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
PERSON |
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| Alattar Mohammad Antonelli Giaocchino Anttila Riku Assimos Martins Renan Bamler Richard Bate David Braun Mathias Breiner Christine Caputo Emanuele Cavalletti Fabio Chang Alan Che Moguel Mauricio Cheng Herng Yi Cucinotta Alessandro Dybowski Michal Eriksson-Bique Sylvester Fässler Katrin Fraser Aliana Garg Manisha Gravel Katherine Hamenstädt Ursula Hanke Bernhard Hupp Erik Ketterer Christian Lang Urs Liokumovich Yevgeny Lytchak Alexander Magnabosco Mattia Manin Fedor Marti Denis Meier Damaris Mese Chikako Mondello Ilaria Mondino Andrea Nabutovsky Alexander Pallier Gabriel Pansu Pierrer Papazoglou Panagiotis Perales Raquel Radeschi Marco Rigoni Chiara Rotman Regina Rupflin Melanie Ryborz Vanessa Saemann Clemens Sagman Nathaniel Sauer Roman Saric Dragomir Schick Thomas Seidel Jona Semola Daniele Shuttleworth Brendan Stadler Stephan Staffa Bruno Swenson Eric Song Antonie Soultanis Teri Takac Jakub Talipov Talant Topping Peter Vikman Noa Wenger Stefan Young Robert Zeidler Rudolf Zhu Xingyu |
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Topping Peter |
University of Warwick |
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Andre Neves |
University of Chicago |
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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 will be accessible from July 2nd to October 14th, 2024 under https://him-application.uni-bonn.de/application-school-geometry-2025/
In case of questions concerning services and administration, please contact him-coordination@hcm.uni-bonn.de
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.
- 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)
- Chikako Mese (Stanford University)
- 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)
- 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 will be accessible from July 2nd to October 31st, 2024 under https://him-application.uni-bonn.de/app-ic-diff-geo-2025/
In case of questions concerning services and administration, please contact him-coordination@hcm.uni-bonn.de
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.