Cluster algebras with coefficients and relative Calabi-Yau structures
By Bernhard Keller
Categorified Crystal Bases on Localized Quantum Coordinate Rings and Cellular Crystals
By Toshiki Nakashima
Appears in collection : Symmetry in Geometry and Analysis
I will discuss a few problems related to harmonic analysis on homogeneous spaces, motivated by a recent survey article by Toshiyuki Kobayashi. Eventually, I will focus on some unusual integral transformations that relate relative characters on different homogeneous spaces, and will offer a speculative interpretation based on the idea of quantization.