Activities

The conference will highlight recent advances in differential geometry and geometric analysis with a particular emphasis on new developments in the geometry and topology of positive scalar curvature.

Start: Tuesday, 25/05/2021 09:00 am
End: Friday, 28/05/2021 06:00 pm

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

Start: Thursday, 29/04/2021 02:00 pm
End: Thursday, 29/04/2021 06:00 pm

Start: Thursday, 08/04/2021 03:00 pm
End: Friday, 02/07/2021 04:00 pm
Related project(s):
75Solutions to Ricci flow whose scalar curvature is bounded in L^p II

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

Start: Thursday, 04/03/2021 02:00 pm
End: Thursday, 04/03/2021 06:00 pm
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds52Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

Start: Thursday, 21/01/2021 02:00 pm
End: Thursday, 21/01/2021 06:00 pm
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds52Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II

The Women in Mathematical Physics Workshop at BIRS will have multiple research groups. One of them is on the topic of "Mathematical relativity: static Lorentzian length spaces" and fits into the framework of this SPP. It is led by Carla Cederbaum (Eberhard-Karls-Universität Tübingen, Germany) and Melanie Graf (University of Washington, US).

Applications for the workshop are open until Dec 20, 2019. For more information,

see sites.google.com/site/womathphys/.

Start: Sunday, 20/09/2020 09:00 am
End: Friday, 25/09/2020 04:00 pm
Related project(s):
05Index theory on Lorentzian manifolds

The unifying background of the meeting will be rigid differential-geometric structures, such as conformal and projective structures. This refers both to structures locally modelled on homogeneous spaces and to their curved analogues. One topic will be applications of Cartan connections to locally homogeneous structures, their moduli spaces, and compactifications. A related topic will be conformal compactifications such as Poincare-Einstein manifolds, and analogues for other ambient geometries. Another topic will be group actions preserving such structures and their rigidity.

Start: Monday, 20/07/2020 01:30 pm
End: Friday, 24/07/2020 12:00 pm
Related project(s):
01Hitchin components for orbifolds07Asymptotic geometry of moduli spaces of curves12Anosov representations and Margulis spacetimes26Projective surfaces, Segre structures and the Hitchin component for PSL(n,R)28Rigidity, deformations and limits of maximal representations32Asymptotic geometry of the Higgs bundle moduli space

Isoperimetric comparisons may be used to uncover new properties of curved spaces, and to estimate eigenvalues of operators of physical significance. Isoperimetric estimates have an ancient history, comparing the area and perimeter of regions. Only recently have the complex geometric situations seen in nature begun to be understood. These include excitation energies in quantum mechanics, and the geometry of soap bubbles. The field brings together the theory of PDE, differential geometry and non-smooth metric geometry and has continued to produce novel and exciting

mathematics since antiquity.

This program will gather together experts in such isoperimetric inequalities to progress this challenging, yet recently quite fruitful area. In particular it will facilitate communication between researchers working on different aspects of the field that may not yet be communicating with each other. For example, those researchers with expertise in PDE aspects may not be up to date on the latest results in RCD spaces and vice-versa.

Start: Monday, 13/07/2020 12:00 am
End: Friday, 24/07/2020 12:00 am
Related project(s):
22Willmore functional and Lagrangian surfaces

The conference will be held in honor of Karsten Grove.

The conference "Differential geometry and geometric analysis" will take place June 29 to July 3, 2020 in Florence, Italy.

Several major themes have been selected for the conference, including:

- Analysis in metric spaces, Geometric group theory, Geometric measure theory,

- Geometric theory of PDE's, Group actions on Riemannian manifolds, Manifolds of positive and nonpositive curvature,

- Metrics with special holonomy, Minimal manifolds and Min-Max Theory, Ricci Flow.

Start: Monday, 29/06/2020 09:00 am
End: Friday, 03/07/2020 06:00 pm
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds

Arithmetic groups provide a fruitful link between various areas, such as geometry, topology, representation theory and number theory. Methods from geometry and topology hinge on the fact that arithmetic groups are lattices in Lie groups, whereas the theory of automorphic forms establishes a connection to representation theory and number theory. This interplay is especially intriguing in the setting of hyperbolic 3-manifolds. Indeed, many conjectures in 3-manifold theory tend to be much more accessible for hyperbolic 3-manifolds whose fundamental groups are arithmetic, and conversely, such manifolds provide the simplest set-up in which some of the most exciting new phenomena in the Langlands program can be studied. This conference will bring together researchers with various backgrounds around links between number theory and 3-manifolds. Central topics of the conference are the cohomology of arithmetic groups, the relation between torsion and L2-torsion, profinite invariants of 3-manifolds, and number theoretic ramifications.

Start: Monday, 23/03/2020 11:00 am
End: Friday, 27/03/2020 01:00 pm
Related project(s):
18Analytic L2-invariants of non-positively curved spaces