Universität Bonn

Workshop: "New directions in L2-invariants"


October 4-7, 2016

HIM Lecture Hall,  Poppelsdorfer Allee 45

Organizers: 

Gerrit Herrmann, Holger Kammeyer, Aditi Kar, Steffen Kionke, Jean Raimbault

Description: 

The workshop featured a few introductory talks to L2-methods aimed at a young audience as well as research talks covering the various ramifications of L2-invariants. Key topics were

  • Approximation and L2-invariants of groups
  • Arithmetic groups and analytic L2-invariants
  • Twisted L2-invariants and 3-manifolds

Invited speakers: 

  • Nicolas Bergeron (Paris) - mini course speaker
  • Stefan Friedl (Regensburg) - mini course speaker
  • Miklos Abert (Budapest)
  • Corina Ciobotaru (Fribourg)
  • Lukasz Grabowski (Lancaster)
  • Dawid Kielak (Bielefeld)
  • Mike Lipnowski (Duke)
  • Yi Liu (Beijing)
  • Wolfgang Lück (Bonn)
  • Nikolay Nikolov (Oxford)
  • Brita Nucinkis (London)
  • Thomas Schick (Göttingen)

Schedule

Tuesday, October 4

10:30 - 11:00 Registration & Welcome coffee
11:00 - 12:15 Nicolas Bergeron: L2-invariants of locally symmetric spaces (Lecture 1)
12:15 - 13:45 Lunch break
13:45 - 14:45 Thomas Schick: On the center-valued Atiyah conjecture for L2-Betti numbers
15:00 - 16:00 Lukasz Grabowski: The Atiyah problem for k-homology gradients
16:00 - 16:30 Tea and cake
16:30 - 17:30 Dawid Kielak: Alexander and Thurston norms, and the Bieri-Neumann-Strebel invariants for free-by-cyclic groups
afterwards Reception

Wednesday, October 5

09:15 - 10:30 Stefan Friedl: The L2-Alexander function of knots and 3-manifolds (Lecture 1)
10:30 - 11:00 Group photo and coffee break
11:00 - 12:15 Nicolas Bergeron: L2-invariants of locally symmetric spaces (Lecture 2)
12:15 - 14:00 Lunch break
14:00 - 15:00 Nikolay Nikolov: On growth of homology torsion in amenable groups
15:00 - 16:00 Discussion
16:00 - 16:30 Tea and cake
16:30 - 17:30 Miklos Abert: Rank, combinatorial cost and homology torsion growth in higher rank lattices

Thursday, October 6

09:15 - 10:30 Nicolas Bergeron: L2-invariants of locally symmetric spaces (Lecture 3)
10:30 - 11:00 Coffee break
11:00 - 12:15 Stefan Friedl: The L2-Alexander function of knots and 3-manifolds (Lecture 2)
12:15 - 14:00 Lunch break
14:00 - 15:00 Yi Liu: On the L2-Alexander torsion of 3-manifolds
15:00 - 16:00 Discussion
16:00 - 16:30 Tea and cake
16:30 - 17:30 Corina Ciobotaru: Analytic aspects of locally compact groups
19:00 - Conference dinner in the Restaurant Meyer's (Clemens-August-Str. 51a)

Friday, October 7

09:30 - 10:30 Brita Nucinkis: Classifying spaces for families and their finiteness conditions
10:30 - 11:00 Coffee break
11:00 - 12:00 Wolfgang Lück: Universal L2-torsion, L2-Euler characteristics, Thurston norms and polytopes
12:00 - Lunch, end of workshop

Participants

Person
Affiliation
Period of stay
Miklos Abert MTA Renyi Institute
Fathi Ben Aribi Université de Genève
Nicolas Bergeron IMJ-PRG Université Pierre et Marie Curie
Pedro Boavida de Brito University of Lisbon
Sabine Braun Karlsruher Institut für Technologie
Ulrich Bunke Universität Regensburg
Corina Ciobotaru Université de Fribourg
Christopher Davis The University of Wisconsin - Eau Claire
Dieter Degrijse NUI Galway
Emanuele Dotto Massachusetts Institute of Technology
Rosona Eldred Universität Münster
Stefan Friedl Universität Regensburg
Florian Funke Universität Bonn
Alejandra Garrido Heinrich-Heine-Universität Düsseldorf
Lukasz Grabowski Lancaster University
Gerrit Herrmann Universität Regensburg
Gijs Heuts Copenhagen University
Geoffroy Horel MPIM
Holger Kammeyer Karlsruher Institut für Technologie
Aditi Kar University of Southampton
Daniel Kasprowski MPIM
Dawid Kielak Universität Bielefeld
Min Hoon Kim Korea Institute for Advanced Study (KIAS)
Steffen Kionke Heinrich-Heine-Universität Düsseldorf
Yi Liu Peking University
Wolfgang Lück Universität Bonn
Akhil Mathew Harvard University
Duncan McCoy University of Glasgow
Jeffrey Meier Indiana University
Lennart Meier Universität Bonn
Mona Merling Johns Hopkins University
Johanna Meumertzheim Universität Regensburg
Allison Miller University of Texas, Austin
Kristian Jonsson Moi WWU Münster
Matthias Nagel Université du Québec à Montréal
Tim Netzer Universität Innsbruck
Nikolay Nikolov Oxford University
Brita Nucinkis University of London
Byungdo Park Max Planck Institute for Mathematics
Jung Hwan Park Rice University
Irakli Patchkoria Universität Bonn
Mark Powell Université du Québec à Montréal
Jean Raimbault Université Paul Sabatier
Georgios Raptis Universität Regensburg
Arunima Ray Brandeis University
Sune Precht Reeh Massachusetts Institute of Technology
Marcy Robertson University of Melbourne
Thomas Schick Georg-August-Universität Göttingen
Michael Schrödl Karlsruher Institut für Technologie
Polyxeni Spilioti Universität Bonn (Alumni)
Wolfgang Steimle Universität Augsburg
Nico Stucki Karlsruhe Institute of Technology (KIT)
Engelbert Peter Suchla Georg-August-Universität Göttingen
Mark Ullmann Freie Universität Berlin
Benjamin Waßermann Karlsruhe Institute of Technology
Christian Wegner Universität Bonn
Christoph Winges WWU Münster
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