Mini-Workshop: Degeneration Techniques in Representation Theory

Oberwolfach Reports, vol. 16, pp. 2869–2909

Abstract

Modern Representation Theory has numerous applications in many mathematical areas such as algebraic geometry, combinatorics, convex geometry, mathematical physics, probability. Many of the object and problems of interest show up in a family. Degeneration techniques allow to study the properties of the whole family instead of concentrating on a single member. This idea has many incarnations in modern mathematics, including Newton-Okounkov bodies, tropical geometry, PBW degenerations, Hessenberg varieties. During the mini-workshop Degeneration Techniques in Representation Theory various sides of the existing applications of the degenerations techniques were discussed and several new possible directions were reported.

Authors 3

1. Evgeny Feigin

   National Research University Higher School of Economics

   Affiliation as printed

   National Research University Higher School of Economics, Moscow, Russian Federation

2. Ghislain Fourier Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen, Germany

3. Martina Lanini

   University of Rome Tor Vergata

   Affiliation as printed

   Università di Roma Tor Vergata, Italy