Universität Bonn

Trimester Program: "Metric Analysis"


January 13 - April 17, 2025

Organizers: Ursula Hamenstädt, Yevgeny Liokumovich, Andrea Mondino, Stephan Stadler, Stefan Wenger, Robert Young

Description: In recent years, the development of analytic tools to study geometric questions in metric spaces beyond Riemannian manifolds has seen tremendous progress and led to many structural results which shed a new light even on classical questions. The goal of this HIM program is to further refine such tools and explore their applications, like the study of filling invariants, norms, volumes, energies, in various concrete geometric frameworks.

The program aims at bringing together researchers in analysis on metric spaces, geometric group theory, differential geometry, higher Teichmüller theory and low dimensional topology to isolate and enhance common core ideas and tie these strands to a more global theory, geared at making progress towards some well established open problems.

The trimester will include

  • an Introductory Winter School "Analysis and geometry on groups and spaces" (January, 27-31),
  • an International Conference "Differential geometry beyond Riemannian manifolds” (March, 24-28),
  • and the Felix Klein Lectures (March, 31 to April, 11).

In case of questions concerning services and administration, please contact him-coordination@hcm.uni-bonn.de


Participants

PERSON
AFFILIATION
 Alattar Mohammad
 Durham University
 
 Antonelli Giaocchino
 New York University (Courant Institute)
 
Anttila Riku
University of Jyväskylä
 
Assimos Martins Renan
Leibniz Universität Hannover
 
Braun Mathias
École Polytechnique Fédérale de Lausanne
 
Breiner Christine
Brown University
 
Caputo Emanuele
University of Warwick
 
Cavalletti Fabio
University of Milan
 
Chang Alan
Washington University in St. Louis
 
Che Moguel Mauricio
Durham University
 
Cheng Herng Yi
University of Toronto
 
Cucinotta Alessandro 
University of Oxford
 
Drutu Badea Cornelia 
University of Oxford
 
Dybowski Michal
Warsaw University of Technology
 
Eriksson-Bique Sylvester
University of Jyväskylä
 
Garg Manisha
University of Illinois Urbana-Champaign
 
Gravel Katherine
University of Chicago
 
Hamenstädt Ursula
University of Bonn
 
Hanke Bernhard
University of Augsburg
 
Hupp Erik
University of Bonn
 
Jogensen Martina
Eidgenössische Technische Hochschule Zürich
 
Ketterer Christian
Maynooth University
 
Liokumovich Yevgeny
University of Toronto
 
Lytchak Alexander
Karlsruher Institut für Technologie
 
Magnabosco Mattia
University of Oxford
 
Manin Fedor
University of Toronto
 
Marti Denis
University of Fribourg
 
Meier Damaris
University of Fribourg
 
Mese Chikako
Stanford University
 
Mondello Ilaria
Université Paris Est Créteil
 
Mondino Andrea
Uiversity of Oxford
 
Nabutovsky Alexander
Universtity of Toronto
 
Pallier Gabriel
Université de Lille
 
Perales Raquel
Stony Brook University
 
Radeschi Marco
Università degli Studi di Torino
 
Rigoni Chiara
University of Vienna
 
Rotman Regina
Universtity of Toronto
 
Rupflin Melanie
University of Oxford
 
Ryborz Vanessa Emily
University of Oxford
 
Saemann Clemens
University of Vienna
 
Sagman Nathaniel
University of Luxembourg
 
Saric Dragomir
Queens College
 
Sauer Roman
Karlsruhe Institute of Technology
 
Schick Thomas
University of Göttingen
 
Seidel Jona
Technisch Unversität Darmstadt
 
Semola Daniele
University of Vienna
 
Shuttleworth Brendan
 University of Toronto
 
Soultanis Elefterios
University of Jyväsykylä
 
Stadler Stephan
Max-Planck Institute for Mathematics
 
Staffa Bruno
University of Toronto
 
Swenson Eric
Brigham Young University
 
Takac Jakub
University of Warwick
 
Talipov Talant
University of Toronto
 
Vikman Noa
University of Fribourg
 
Wenger Stefan
University of Fribourg
 
Young Robert
New York University (Courant Institute)
 
Zeidler Rudolf
Universität Münster
 
Zhu Xingyu
Michigan State University
 
PERSON
AFFILIATION
Bate David
University of Warwick
 
Papazoglou Panagiotis
University of Oxford
 
Rotman Regina
Universtity of Toronto
 
Semola Daniele
University of Vienna
 
Aleshin Artem
Stony Brook University
 
Balitskiy Alexey
University of Luxembourg
 
Flaim Marco
University of Bonn
 
Gil Moreno de Mora i Sardà Teo
Université Paris-Est Créteil,
Universitat Autònoma de Barcelona
 
Kerr Alice
University of Birmingham
 
Khoo Jeremy
University of California
 
Langlais Thibault
University of Oxford
 
Martinet Elodie
University of Fribourg
 
Oleinik Roman
International School for Advanced Studies (SISSA)
 
Pachyli Eleni
Institute of Discrete Mathematics and Geometry
 
Rossi Tommaso
Sorbonne Université
 
PERSON
AFFILIATION
Topping Peter
University of Warwick
 
Bamler Richard 
 UC Berkeley
 
Breiner Christine
Brown University
 
Drutu Badea Cornelia 
University of Oxford
 
Fässler Katrin
University of Jyväskylä
 
Franz Giada
Massachusetts Institute of Technology
 
Fraser Ailana
University of British Columbia
 
Hanke Bernhard
University of Augsburg
 
Kleiner Bruce
 New York University
 
Lang Urs
Eidgenössische Technische Hochschule Zürich
 
Lytchak Alexander
Karlsruher Institut für Technologie
 
Manin Fedor
University of Toronto
 
Meier Damaris
University of Fribourg
 
Mese Chikako
Stanford University
 
Nabutovsky Alexander
University of Toronto
 
Pansu Pierre
Université Paris-Saclay
 
Rupflin Melanie
University of Oxford
 
Sauer Roman
Karlsruhe Institute of Technology
 
Song Antoine
California Institute of Technology
 
PERSON
AFFILIATION
 Andre Neves
 University of Chicago
 
 
 
 

  Trimester Seminar Series

TBA (date)

Location: TBA

Title: TBA

Abstract: TBA


Introductory Winter School "Analysis and geometry on groups and spaces"

January 27 - 31, 2025

Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn

Lecturers:

  • Panos Papasoglu (University of Oxford): Periodic geodesics and systoles
  • Daniele Semola (ETH): Ricci curvature and fundamental group
  • Regina Rotman (University of Toronto): Quantitative Topology and Geometric Inequalities
  • David Bate (University of Warwick): An introduction to rectifiability in metric spaces

The online application platform to participate in this Winter School has been closed.

In case of questions concerning services and administration, please contact him-coordination@hcm.uni-bonn.de

International Conference "Differential geometry beyond Riemannian manifolds” 

March 24 - 28, 2025

Venue: Lipschitz-Saal, Endenicher Allee 60, Bonn

Description: Studying  smooth shapes with the aid of differential calculus is at the core of classical differential geometry. The interest in more general objects arises from the incompleteness of the space of smooth shapes and the existence of intriguing groups lacking suitable smooth models. 

Metric measure spaces with synthetic curvature bounds provide a suitable generalization of Riemannian manifolds. Analysis in these spaces recovers significant portions of classical Euclidean geometric function theory. This analytical toolbox allows the extension of differential geometric ideas into the broader realm of metric measure spaces. 

In this spirit, the conference will concentrate on presenting new results and developments for both smooth and non-smooth spaces.

Lecturers:
  • Richard Bamler (UC Berkeley)
  • Christine Breiner (Brown University)
  • Cornelia Drutu (University of Oxford)
  • Katrin Fässler (Jyväskylä University)
  • Giada Franz (Massachusetts Institute of Technology)
  • Ailana Fraser (University of British Columbia)
  • Bernhard Hanke (University of Augsburg)
  • Bruce Kleiner (New York University)
  • Urs Lang (ETH Zurich)
  • Alexander Lytchak (Karlsruhe Institute of Technology)
  • Fedor Manin (UC Santa Barbara)
  • Damaris Meier (University of Fribourg)
  • Chikako Mese (Stanford University)
  • Alexander Nabutovsky (University of Toronto)
  • Pierre Pansu (Paris-Saclay University)
  • Melanie Rupflin (University of Oxford)
  • Roman Sauer (Karlsruhe Institute of Technology)
  • Antoine Song (Caltech)

Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.

The online application platform to participate in this Conference has been closed.

In case of questions concerning services and administration, please contact him-coordination@hcm.uni-bonn.de

Felix Klein Lectures

March 31 - April 11, 2025

Venue: HIM lecture hall, Poppelsdorfer Allee 45, Bonn

Lecturer: Andre Neves (University of Chicago)

Description: tba


Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event. 


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