Activities

The intention of this workshop is to explore the fundamental role of Dirac operators, in particular their index theory and their spectral theory, in a variety of areas of Mathematics, including topology, Riemannian, Lorentzian and symplectic geometry, foliations, and representation theory. The goal is to promote this central role of Dirac operators and to employ it in order to foster the interaction between mathematicians in different areas. The meeting will promote new collaborations amongst people working in different fields, but with a common theme and angle of attack.

Start: Monday, 27/06/2022 09:00 am
End: Friday, 01/07/2022 01:30 pm
Related project(s):
37Boundary value problems and index theory on Riemannian and Lorentzian manifolds

The conference will be held in honor of Karsten Grove's 75th birthday.

The conference "Differential geometry and geometric analysis" will take place June 20 to June 24, 2022 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, 20/06/2022 09:00 am
End: Friday, 24/06/2022 06:00 pm
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds

Start: Monday, 13/06/2022 09:00 am
End: Friday, 17/06/2022 12:00 pm
Related project(s):
37Boundary value problems and index theory on Riemannian and Lorentzian manifolds41Geometrically defined asymptotic coordinates in general relativity

The conference at KIT will highlight recent advances in differential geometry and geometric analysis, aiming to foster communication between experts and young researchers as well as identifying potential new directions of further research in these fields.

Start: Tuesday, 07/06/2022 09:00 am
End: Friday, 10/06/2022 03:00 pm
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds

Start: Friday, 20/05/2022 12:00 pm
End: Friday, 20/05/2022 07:00 pm
Related project(s):
03Geometric operators on a class of manifolds with bounded geometry05Index theory on Lorentzian manifolds41Geometrically defined asymptotic coordinates in general relativity

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

Start: Monday, 16/05/2022 11:00 am
End: Friday, 20/05/2022 01:00 pm
Related project(s):
58Profinite perspectives on l2-cohomology

The workshop is the second of a series of meetings for researchers in the field of Higgs bundles. It is intended to integrate young scientists and to give them the opportunity to present their work and to establish new contacts. Applications for financial support for young participants are open until May 2nd.

Start: Friday, 13/05/2022 02:00 pm
End: Saturday, 14/05/2022 02:00 pm
Related project(s):
55New hyperkähler spaces from the the self-duality equations69Wall-crossing and hyperkähler geometry of moduli spaces77Asymptotic geometry of the Higgs bundle moduli space II

The focus of this workshop will submanifold theory, isometric actions on symmetric spaces, polar actions and foliations, and related topics. The aim is bring experts and young researches together.

Start: Monday, 28/03/2022 12:51 pm
End: Wednesday, 30/03/2022 12:52 pm
Related project(s):
74Rigidity, stability and deformations in nearly parallel G2-geometry

This is the third installment of the THGT conference series. As its predecessors, the conference takes place in Bielefeld in spring, and as before it welcomes researchers studying groups through their interactions with topology and homology, as well as people interested in entering the subject.

Start: Monday, 28/03/2022 10:00 am
End: Friday, 01/04/2022 02:00 pm
Related project(s):
39Geometric invariants of discrete and locally compact groups60Property (T)

This conference will bring together researchers in Differential Geometry, in Geometric Analysis, and in their applications. The general focus of the conference will be on recent results on manifolds with bounded geometry, on singular stratified spaces and on the geometry and analysis on these spaces. More concretely, we will invite researchers from several areas, including: complete manifolds with special holonomy and their moduli spaces, stratified spaces, index theory on Riemannian and Lorentzian manifolds, spectral theory of geometric differential operators, relations between geometric analysis and conformal geometry, such as the Yamabe problem on singular and non-compact spaces and generalizations thereof. We envision that the interactions between the participants in this Conference will lead to applications to limits and collapse of manifolds with curvature bounds, moduli spaces, general relativity, the wave equation on curved spacetimes, as well as to singular partial differential equations in general. One of the conference's main goals will be to foster interactions between these various areas of mathematics.

Start: Monday, 28/03/2022 09:00 am
End: Friday, 01/04/2022 05:00 pm
Related project(s):
03Geometric operators on a class of manifolds with bounded geometry