The Willmore ConjectureJahresbericht der Deutschen Mathematiker-Vereinigung - Tập 116 - Trang 201-222 - 2014
Fernando C. Marques, André Neves
The Willmore conjecture, proposed in 1965, concerns the quest to find the best torus of all. This problem has inspired a lot of mathematics over the years, helping bringing together ideas from subjects like conformal geometry, partial differential equations, algebraic geometry and geometric measure theory. In this article we survey the history of the conjecture and our recent solution through the ...... hiện toàn bộ
The Modular Isomorphism Problem: A SurveyJahresbericht der Deutschen Mathematiker-Vereinigung - - 2022
L. Margolis
AbstractThe Modular Isomorphism Problem asks if an isomorphism of group algebras of two finite$p$p-groups$G$Gand$H$Hover a field of characteristic$p$p, implies an isomorphism of the groups$G$ hiện toàn bộ
Approximation Properties of Receding Horizon Optimal ControlJahresbericht der Deutschen Mathematiker-Vereinigung - Tập 118 - Trang 3-37 - 2016
Lars Grüne
In this survey, receding horizon control is presented as a method for obtaining approximately optimal solutions to infinite horizon optimal control problems by iteratively solving a sequence of finite horizon optimal control problems. We investigate conditions under which we can obtain mathematically rigorous approximation results for this approach. A key ingredient of our analysis is the so-calle...... hiện toàn bộ
The Singularity Theorems of General Relativity and Their Low Regularity ExtensionsJahresbericht der Deutschen Mathematiker-Vereinigung - - 2022
Roland Steinbauer
On the occasion of Sir Roger Penrose’s 2020 Nobel Prize in Physics, we review the singularity theorems of General Relativity, as well as their recent extension to Lorentzian metrics of low regularity. The latter is motivated by the quest to explore the nature of the singularities predicted by the classical theorems. Aiming at the more mathematically minded reader, we give a pedagogical introductio...... hiện toàn bộ
Vorwort Heft 1-2011Jahresbericht der Deutschen Mathematiker-Vereinigung - Tập 113 - Trang 1-2 - 2010
Hans-Christoph Grunau