Mini-Workshop: Degeneration Techniques in Representation Theory

  • Evgeny Feigin

    National Research University Higher School of Economics, Moscow, Russian Federation
  • Ghislain Fourier

    RWTH Aachen, Germany
  • Martina Lanini

    Università di Roma Tor Vergata, Italy

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.

Cite this article

Evgeny Feigin, Ghislain Fourier, Martina Lanini, Mini-Workshop: Degeneration Techniques in Representation Theory. Oberwolfach Rep. 16 (2019), no. 4, pp. 2869–2909

DOI 10.4171/OWR/2019/46