## Sapporo Workshop on Non-Commutative Analysis and Applications to Complex Phenomena

- Date
- -
- Place
- Organizer
- Dates: September 1 (Thu) 13:30 – September 3 (Sat) 17:00

Venue: Department of Mathematics, Hokkaido University, Building No.3 202

Satellite Seminar: Introductory Lectures on Quantum Probability

Organizing Committee:

Asao Arai (Hokkaido University) arai(at)math.sci.hokudai.ac.jp

Nobuaki Obata (Chair, Tohoku University) obata(at)math.is.tohoku.ac.jp

Jaeseong Heo (Co-Chair, Hanyang University) hjs(at)hanyang.ac.kr

Sponsored by

Department of Mathematics, Hokkaido University

JSPS-NRF Japan-Korea Basic Scientific Cooperation Program (2010-2012) “Non-commutative Harmonic Analysis with Applications to Real World Complex Phenomena”

Grant-in-Aid for Scientific Research (2011-2014)

Grant-in-Aid for Challenging Exploratory Research (2011-2013)

Program

September 1 (Thu)

13:30-14:20 Hun Hee Lee (Chungbuk National University, Korea)

Graph interpretation of q-gaussians

14:30-15:20 Jaeseong Heo (Hanyang University, Korea)

Bounded homomorphisms of C*-algebras

15:30-16:20 Takahiro Hasebe (Kyoto University)

On a class of explicit Cauchy-Stieltjes transforms related to monotone stable and free Poisson laws

16:30-17:20 Hiroaki Yoshida (Ochanomizu University)

The free Poisson limit by the free Fisher information distance

September 2 (Fri)

09:40-10:30 Fumio Hiai (Tohoku University)

Higher order extension of Löwner's theory: Operator k-tone functions

(joint work with Uwe Franz and Eric Ricard)

10:40-11:30 Abdessatar Barhoumi (Sousse University, Tunisia)

Quantum Euler operator and associated heat equation

11:40-12:30 Asao Arai (Hokkaido University)

Hilbert space representations of a non-commutative algebra indexed by a real anti-symmetric matrix

14:00-14:50 Un Cig Ji (Chungbuk National University, Korea)

Quantum stochastic calculus associated with quadratic quantum white noises

15:00-15:50 Hideo Kubo (Tohoku University)

Asymptotic behavior for nonlinear Dirac equation with small initial data

16:00-16:50 Sangho Kum (Chungbuk National University, Korea)

The resolvent average on symmetric cones

September 3 (Sat)

10:00-10:50 Hyun Jae Yoo (Hankyong National University, Korea)

Glauber dynamics on the cycles: A quantum probabilistic view

11:00-11:50 Akihito Hora (Nagoya University)

Harmonic functions on branching networks for some big groups

13:30-14:20 Hayato Saigo (Nagahama Institute of Bio-Science and Technology)

Noncommutative umbral calculus

14:30-15:20 Etsuo Segawa (University of Tokyo)

Quantum probabilistic approach to quantum walks on spidernets

15:30-16:20 Norio Konno (Yokohama National University)

Quantum walks on a path space

16:30 Closing