Groupe de travail : "Fourier Analysis on Quantum Groups"


Organizer: Frank Taipe
Year: 2025
Place: Institute for Advanced Study in Mathematics of HIT (Harbin, China)

Sessions:

10/06 | Frank Taipe
  • Fourier analysis on locally compact abelian groups
  • Kustermans-Vaes locally compact quantum groups and their Kac-Takesaki operators
 
13/06 | Hua Wang
  • Fundamentals on modular theory (1):
    • Left Hilbert algebras
    • Tomita theorem
 
17/06 | Hua Wang
  • Fundamentals on modular theory (2):
    • Tomita algebras
    • Correspondence between left Hilbert algebras and weights
 
20/06 | Patrick Poissel
  • Calderón's complex interpolation
  • Izumi's noncommutative Lp-spaces
 
27/06 | Frank Taipe
  • Pontryagin duality for locally compact quantum groups
  • Lp-Fourier transforms on locally compact quantum groups [after M. Caspers]
 
27/06 | Xuming Wang
  • Segal-Dixmier's noncommutative Lp-spaces
  • Lp-Fourier transforms on Kac-type compact quantum groups
 
01/07 | Kai Zeng
  • Fundamentals on Connes' spatial theory
  • Hilsum's noncommutative Lp-spaces
 
04/07 | Heon Lee
  • Basics on the modular data of the non Kac-type compact quantum group SUq(2)
  • Lp-Fourier transforms on SUq(2)
 
08/08 | Hugues Moyart
  • Basics on crossed products by ℝ
  • Haagerup's noncommutative Lp-spaces