• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to project page

2021 Fiscal Year Final Research Report

Combinatorics around Painleve VI

Research Project

  • PDF
Project/Area Number 16K05057
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Algebra
Research InstitutionKyoto University

Principal Investigator

Kirillov Anatoli  京都大学, 数理解析研究所, 研究員 (20314057)

Project Period (FY) 2016-04-01 – 2022-03-31
KeywordsPainleve / Poschl-Teller models / Umemura polynomials / Combinatorics
Outline of Final Research Achievements

Proof of old standing Conjecture that the all coefficients of the two parameter Umemura polynomials are integer numbers and gave their explicit formulas (partly joint with M.Taneda and P. van Diejen). Some quantum and elliptic generalizations are suggested.

Free Research Field

Integrabl Systems, Combinatorics

Academic Significance and Societal Importance of the Research Achievements

Our results explained and proved Conjecture that coefficients of Umemura polynomials are integers , and pointed out on surprising connections of Painleve and Poschl-Teller models and Combinatorics and Representation Theory.

URL: 

Published: 2023-01-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi