Ryosuke Sato
I am a postdoctoral fellow at Department of Physics, Faculty of Science and Engineering, Chuo University.
(email: r.sato@phys.chuo-u.ac.jp )
My research interests encompass Operator Algebra Theory and Probability Theory. Specifically, I focus on Asymptotic Representation Theory, which study representations of inductive limits of compact groups, and its extension to Quantum Groups. From the perspective of Operator Algebra Theory, this area intersects with the Representation Theory of AF (approximately finite-dimensional) algebras, while Probability Theory plays a significant role in this field. Additionally, I am intrigued by Probability Theory with algebraic origins, such as stochastic processes and point processes, which emerge within the framework of Representation Theory.
Last Update : December 2/ 2024
curriculum vitae
born: 9/1994 @ Kumamoto, Japan
education:
3/2017: B.Sc., Mathematics @ Kyushu University
3/2019: M.Sc., Mathematics @ Kyushu University
3/2022: Ph.D., Mathematics @ Nagoya University (supervisor: Prof Yoshimichi Ueda)
Currently, I am a postdoctoral fellow at Chuo University.
schedule
schedule (plan) : *= I will give a presentation
schedule (past)
2024
- 1/6-7: Yonago, Tottori: Logic and Mathematics 2024
- 1/20-21: Nara Women's Univ, Nara: 無限粒子系、確率場の諸問題XVIII
- 1/22-24: RIMS, Kyoto: Operator algebras and symmetries
- 2/26-3/1: Nagoya Univ, Aichi: seminar talk/ research discussion
- 3/14-19: National Center for Theoretical Sciences, Taiwan: research discussion
- 6/3-7: RIMS, Kyoto: seminar talk/ research discussion/ to attend the intensive lecture by Sho Matsumoto
- 6/23-29: Aalto Univ., Finland: seminar talk/ research discussion
- 8/26-30: Saitama: Young Summer Seminar 2024
- 9/3-6: Osaka, MSJ Autumn Meeting 2024
- 9/17-20: Hokkaido Univ., Hokkaido: Junior Meeting on Functional Analysis 2024
- 9/29-10/12: CIRM, Marseille: Deformations of determinantal point processes/ Algebraic aspects of random matrices
- 10/15-18: Kyushu Univ., Fukuoka: research discussion/ Non-commutative Probability Theory and Related Topics 2024
- 11/11-14: Kyoto Univ. RIMS, Kyoto: Rigorous Statistical Mechanics and Related Topics
- 11/22-24: Nagoya Univ., Aichi: 作用素論・作用素環論研究集会
- 11/29: Kyushu Univ., Fukuoka: Operator Algebra and Ergodic Theory Seminar
2023
- 1/8-9: Yonago, Tottori: Logic and Mathematics 2023
- 1/16-20 : Kyoto Univ, Kyoto: Lecture by Prof Voiculescu
- 1/26-29 : Fukuoka Univ, Fukuoka: Fukuoka univ. probability seminar/ research discussion
- 5/11-15 : Tokyo Institute of Technology, Tokyo: Algebraic Lie Theory and Representation Theory 2023
- 6/5-9 : RIMS, Kyoto: Random Matrices and Applications
- 8/28-31 : Kyoto Sangyo University, Kyoto: Probability Theory Young Summer Seminar 2023
- 9/5-8 : Kyoto Institute of Technology, Kyoto : Junior Meeting on Functional Analysis 2023
- 9/11-13 : RIMS, Kyoto : Recent Developments in Operator Algebras
- 10/18-20 : RIMS, Kyoto : Connections Workshop: Stochastic Processes and Related Fields
- 10/23-25 : RIMS, Kyoto : The 21st Symposium Stochastic Analysis on Large Scale Interacting Systems
- 10/28-30 : Shinshu Univ., Nagano : Non-Commutative Probability and Related Topics 2023
- 11/8-10: ISM, Tokyo: Non-commutative Probability Theory, Random Matrix Theory and their Applications
- 11/27-28: Kyushu Univ., Fukuoka: Operator Algebras and Ergodic Theory Seminar
- 12/28-12/1: Nagoya Univ. : Intensive lecture by Prof. Collins/ Random matrices and Free Probability Workshop 2023
- 12/4-22 : National Univ. of Singapore., Singapore : Random Interacting Systems, Scaling Limits, and Universality
2022
- 1/13-21 : Kyoto Univ, Kyoto : Kyoto Operator Algebra Workshop/ research discussion
- 6/20-24 : Kyoto Univ, Kyoto : Workshop on Non-commutative Probability/ reserch discussion
- 6/25 : Chuo Univ, Tokyo : Crossroad of Statistical Physics and Probability Theory
- 7/25-29 : Matsumoto-shi, Shinshu Univ, Nagano: small workshop/ research discussion
- 8/20-22 : Tokyo Univ, Tokyo : Summer School Mathematical Physics 2022
- 8/30-9/2 : Kyoto-shi, Kyoto: Juniour Meeting on Functional Analysis 2022
- 10/31-11/4 : ENS de Lyon, France : The multiple facets of six vertex models
- 11/7-8: Hokkaido Univ, Hokkaido : Non-commutative Probability and Related Topics 2022
- 11/15-18: RIMS, Kyoto : Rigorous Statistical Mechanics and Related Topics 2022
- 11/28-12/2: Kyoto Univ, Kyoto : Kyoto Operator Algebra Seminar/ research discussion
2021
- 11/8-12 : Kyoto Univ, Kyoto : discussion
- 11/26-28 : Kyushu Univ, Fukuoka : Operator thoery and Operator algebras 2021
2020
- 1/20-22 : Kyoto Univ, Kyoto : RIMS workshop
- 1/25-26 : Nara Women's Univ, Nara : 無限粒子系、確率場の諸問題XV
2019
- 3/9-10 : Osaka Kyoiku Univ, Osaka
- 3/14-31 : CRM, Montreal, Canada : New Developments in Free Probability and Applications
- 4/1-4 : MIT, Boston, United States : seminar talk, Integrable Probability Working Group
- 5/27-6/8 : UVA, Varginia, United States : Virginia Integrable Probability Summer School
- 6/17-21 : Tokyo Institute of Technology, University of Tokyo(6/19), Tokyo : Operator Algebra Seminar at the University of Tokyo
- 6/25-27 : Kyoto Univ, Kyoto : Kyoto Operator Algebra Seminar
- 7/29-30 : Shinshu Univ, Nagano : Workshop around Combinatorics at Sinshu University
- 8/19-23 : Kyoto Univ, Kyoto : Interactions between commutative and non-commutative probability
- 8/26-30 : Sansatei, Miyagi : Probability Theory Summer School 2019
- 9/4-7 : Yamaguchi : Combinatorics Summer School 2019
- 9/24-27 : Ise, Mie : Junior Meeting on Functional Analysis 2019
- 11/21-23 : Ochanomizu Univ, Tokyo : Non-commutative Probability and Related Fields
- 12/9 : Keio Univ, Kanagawa : Tokyo Probability Seminar
papers and preprints
-
Quantized Vershik-Kerov theory and quantized central measures on branching graphs ,
Journal of Functional Analysis 277.8 (2019) 2522-2557
[arXiv:1804:02644]
-
Type classification of extremal quantized characters,
Ergodic Theory Dynam. Systems (2021), 41.2(2021), 593-605
[arXiv:1903.07454]
-
Inductive limits of compact quantum groups and their unitary representations,
Letters in Mathematical Physics111 (2021)
[arXiv:1908.03988]
- Markov semigroups on unitary duals generated by quantized characters,
[arXiv:2102.09082] (2021)
- Characters of infinite-dimensional quantum classical groups: BCD cases,
Infinite Dimensional Analysis, Quantum Probability and Related Topics 24.4(2021)
[arXiv:2106.12771]
- Multiplicative characters and Gaussian fluctuation limits,
SIGMA 19(2023), 072
[arXiv:2210.06024]
- GICAR algebras and dynamics on determinantal point processes: discrete orthogonal polynomial ensemble case,
Communications in Mathematical Physics 405, 115(2024)
[arXiv:2309.01117]
-
[with B. Collins, T. Giordano ]
Variations on quantum de Finetti theorems and operator valued Martin boundaries: a Choquet-Deny approach,
[arXiv:2402.09713] (2024)
talks
2024
-
Topics on Young diagrams in probability theory,
Logic and Mathematics 2024
@ Tottori, Jan. 2024
-
Stochastic dynamics on DPPs: From the viewpoint of operator algebras,
無限粒子系、確率場の諸問題XVIII
@ Nara Women's Univ., Jan. 2024
-
CAR algebras and stochastic dynamics on determinantal point processes,
Kyoto Operator Algebra Seminar
@RIMS, June 2024
-
CAR algebras and stochastic processes on random point processes,
Seminar on Mathematical Physics at Aalto University
@Aalto University, June 2024
-
The quantum de Finetti theorem and operator-valued Martin boundaries,
Mini Symposium on `Determinantal point processes, Quantum Mechanics and Signal Analysis
@Chuo University, July 2024
-
Stochastic dynamics on DPPs from the viewpoint of operator algebras,
Bielefeld--Melbourne--Seoul Random Matrix Seminar
(online), Aug. 2024
-
CAR algebras and stochastic dynamics on random point processes,
Autumn Meeting 2024
@Osaka University, Sep. 2024
-
On CLT for universal enveloping algebras,
Junior Meeting on Functional Analysis 2024
@Hokkaido University, Sep. 2024
-
Non-commutative random walks and the quantum de Finetti theorem,
Non-commutative Probability and Related Topics 2024
@Kyushu University, Oct. 2024
-
Dynamical relation between determinantal point processes and operator algebras,
Rigorous Statistical Mechanics and Related Topics
@Kyoto University, RIMS, Nov. 2024
-
The quantum de Finetti theorem and operator-valued Martin boundaries,
Tokyo Operator Algebra Seminar
@The University of Tokyo, Nov. 2024
-
The quantum de Finetti theorem and operator-valued Martin boundaries,
作用素論・作用素環論研究集会
@Nagoya University, Nov. 2024
-
The quantum de Finetti theorem and operator-valued Martin, boundaries,
Operator Algebra and Ergodic Theory Seminar
@Kyushu University, Nov. 2024
2023
-
Characters of groups and random works,
Logic and Mathematics 2023
@ Tottori, Jan, 2023
-
Markov dynamics on unitary duals of compact quantum groups,
Fukuoka univ. probability seminar
@ Fukuoka Univ., Jan, 2023
-
On multiplicative characters of infinite-dimensional quantum groups,
Algebraic Lie Theory and Representation Theory 2023
@ Tokyo Institute of Technology, May, 2023
-
Determinantal point processes and gauge-invariant CAR algebras,
Random Matrices and Applications
@RIMS, June 2023
-
DPP and GICAR algebras,
Probability Theory Young Summer Seminar 2023
@Kyoto Sangyo Univ., Aug, 2023
-
A survey of the harmonic analysis of the infinite symmetric group,
Junior Meeting on Functional Analysis 2023
@Kyoto Institute of Technology, Sep, 2023
-
GICAR algebras and dynamics on determinantal point processes: orthogonal polynomial ensemble case,
Recent Developments in Operator Algebras
@RIMS, Sep, 2023
-
Stochastic dynamics on DPPs and GICAR algebras,
The 21st Symposium Stochastic Analysis on Large Scale Interacting Systems
@RIMS, Oct, 2023
-
Dynamics on DPPs and GICAR algebras,
Non-Commutative Probability and Related Topics 2023
@Shinshu Univ. Oct, 2023
-
On the interaction between determinantal point processes and operator algebras,
Non-commutative Probability Theory, Random Matrix Theory and their Applications
@ISM, Nov. 2023
-
GICAR algebras and dynamics on determinantal point processes,
Operator Algebras and Ergodic Theory Seminar
@Kyushu Univ., Nov. 2023
-
Asymptotic representation theory and free probability theory,
Random Matrices and Free Probability Workshop 2023
@Nagoya University, Nov. 2023
-
Stochastic dynamics on DPPs and GICAR algebras,
Random Interacting Systems, Scaling Limits, and Universality
@ National University of Singapore, Dec. 2023
2022
-
Character theory of the BC-type infinite-dimensional quantum groups and Markov semigroups generated by characters of quantum groups,
Kyoto Operator Algebra Theory Workshop
@ Kyoto Univ, Jan, 2022
-
CAR algebras and determinantal point porcesses,
Juniour Meeting on Functional Analysis 2022
@ Kyoto-shi, Sep, 2022
-
Multiplicative characters and Gaussian fluctuation limits,
Non-commutative Probability and Related Topics 2022
@ Hokkaido Univ, Nov, 2022
-
Multiplicative characters and Gaussian fluctuation limits,
Operator algebra seminar
@ the University of Tokyo, Nov, 2022
-
Multiplicative characters and Gaussian fluctuation limits,
Kyoto Operator Algebra Seminar
@ Kyoto University, Nov, 2022
2021
-
Markov processes on duals of quantum groups,
Operator Algebras and Quantum Dynamical Systems
@ online, Feb 2021
-
Markov dynamics on unitary duals of compact quantum groups,
Functional Analysis Seminar
@LMB, March 2021
-
Character theory of q-deformed infinite-dimensional quantum groups,
Algebraic Lie Theory and Representation Theory 2021
@online, June 2021
-
Markov semigroups from characters of quantum groups,
Probability Young Seminar 2021
@online, August 2021
-
On Gaussian free fields,
Functional Analysis Juniour Meeting 2021
@online, September 2021
-
Markov semigroups from characters of quantum groups,
Kyushu probability theory seminar 2021
@online, November 2021
2020
2019
-
Extremal quantized characters and biorthogonal ensembles,
New Developments in Free Probability and Applications (Workshop2 : the applied perspective)
@CRM, March 2019
-
Asymptotic representation theory of inductive systems of compact quantum groups,
Integrable Probability Working Group
@ MIT, April 2019
-
Type classification of extremal quantized characters,
Quantum Analysis Seminar
@ Nagoya Univ, April 2019
-
Ergodic theoretical aspects of q-central probability measures,
Nagoya Probability Seminar
@ Nagoya Univ, May 2019
-
Asymptotic representation theory for quantum groups,
Virginia Integrable Probability Summer School
@ UVA, May&June 2019
-
Type classification of extreme quantized characters,
Operator algebra seminar
@ The university of Tokyo, June 2019
-
Type classification of extremal quantized characters,
Kyoto Operator Algebra Seminar
@ Kyoto University, June 2019
-
The Riemann-Hilbert problem,
Workshop around Combinatorics at Shinshu University
@ Shinshu University, July 2019
-
q-Schur generating functions and tensor product representations
Interactions between commutative and non-commutative probability
@ Kyoto University, August 2019
-
Stochastic point processes from representation theory,
Probability Theory Young Summer School 2019
@ Miyagi, August 2019
-
Schur polynomials and point processes,
Combinatorics Summer School 2019
@Yamaguchi, September 2019
-
On inductive limits of operator algebras (after Z. Takeda),
Junior Meeting on Functional Analysis 2019
@Mie, September 2019
-
Ergodic theoretical aspects of asymptotic representation theory,
Nomcommutative probability and related fields
@Ochanomizu Univ, Tokyo, November 2019
-
Ergodic theoretical classification of q-central probability measures,
Tokyo Probability Seminar
@Keio University, 12/9 2019
2018
-
Quantized Vershik-Kerov theory and q-deformed Gelfand-Tsetlin graph,
Nagoya Univ Quantum Analysis Seminar,
@Nagoya University, April 2018.
-
Quantized Vershik-Kerov theory and q-deformed Gelfand-Tsetlin graph [poster],
Random Matrices and their applications ,
@Kyoto University, May 2018.
-
Introduction to Macdonald Processes,
Probability theory Young Summer School 2018,
@Aich, August 2018.
-
Harmonic Analysis on the infinite symmetric group (after Kerov-Olshanski-Vershik/ Borodin-Olshanski),
53th Functional Analysis Meeting ,
@Kyoto, August 2018.
-
Quantum group analogue of the Vershik-Kerov theory and the probability theory of the Gelfand-Tsetlin graph,
Recent Developments in Operator Algebras,
RIMS,
@Kyoto University, September 2018.
-
A quantization of the Vershik-Kerov theory and q-central probability measures,
Hokkaido Univ Monday Analysis Seminar
@Hokkaido University, November 2018.
2017
links : Makoto Katori (my host researcher)