Universität Bonn

Trimester Program: "Metric Analysis"


January 13 - April 17, 2025

Organizers: Ursula Hamenstädt, Yevgeny Liokumovic , 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).

The online application platform to participate in this trimester program will be accessible from January 19 to June 30, 2024 under https://him-application.uni-bonn.de/index.php?id=5701    

For applications of PhD students and postdocs, a letter of recommendation is required. Please make sure this letter is sent before July 1, 2024 to application-metric-analysis@him.uni-bonn.de

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


Participants

PERSON
AFFILIATION
Antonelli Giaocchino
Courant Institute (NYU)
Bate David
University of Warwick
Breiner Christine
Brown University
Cucinotta Alessandro
University of Oxford
Hamenstädt Ursula
University of Bonn
Hanke Bernhard
University of Augsburg
Liokumovich Yevgeny
University of Toronto
Lytchak Alexander
Karlsruhe Institute of Technology
Magnabosco Mattia
University of Oxford
Manin Fedor
University of California, Santa Barbara
Mondino Andrea
University of Oxford
Nabutovsky Alexander
University of Toronto
Perales Raquel
CIMAT (Mexico)
Rotman Regina
University of Toronto
Rupflin Melanie
University of Oxford
Ryborz Vanessa
University of Oxford
Saemann Clemens
University of Oxford
Sauer Roman
Karlsruhe Institute of Technology
Semola Daniele
ETH Zurich
Schick Thomas
University of Göttingen
Stadler Stephan
Max Planck Institute for Mathematics
Staffa Bruno
University of Toronto
Wenger Stefan
University of Fribourg
Young Robert
New York University
PERSON
AFFILIATION
PERIOD OF STAY
 
 
 
 
 
 
 
 
 
PERSON
AFFILIATION
 Topping Peter
 University of Warwick
 
 
 
PERSON
AFFILIATION
PERIOD OF STAY
 Andre Neves
 University of Chicago
 
 
 
 
 
 
 

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): Topic tba


The online application platform to participate in the school will be accessible shortly after the due date to apply for participation in the trimester program has expired.

International Conference "Differential geometry beyond Riemannian manifolds” 

March 24 - 28, 2025

Venue: Lipschitz lecture hall, 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)
  • 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)
  • Alexander Nabutovsky (University of Toronto)
  • Pierre Pansu (Paris-Saclay University)
  • Anton Petrunin (Pennsylvania State University)
  • Melanie Rupflin (University of Oxford)
  • Roman Sauer (Karlsruhe Institute of Technology)


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 exclusively in the conference will be accessible shortly after the due date to apply for participation in the trimester program has expired on July 1st, 2024.

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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