Anglo-Franco-German in Representation Theory and its Applications

点击翻译按钮获取中文摘要

Representation theory is one of the most active fields of mathematics today with applications in many of the sciences and interactions with many other mathematical disciplines. This beautiful subject originated in a letter to Frobenius by Dedekind more than a century ago. Roughly speaking, Representation Theory can be thought of as the study of basic symmetries in Mathematics and Physics, symmetries that can take many forms: groups, associative algebras, Hopf algebras or Lie algebras to name a few. A striking feature of Representation Theory is its rich history of interactions and applications to other topics in mathematics and to all sciences. For instance, in the last few years only, Representation Theory has fruitfully interacted with Geometry, Model Theory, Number Theory, Probability and Theoretical Physics to name a few. Representation Theory through its great diversity can be used to unify different themes and is currently at the heart of an intense research activity (through worldwide research programmes such as the Langlands programme). Given this background, it is necessary to provide researchers in Representation Theory with opportunities to develop a broader vision, and for other researchers to learn about the latest developments in Representation Theory. The proposed network will serve as a catalyser to stimulate interactions between Representation Theory and other areas, through the organisation of various interdisciplinary/intradisciplinary events in a coordinated effort with researchers from France and Germany.