Date/Time
16 May 2027 - 21 May 2027
Organized by
Istvan Kadar (ETH Zurich), Christoph Kehle (MIT, UZH), Lionor Kehrberger (MPI Leipzig and Leipzig U.), Birgit Schörkhuber (Innsbruck U,)
Event page & registration
https://indico.global/event/16585/
Description
This conference aims to explore shared structures, exchange methods, foster collaborations and, more generally, bring together researchers from the two distinct, yet closely related research fields of mathematical general relativity and nonlinear dispersive wave equations.
The conference program will put special emphasis on the stability of and the dynamics near special solutions, such as black holes, solitons, and threshold states, with a view toward understanding local behavior in moduli space and classifications such as soliton resolution within symmetry-restricted settings.
Another central theme will be the formation and structure of singularities, including both Type I and Type II blow-up dynamics in dispersive equations, and the appearance of spacelike and locally naked singularities in general relativity. These phenomena are linked to deep questions about the breakdown of solutions and are naturally related to further problems connected to the global geometry of the maximal globally hyperbolic development.
The conference will also address the interaction of multiple geometric or physical structures, such as multi-soliton configurations, or the dynamics of small black holes evolving within a larger background spacetime. Techniques from geometric and microlocal analysis, energy methods, and moduli space dynamics will be among the key tools discussed.
By bringing together perspectives from both general relativity and dispersive PDEs, the event aims to identify promising new directions, facilitate knowledge transfer, and support early-career researchers entering this rich and active area of mathematical analysis by providing new perspectives.
Location
SwissMAP Research Station, Les Diablerets, Switzerland
