de Lorraine Groups actions on dendrites	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Viktor Schroeder ETH Zürich Boundaries and Moebius Geometry	Room 1

Thursday 12th January 2017
09:00 to 10:00	Petra Schwer Karlsruhe Institute of Technology (KIT) Combinatorics of Coxeter groups and Affine Deligne Lusztig varieties	Room 1
10:00 to 11:00	David Hume University of Oxford Coarse negative curvature in action	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Pierre Pansu Université Paris Saclay Large scale conformal maps	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Emily Stark Technion - Israel Institute of Technology Commensurability classification of certain right-angled Coxeter groups and related surface amalgams	Room 1
14:30 to 15:30	Damian Osajda Uniwersytet Wroclawski; Polish Academy of Sciences Group cubization	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Andrew Sale Vanderbilt University When the outer automorphism groups of RAAGs are vast	Room 1
19:30 to 22:00	Formal Dinner at Emmanuel College	No Room Required

Friday 13th January 2017
09:00 to 10:00	Yago Antolin Universidad Autonoma de Madrid Convex subgroups of orderable groups.	Room 1
10:00 to 11:00	Panos Papasoglu University of Oxford Cutpoints of CAT(0) groups	Room 1
11:00 to 11:30	Morning Coffee	No Room Required
11:30 to 12:30	Dominik Gruber ETH Zürich Small cancellation theory over Burnside groups	Room 1
12:30 to 13:30	Lunch @ Wolfson Court	No Room Required
13:30 to 14:30	Jack Button University of Cambridge On the linearity of finitely presented groups and its connection to the existence of good geometric actions	Room 1
14:30 to 15:30	Alexandre Martin Universität Wien On the small cancellation geometry of certain graph products of groups	Room 1
15:30 to 16:00	Afternoon Tea	No Room Required
16:00 to 17:00	Christopher Cashen Universität Wien The topology of the contracting boundary of a group	Room 1

Non-positive curvature group actions and cohomology

Organisers

Goulnara Arzhantseva University of Vienna
Cornelia Drutu Badea University of Oxford; Université des Sciences et Technologies de Lille
Mark Hagen University of Cambridge
Eric Swenson Brigham Young University
Dani Wise McGill University

Speakers

Yago Antolin Universidad Autonoma de Madrid
Benjamin Beeker Technion - Israel Institute of Technology
Jason Behrstock City University of New York
Jack Button University of Cambridge
Christopher Cashen Universität Wien
Francois Dahmani Université Joseph Fourier Grenoble
Bruno Duchesne Université de Lorraine
Anthony Genevois Aix Marseille Université
Dominik Gruber ETH Zürich
Camille Horbez Université Paris Saclay
Jingyin Huang McGill University
David Hume University of Oxford
Robert Kropholler Tufts University
Urs Lang ETH Zürich
Nir Lazarovich ETH Zürich
Alexandre Martin Universität Wien
Damian Osajda Uniwersytet Wroclawski; Polish Academy of Sciences
Pierre Pansu Université Paris Saclay
Panos Papasoglu University of Oxford
Pierre Py None / Other; Universidad Nacional Autonoma de Mexico (UNAM)
Michah Sageev Technion - Israel Institute of Technology
Andrew Sale Vanderbilt University
Viktor Schroeder ETH Zürich
Petra Schwer Karlsruhe Institute of Technology (KIT)
Alessandro Sisto ETH Zürich
Emily Stark Technion - Israel Institute of Technology
Samuel Taylor Yale University
Richard Webb University of Cambridge
Daniel Woodhouse McGill University

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Participants

Yago Antolin Universidad Autonoma de Madrid
Benjamin Beeker Technion - Israel Institute of Technology
Jason Behrstock City University of New York
Marc Burger ETH Zürich
Jack Button University of Cambridge
Christopher Cashen Universität Wien
Maurice Chiodo University of Cambridge
Francois Dahmani Université Joseph Fourier Grenoble
Bruce Dodson Lehigh University
Cornelia Drutu Badea University of Oxford; Université des Sciences et Technologies de Lille
Bruno Duchesne Université de Lorraine
Elizabeth Field University of Illinois at Urbana-Champaign
Elia Fioravanti University of Oxford
Anthony Genevois Aix Marseille Université
Dominik Gruber ETH Zürich
Erik Guentner University of Hawaii
Mark Hagen University of Cambridge
Nicolaus Heuer University of Oxford
Camille Horbez Université Paris Saclay
Jingyin Huang McGill University
David Hume University of Oxford
Alessandra Iozzi ETH Zürich
Heejoung Kim University of Illinois at Urbana-Champaign
Yannick Krifka ETH Zürich
Robert Kropholler Tufts University
Peter Kropholler University of Southampton
Urs Lang ETH Zürich
Nir Lazarovich ETH Zürich
Ian Leary University of Southampton
Waltraud Lederle ETH Zürich
Joseph Maher City University of New York
Alexandre Martin Universität Wien
William Norledge Newcastle University
Damian Osajda Uniwersytet Wroclawski; Polish Academy of Sciences
Gabriel Pallier Université Paris Saclay
Pierre Pansu Université Paris Saclay
Panos Papasoglu University of Oxford
Norbert Peyerimhoff Durham University
Sam Povall University of Liverpool
Maria Beatrice Pozzetti University of Warwick
Anna Pratoussevitch University of Liverpool
Tomasz Prytuła University of Southampton; University of Copenhagen
Pierre Py None / Other; Universidad Nacional Autonoma de Mexico (UNAM)
Michah Sageev Technion - Israel Institute of Technology
Andrew Sale Vanderbilt University
Petra Schwer Karlsruhe Institute of Technology (KIT)
Cagri Sert Université Paris Saclay
Alessandro Sisto ETH Zürich
Emily Stark Technion - Israel Institute of Technology
Eric Swenson Brigham Young University
Samuel Taylor Yale University
Alina Vdovina Newcastle University
Federico Vigolo University of Oxford
Richard Webb University of Cambridge
Henry Wilton University of Cambridge
Stefan Witzel Bielefeld University
Daniel Woodhouse McGill University
Andrzej Zuk Université Paris 7 - Denis-Diderot