Kirillov Anatoli Kirillov Anatoli

Researcher Number	20314057
Other IDs
Affiliation (based on the past Project Information) *help	2017 – 2021: 京都大学, 数理解析研究所, 研究員 2016: 京都大学, 数理解析研究所, その他
Review Section/Research Field	Principal Investigator Algebra
Keywords	Principal Investigator 代数的組み合わせ論 / 代数学 / Elliptic Functions / Quantum cohomology / Painleve & Bethe Ansatz / Quantum K-theory / Quadratic algebras / Integrable systems / Flag varieties / Cohomology theories … More / FK-algebras / Integrable Systems / Probabilistic models / Tropical RSK / Classical RSK / Grothendieck Calculi / Quantum Schubert / Classical Schubert / FK algebras / Fomin-Kirillov algebras / Hessenberg varies / Painleve equations / Combinatorics / Umemura polynomials / Poschl-Teller models / Painleve Less

Research Projects
(1 results)
Research Products
(26 results)

Combinatorics around Painleve VIPrincipal Investigator
- Principal Investigator
  
  Kirillov Anatoli
- Project Period (FY)
  2016 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University

All 2021 2019 2018 2017 2016

All Journal Article Presentation

[Journal Article] Rigged Configurations and Unimodality2021
- Author(s)
  Anatol N. Kirillov
- Journal Title
  
  Progr. Math.,Representation Theory, Mathematical Physics, and Integrable Systems
  
  Volume: 340 Pages: 453-496
- DOI
  10.1007/978-3-030-78148-4_16
- ISBN
  9783030781477, 9783030781484
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] Rigged Configurations and Catalan, Stretched Parabolic Kostka Numbers and Polynomials : Polynomiality, Unimodality and Log-concavity.2018
- Author(s)
  A.N. Kirillov
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 76 Pages: 303-346
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] Rigged configurations and Catalan, stretched parabolic Kostka numbers and polynomials: polynomiality, unimodality and log-concavity.2018
- Author(s)
  A.N.Kirillov
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 76 Pages: 303-346
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] On Q-deformations of Postnikov-Shapiro algebras2018
- Author(s)
  A.N. Kirillov and Gleb Nenashev
- Journal Title
  
  Seminar Lotharingien de Combinatoire
  
  Volume: 78B
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] Construction of double Grothendieck polynomials of classical types using Id-Coxeter algebras2017
- Author(s)
  A.N. Kirillov and H. Naruse
- Journal Title
  
  Tokyo Journal of Mathematics
  
  Volume: 39
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] Rigged Configurations and Catalan, Stretched Parabolic Kostka Numbers and Polynomials : Polynomiality, Unimodality and Log-concavity2017
- Author(s)
  A.N. Kirillov
- Journal Title
  
  Advanced Studies in Pure Mathematics
  
  Volume: 印刷中
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] Construction of double Grothendieck polynomials of classical types using Id-Coxeter algebras2017
- Author(s)
  A.N. Kirillov and H. Naruse
- Journal Title
  
  Tokyo J. Math.
  
  Volume: 39-no.3 Pages: 695-728
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] On some quadratic algebras I+I/2 : Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and Reduced polynomials2016
- Author(s)
  A.N. Kirillov
- Journal Title
  
  SIGMA
  
  Volume: 12
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] Notes on Schubert, Grothendieck and Key polynomials2016
- Author(s)
  A.N. Kirillov
- Journal Title
  
  SIGMA
  
  Volume: 12
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05057
[Journal Article] Bethe's Quantum Numbers And Rigged Configurations2016
- Author(s)
  R.Sakamoto and A.N.Kirillov
- Journal Title
  
  Nuclear Physics B
  
  Volume: 905 Pages: 359-372
- DOI
  10.1016/j.nuclphysb.2016.02.020
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Rigged Confugurations, past and present,I2021
- Author(s)
  A.N.Kirillov
- Organizer
  International Workshop P-positivity in Matroid Theory and Related Topics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Rigged Confugurations, past and present,II2021
- Author(s)
  A.N.Kirillov
- Organizer
  International Workshop P-positivity in Matroid Theory and Related Topics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] FK algebras and posutuvuty2021
- Author(s)
  A.N.Kirillov
- Organizer
  International Workshop P-positivity in Matroid Theory and Related Topics
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Log-concavity of graph chromatic polynomials.2019
- Author(s)
  Anatol N. Kirillov
- Organizer
  Matroids and Tutte polynomials.
- Invited
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Generalized RSK correspondence2019
- Author(s)
  Anatol N. Kirillov
- Organizer
  Toric Topology 2019
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] On generalized cohomology theories of nilpotent Hessenberg varieties2018
- Author(s)
  A.N.Kirillov
- Organizer
  Meeting on Hessenberg varieties
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Quadratic algebras and universal Dunkl operators.2017
- Author(s)
  A.N.Kirillov
- Organizer
  Seminar talk at Kavli Institute of Physics and Mathematics Of the Universe (IPMU)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Quadratic algebras, Integral Systems and Combinatorics2017
- Author(s)
  A.N.Kirillov
- Organizer
  Special Lecture at National Research University High Economy School, Moscow, Russia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Cactus group and Gelfund-Tsetlin group2017
- Author(s)
  A.N.Kirillov
- Organizer
  Spring School on Representation Theory
- Place of Presentation
  Tokyo University, Department of Mathematics　（東京都目黒区）
- Year and Date
  2017-03-13
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Dilogarithm Identities2017
- Author(s)
  A.N.Kirillov
- Organizer
  Special Lecture at National Research University High Economy School, Moscow, Russia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Bethe Ansatz and Combinatorics2017
- Author(s)
  A.N.Kirillov
- Organizer
  Colloquium Talk at National Research University High Economy School, Moscow, Russia
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] On braided Hopf lgebras2016
- Author(s)
  A.N.Kirillov
- Organizer
  Hopf algebras and Tensor Categories
- Place of Presentation
  Tsukuba University, Japan（茨城県つくば市）
- Year and Date
  2016-09-11
- Invited
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] On some quadratic algebras2016
- Author(s)
  A.N.Kirillov
- Organizer
  Lecture course "On some quadratic algebras"
- Place of Presentation
  The Stockholm University, Sweden
- Year and Date
  2016-10-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Flat connections for q-KZ equations associated with affine Birman--Murakami--Wenzl algebras2016
- Author(s)
  A.N.Kirillov
- Organizer
  Classical and quantum integrable systems and supersymmetry
- Place of Presentation
  The Chern Mathematical Institute, Tianjin, China
- Year and Date
  2016-09-19
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Robinson-Schensted-Knuth correspondence and Rigged Configurations2016
- Author(s)
  A.N.Kirillov
- Organizer
  Lecture course "Robinson-Schensted-Knuth correspondence and Rigged Configurations"
- Place of Presentation
  The Taiwan National University, Taiwan
- Year and Date
  2016-12-13
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K05057
[Presentation] Bethe subalgebras in affine Birman--Murakami--Wenzl algebras2016
- Author(s)
  A.N.Kirillov
- Organizer
  MS Seminar at Kavli IPMU
- Place of Presentation
  Tokyo University, the Kavli Institute (IPMU)　（千葉県柏市）
- Year and Date
  2016-04-20
- Invited
- Data Source
  KAKENHI-PROJECT-16K05057

Kirillov Anatoli Kirillov Anatoli

Research Projects

Research Products

Combinatorics around Painleve VIPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Rigged Configurations and Unimodality2021

Author(s)

Journal Title

DOI

ISBN

Data Source

[Journal Article] Rigged Configurations and Catalan, Stretched Parabolic Kostka Numbers and Polynomials : Polynomiality, Unimodality and Log-concavity.2018

Author(s)

Journal Title

Data Source

[Journal Article] Rigged configurations and Catalan, stretched parabolic Kostka numbers and polynomials: polynomiality, unimodality and log-concavity.2018

Author(s)

Journal Title

Data Source

[Journal Article] On Q-deformations of Postnikov-Shapiro algebras2018

Author(s)

Journal Title

Data Source

[Journal Article] Construction of double Grothendieck polynomials of classical types using Id-Coxeter algebras2017

Author(s)

Journal Title

Data Source

[Journal Article] Rigged Configurations and Catalan, Stretched Parabolic Kostka Numbers and Polynomials : Polynomiality, Unimodality and Log-concavity2017

Author(s)

Journal Title

Data Source

[Journal Article] Construction of double Grothendieck polynomials of classical types using Id-Coxeter algebras2017

Author(s)

Journal Title

Data Source

[Journal Article] On some quadratic algebras I+I/2 : Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and Reduced polynomials2016

Author(s)

Journal Title

Data Source

[Journal Article] Notes on Schubert, Grothendieck and Key polynomials2016

Author(s)

Journal Title

Data Source

[Journal Article] Bethe's Quantum Numbers And Rigged Configurations2016

Author(s)

Journal Title

DOI

Data Source

[Presentation] Rigged Confugurations, past and present,I2021

Author(s)

Organizer

Data Source

[Presentation] Rigged Confugurations, past and present,II2021

Author(s)

Organizer

Data Source

[Presentation] FK algebras and posutuvuty2021

Author(s)

Organizer

Data Source

[Presentation] Log-concavity of graph chromatic polynomials.2019

Author(s)

Organizer

Data Source

[Presentation] Generalized RSK correspondence2019

Author(s)

Organizer

Data Source

[Presentation] On generalized cohomology theories of nilpotent Hessenberg varieties2018

Author(s)

Organizer

Data Source

[Presentation] Quadratic algebras and universal Dunkl operators.2017

Author(s)

Organizer

Data Source