Activities

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, 27/06/2022 09:30 am
End: Friday, 01/07/2022 04:30 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

This is the second meeting in a series of seminars on Geometric Analysis jointly organized by the Universities of Freiburg, Heidelberg, Stuttgart and Tübingen. It is intended to be a regular meeting of researchers from the South-West with an interest in the fields of geometry and analysis.

Start: Friday, 24/01/2020 01:00 pm
End: Friday, 24/01/2020 06:00 pm
Related project(s):
03Geometric operators on a class of manifolds with bounded geometry32Asymptotic geometry of the Higgs bundle moduli space

This workshop is intended as the continuation of a series of highly successful international conferences centered around the analysis and geometry of gauge-theoretically defined moduli spaces.

Gauge-theoretically defined moduli spaces often exhibit interesting geometry at infinity. In many interesting cases they are non-compact, carry special metrics (often hyperkähler) and limit to certain asymptotic models. Their description requires tools from geometry and global analysis.

We intend to bring together a number of internationally renowned experts as well as younger researchers in the field.

Start: Monday, 22/07/2019 09:30 am
End: Friday, 26/07/2019 01:00 pm
Related project(s):
07Asymptotic geometry of moduli spaces of curves13Analysis on spaces with fibred cusps32Asymptotic geometry of the Higgs bundle moduli space

This is the first meeting in a series of seminars on Geometric Analysis jointly organized by the Universities of Freiburg, Heidelberg and Stuttgart. It is intended to be a regular meeting of researchers from the South-West with an interest in the fields of geometry and analysis.

Start: Friday, 19/07/2019 01:00 pm
End: Friday, 19/07/2019 06:00 pm
Related project(s):
03Geometric operators on a class of manifolds with bounded geometry32Asymptotic geometry of the Higgs bundle moduli space

This is the first of two international conferences representing the full scope of research activites within the priority programme Geometry at Infinity. Besides a number of plenary lectures there will be parallel sessions for contributed talks.

Start: Monday, 01/04/2019 09:00 am
End: Friday, 05/04/2019 12:00 am
Related project(s):
01Hitchin components for orbifolds02Asymptotic geometry of sofic groups and manifolds03Geometric operators on a class of manifolds with bounded geometry04Secondary invariants for foliations05Index theory on Lorentzian manifolds06Spectral Analysis of Sub-Riemannian Structures07Asymptotic geometry of moduli spaces of curves08Parabolics and invariants09Diffeomorphisms and the topology of positive scalar curvature10Duality and the coarse assembly map11Topological and equivariant rigidity in the presence of lower curvature bounds12Anosov representations and Margulis spacetimes13Analysis on spaces with fibred cusps14Boundaries of acylindrically hyperbolic groups and applications15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds16Minimizer of the Willmore energy with prescribed rectangular conformal class17Existence, regularity and uniqueness results of geometric variational problems18Analytic L2-invariants of non-positively curved spaces19Boundaries, Greens formulae and harmonic functions for graphs and Dirichlet spaces20Compactifications and Local-to-Global Structure for Bruhat-Tits Buildings21Stability and instability of Einstein manifolds with prescribed asymptotic geometry22Willmore functional and Lagrangian surfaces23Spectral geometry, index theory and geometric flows on singular spaces24Minimal surfaces in metric spaces25The Willmore energy of degenerating surfaces and singularities of geometric flows26Projective surfaces, Segre structures and the Hitchin component for PSL(n,R)27Invariants and boundaries of spaces28Rigidity, deformations and limits of maximal representations29Curvature flows without singularities30Nonlinear evolution equations on singular manifolds31Solutions to Ricci flow whose scalar curvature is bounded in Lp.32Asymptotic geometry of the Higgs bundle moduli space33Gerbes in renormalization and quantization of infinite-dimensional moduli spaces

In the first week of the program, we plan an international conference to highlight recent advances in global Riemannian and metric geometry, topology, and geometric analysis to foster communication between experts and early career researchers from Australia and abroad and identify directions to set the stage for future advances.

In the second week, we plan to hold the first Australian-German workshop on differential geometry with Australian and German geometers who participated in the conference, focussing on new problems and potential directions of future research that came up in the first week.

Organisers: Owen Dearricott ( University of Melbourne), Diarmuid Crowley (University of Melbourne), Thomas Leistner (University of Adelaide), Yuri Nikolayevsky (LaTrobe University), Wilderich Tuschmann (Karlsruhe Institute of Technology).

Start: Monday, 04/02/2019 12:00 am
End: Friday, 15/02/2019 05:05 pm
Related project(s):
01Hitchin components for orbifolds02Asymptotic geometry of sofic groups and manifolds03Geometric operators on a class of manifolds with bounded geometry04Secondary invariants for foliations05Index theory on Lorentzian manifolds06Spectral Analysis of Sub-Riemannian Structures07Asymptotic geometry of moduli spaces of curves08Parabolics and invariants09Diffeomorphisms and the topology of positive scalar curvature10Duality and the coarse assembly map11Topological and equivariant rigidity in the presence of lower curvature bounds12Anosov representations and Margulis spacetimes13Analysis on spaces with fibred cusps14Boundaries of acylindrically hyperbolic groups and applications15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds16Minimizer of the Willmore energy with prescribed rectangular conformal class17Existence, regularity and uniqueness results of geometric variational problems18Analytic L2-invariants of non-positively curved spaces19Boundaries, Greens formulae and harmonic functions for graphs and Dirichlet spaces20Compactifications and Local-to-Global Structure for Bruhat-Tits Buildings21Stability and instability of Einstein manifolds with prescribed asymptotic geometry22Willmore functional and Lagrangian surfaces23Spectral geometry, index theory and geometric flows on singular spaces24Minimal surfaces in metric spaces25The Willmore energy of degenerating surfaces and singularities of geometric flows26Projective surfaces, Segre structures and the Hitchin component for PSL(n,R)27Invariants and boundaries of spaces28Rigidity, deformations and limits of maximal representations29Curvature flows without singularities30Nonlinear evolution equations on singular manifolds31Solutions to Ricci flow whose scalar curvature is bounded in Lp.32Asymptotic geometry of the Higgs bundle moduli space33Gerbes in renormalization and quantization of infinite-dimensional moduli spaces