Konferenzservice Mandl

Zusammenfassung: The geometric Langlands correspondence lies at the core of one of the most significant current interactions between geometry and physics, integrating far-reaching discoveries and conjectures originating in physics, geometry, representation theory and arithmetic. This advanced school is designed to deliver training on this interdisciplinary topic. It is targetted at graduate students, postdocs and researchers working in geometry and physics at an international level.

Zusammenfassung: The mathematical work concerned with or inspired by General Relativity has increased substantially over the years and is still expanding, thanks to the wide variety of interesting and challenging problems that General Relativity can offer in several distinct areas of Mathematics, for example PDEs, Geometry and Numerical Analysis. Fundamental open questions in General Relativity, such as the stability of Kerr, the formation and structure of Black Holes and the Cosmic Censorship Conjecture, require for their understanding a deep analysis of the global behavior of solutions to the Einsten equations.

This conference brings together leading experts on General Relativity/non-linear wave equations and will cover topics of current and future research in these fields.

Zusammenfassung: This ESF-EMS-ERCOM Conference aims to highlight some of the most important advances in Teichmüller theory. This theory will be considered both from the geometric point of view (Thurston's theory and its ramifications) and from the analytic point of view (the Ahlfors-Bers theory and its ramifications). The relation with physics will also be emphasized.