Topological quantum groups, quantum symmetries and related topics

The program consists of two introductory lecture series given by Professors Zhengwei Liu and Mateusz Wasilewski, a number of research talks and poster presentations, as well as a problem session.

Download abstracts here.

Monday

• 9:00 - 9:50 Liu 1
  Higher Operator Algebras and Quantum Information

• 9:50 - 10:20 Coffee Break

• 10:20 - 11:10 Neshveyev
  Cartan subproduct systems

• 11:10 - 11:40 Chen
  Quantization of higher-homotopy Chern-Simons theory in 4d and derived invariant of 2-ribbons

• 14:00 - 14:50 Mukohara
  On C*-discrete inclusions of simple C*-algebras

• 14:50 - 15:20 Pal
  Weak quantum hypergroups from finite index C*-inclusions

• 15:20 - 15:50 Coffee Break

• 15:50 - 16:40 Wasilewski 1
  Quantum graphs and their symmetries 1

• 16:40 - 17:10 Mandal
  From Non-Commutative Unitary C*-algebra to Universal Quantum Homomorphisms

Tuesday

• 9:00 - 9:50 Liu 2
  Higher Operator Algebras and Quantum Information

• 9:50 - 10:20 Coffee Break

• 10:20 - 10:50 Zhao
  Topological holography for frustration-free Hamiltonians with Reflection Positivity

• 10:50 - 11:40 Freslon
  Quantum symmetries of topological Markov chains

• 14:00 - 14:50 Wasilewski 2
  Quantum graphs and their symmetries 2

• 14:50 - 15:40 Wu
  KMS symmetric quantum Markov semigroups

• 15:40 - 16:10 Coffee Break

• 16:10 - 17:00 De Ro
  Quantum hypergroups arising from ergodic coactions

Wednesday

• 9:00 - 9:50 Liu 3
  Higher Operator Algebras and Quantum Information

• 9:50 - 10:20 Coffee Break

• 10:20 - 11:10 Huang
  Equivalence of states and bimodule quantum channels

• 11:10 - 12:00 Wasilewski 3
  Quantum graphs and their symmetries 3

• Afternoon
  Poster presentations (Lu, Mandal, Sato, Zeng, Zheng) and discussions

Thursday

• 9:00 - 9:50 Youn
  Twisted Fourier transforms on non-Kac compact quantum groups

• 9:50 - 10:20 Coffee Break

• 10:20 - 10:50 Qiu
  Free Wreath Product of Classical Group

• 10:50 - 11:40 Jia
  Generalized Tube Algebras for 2d Topological Order

• 14:00 - 14:50 Hataishi
  Topological Quantum Field Theory from Complex Semi-Simple Quantum Groups

• 14:50 - 15:40 Taipe
  Diagrammatic quantum group actions

• 15:40 - 16:10 Coffee Break

• 16:10 - 16:40 Li
  Renormalization and Quantum Error Correction

• 16:40 - 17:30 Problem Session

Friday

• 9:00 - 9:50 Palcoux
  Watatani's theorem for tensor categories

• 9:50 - 10:20 Coffee Break

• 10:20 - 11:10 Moore
  Representations of the Reflection Equation Algebra

• 11:10 - 11:40 Lee
  Primitive Ideals and Hilbert Space Representations of Quantized Coordinate Algebras of Complex Semisimple Lie Groups

• 14:00 - 14:50 Das
  On the generalized Neshveyev-Stormer rigidity question

• 14:50 - 15:40 Cerclé
  Toda Conformal Field Theories: between probabilistic and algebraic approaches