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
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 |
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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 geodeiscs 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
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 the school will be accessible shortly after the due date to apply for participation in the trimester program has expired.
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.
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.
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.