generously the Priority Program SPP 1388 in Representation Theory. The core

principles of the projects realized in the framework of the priority program have been

categorification and geometrization, this is also reflected by the contributions to this

volume.

Apart from the articles by former postdocs supported by the priority program, the

volume contains a number of invited research and survey articles, many of them are

extended versions of talks given at the last joint meeting of the priority program in

Bad Honnef in March 2015. This volume is covering current research topics from the

representation theory of finite groups, of algebraic groups, of Lie superalgebras, of

finite dimensional algebras and of infinite dimensional Lie groups.

Graduate students and researchers in mathematics interested in representation

theory will find this volume inspiring. It contains many stimulating contributions to

the development of this broad and extremely diverse subject.}, address = {Zürich}, editor = {Littelmann, Peter and Krause, Henning and Malle, Gunter and Neeb, Karl-Hermann and Schweigert, Christoph}, faupublication = {yes}, isbn = {978-3-03719-171-2}, keywords = {algebraic groups; bounded and semibounded representations; categorification; character formulae; cluster algebras; Deligne–Lusztig theory; flat degenerations; geometrization; higher representation theory; highest weight categories; infinite dimensional Lie groups; local-global conjectures; special varieties; topological field theory}, peerreviewed = {automatic}, publisher = {European Mathematical Society}, series = {EMS Congress Reports}, title = {{Representation} {Theory} - {Current} {Trends} and {Perspectives}}, year = {2017} }