Presentations
2024
On the projectively covariant differential operators on real projective spaces, a presentation at Nara Geometry and Represenation Theory Seminar at Nara Women's University, May 9, 2024, Japan (promised)
The classification and construction of projectively covariant differential operators on RP^2, a presentation at MSJ Spring Meeting 2024, Osaka Metropolitan University, March 17-20, 2024, Japan
On the intertwining differential operators for vector bundles over the real projective space of dimension 2, a presentation at a workshop, Langlands and Harmonic Analysis, Hokkaido University, Sapporo, March 11-15, 2023, Japan
2023
On the classification and construction of projectively covariant differential operators on RP^2, a presentation at 7th Tunisian-Japanese Conference TJC 7, November 1-4, 2023, Tunisia
On the projectively covariant differential operators on RP^2-Part II, a presentation at Lie Groups Seminar at Oklahoma State University, October 25, 2023, USA (online)
On the projectively covariant differential operators on RP^2-Part I, a presentation at Lie Groups Seminar at Oklahoma State University, October 18, 2023, USA (online)
On the equivariant differential operators for SL(3,R) with maximal parabolic subgroup, a presentation at Oka Mathematical Institute Seminar, Nara Women's University, September 25, 2023, Japan
The classification of the K-type formulas for the Heisenberg ultrahyperbolic equation of sl(3,R), a presentation at AGU RT Seminar: Workshop on Harmonic Analysis on Lie groups and Representations of Hecke Algebras, Aoyama Gakuin University, March 20, 2023, Japan
On the standardness of homomorphisms between generalized Verma modules for sl(3,C), a presentation at MSJ Spring Meeting 2023, Chuo University, March 15-18, 2023, Japan
On the K-type decompositions of the solution spaces of intertwining differential operators, a presentation at a workshop, Langlands and Harmonic Analysis, Kanazawa University, Ishikawa, March 6-10, 2023, Japan
2022
On the classification and construction of intertwining differential operators by the F-method, a presentation at Symposium on Representation Theory 2022, Online, December 1-4, 2022, Japan
On the classification and construction of differential symmetry breaking operators, a presentation at Workshop ``Correspondences of various geometries'', Nara Women's University, October 2, 2022, Japan
Conformal differential symmetry breaking operators for (O(n+1,1), O(n,1)) for differential forms, a presentation at Ritsumeikan Geometry Seminar, Ritsumeikan University, June 3, 2022, Japan
On the classification and construction of conformal differential symmetry breaking operators, intensive lectures, The University of Tokyo (Online), April 18-22, 2022, Japan
On the classification and construction of conformal symmetry breaking operators for anti-de Sitter spaces, a presentation at Tuesday Seminar on Topology/Lie Groups and Representation Theory Seminar, The University of Tokyo (Online), April 19, 2022, Japan
On the classification of the K-type formulas for the Heisenberg ultrahyperbolic equation, a presentation at Representation Theory Workshop 2021, Online, January 9-10, 2022, Japan
2021
On the classification of the K-type formulas for the Heisenberg ultrahyperbolic equation, a presentation at Lie Group and Representation Theory Seminar, The University of Tokyo (Online), December 7, 2021, Japan
Differential symmetry breaking operators for (O(n+1,1), O(n,1)) for differential forms, a presentation at Representation Theory and Noncommutative Geometry, AIM Research Community, June 10-11, 2021, Online
Palindromic property of Cayley continuants {Cay_k(x;n)}, a presentation at MSJ Spring Meeting 2021, Keio University (Online), March 15-18, 2021, Japan
Classification of the K-type formulas for a certain second order differential equation, a presentation at a workshop, Langlands and Harmonic Analysis (Online), March 12, 2021, Japan
Palindromic property and local Heun functions, a presentation at an online seminar (online), February 4, 2021, Japan
Palindromic property of a sequence of polynomials, a presentation at Representation Theory Workshop 2020, Online, January 10-11, 2021, Japan
2020
The K-type formulas for Kable's differential operators of type A_3 and Heun polynomials, a presentation at MSJ Spring Meeting 2020, Nihon University, March 16-19, 2020, Japan (Canceled due to the COVID19 outbreak)
A Peter-Weyl type decomposition theorem for intertwining differential operators and its application, a presentation at a seminar, Aarhus university, February 27, 2020, Denmark
On the zeros of the Sylvester determinant and Jacobi weight function, a presentation at Representation Theory Workshop 2020, January 11, 2020, Tottori, Japan
2019
Sylvester-type determinant formulas and Heun polynomials, a presentation at a seminar, Kyushu University, November 1, 2019, Fukuoka, Japan
Factorization formulas for certain tridiagonal determinants, a presentation at a seminar, Ryukoku University, August 7, 2019, Kyoto, Japan
Kable's Heisenberg ultrahyperbolic operator and hypergeometric polynomials, a presentation at Second International Conference on Applications of Mathematics to Nonlinear Sciences (AMNS-2019), June 27-30, 2019, Pokhara, Nepal
On the Peter-Weyl type decomposition theorem for the space of K-finite solutions to intertwining differential operators, a presentation at MSJ Spring Meeting 2019, Tokyo Institute of Technology, March 17-20, 2019, Japan
2018
F-method and differential symmetry breaking operators of O(n,1) for differential forms on spheres, a presentation at Hiroshima Geometry Workshop, Hiroshima University, October 5, 2018, Japan
Heisenberg ultrahyperbolic operator and Gauss hypergeometric series 2F1, a presentation at Analysis Seminar, Aarhus University, September 13, 2018, Denmark
On the space of K-finite solutions to intertwining differential operators, a presentation at a seminar, University of Zagreb, September 5, 2018, Croatia
On the construction of representations of SL(3,R) and hypergeometric function 1F0, a presentation for AGU Representation Theory New Year Seminar, Aoyama Gakuin University, January 19, 2018, Japan
F-method and conformal differential symmetry breaking operators for differential forms on spheres, a presentation for Nara Geometry and Representation Theory Seminar, Nara Women's University, January 16, 2018, Japan
2017
Conformal differential symmetry breaking operators for differential forms on spheres, a presentation for Symposium on Representation Theory 2017, December 1, 2017, Japan
Differential symmetry breaking operators of O(n,1) for differential forms, a presentation for Osaka Representation Theory Seminar, Osaka, November 20, 2017, Japan
Differential symmetry breaking operators of O(n,1) for differential forms, a presentation for the special session in Functional Analysis at MSJ Autumn Meeting 2017, Yamagata University, September 12, 2017, Japan
F-method for constructing symmetry breaking operators III. F-method, a presentation at Automorphic Differential Operators on Siegel Modular Forms, Nagano, September 5, 2017, Japan
Small representations and hypergeometric equations, a presentation at a seminar, Aarhus University, August 10, 2017, Denmark
Algorithm on determining the reducibility points for generalized Verma modules of scalar type, a presentation at RIMS Workshop: Representation Theory and Related Areas, RIMS, June 22, 2017, Japan
Verma modules and intertwining differential operators, a presentation at a workshop, Langlands and Harmonic Analysis, Atami, Shizuoka, February 6, 2017, Japan
2016
On a construction of unipotent representations of the universal covering group of SL(3,R), a presentation at Aoyama Representation Theory Seminar, Aoyama Gakuin University, December 16, 2016, Japan
The classification and explicit construction of symmetry breaking operators for differential forms on spheres, a presentation at MSJ Autumn Meeting 2016, Kansai University, September 15-18, 2016, Japan
Homomorphisms between generalized Verma modules and small representations, a presentation at Workshop on Lie groups and representation theory, Aarhus University, August 24, 2016, Denmark
The Rankin--Cohen bracket and symmetry breaking operators, a presentation at Number theory-Automorphic forms Seminar, Osaka University, July 15, 2016, Japan
F-method for Symmetry Breaking Operators, 2, a presentation at International conference, Geometry, Representation Theory, and Differential Equations, Kyushu University, February 19, 2016, Japan
2015
Covariant differential operators and the Rankin--Cohen bracket, a presentation at Colloquium, Kanazawa University, December 2, 2015, Japan
Covariant differential operators and the Rankin--Cohen bracket, a presentation at Analysis Seminar, Aarhus University, November 5, 2015, Denmark.
Covariant differential operators and the Rankin--Cohen bracket, a presentation at Lie Group Seminar, Oklahoma State University, October 7, 2015, USA.
On the reducible points for scalar generalized Verma modules, a presentation at MSJ Autumn Meeting 2015, Kyoto Sangyo University, September 13-16, 2015, Japan
On the reducible points for scalar generalized Verma modules, a presentation at Analytic Representation Theory of Lie Groups, Kavli IPMU, July 4, 2015, Japan
On the reducible points for scalar generalized Verma modules, a presentation at XI. International Workshop LIE THEORY AND ITS APPLICATIONS IN PHYSICS, June 15-21, 2015, Bulgaria
On the reducible points for scalar generalized Verma modules, a presentation at AGU Workshop on Geometry and Representation Theory, Aoyama Gakuin University, May 9, 2015, Japan
Covariant differential operators and the Rankin--Cohen bracket, a presentation at MSJ Spring Meeting 2015, Meiji University, March 23, 2015, Japan
Covariant differential operators and the Rankin--Cohen bracket, a presentation at 2015 East Asian Core Doctoral Forum on Mathematics, National Taiwan University, January 19-22, 2015, Taiwan
2014
Covariant differential operators and the Rankin--Cohen bracket, a presentation at the Symposium on Representation Theory 2014, November 26, 2014, Japan
On the F-method for constructing intertwining differential operators between homogeneous vector bundles, a presentation at the Joint Symposium on Real Analysis and Functional Analysis, September 3--5, 2014, Japan
Systems of differential operators and generalized Verma modules, a presentation at Algebraic Methods in Quantum Field Theory, a mini-symposium in the International Conference "Mathematics Days in Sofia," the Institute of Mathematics and Informatics, July 7-10, 2014, Bulgaria
The Dynkin index and parabolic subalgebras of Heisenberg type, a presentation at RIMS Conference 2014, June 24-27, 2014, Japan
The Dynkin index and parabolic subalgebras of Heisenberg type, a presentation at MSJ Spring Meeting 2014, Gakushuin University, March 16, 2014, Japan
The Dynkin index and parabolic subalgebras of Heisenberg type, a presentation at Winter school on representation theory of real reductive groups 2014, The University of Tokyo, February 15-18, 2014, Japan
The Dynkin index and parabolic subalgebras of Heisenberg type, a presentation at Conference in celebration of 60th birthday of Prof. Matsuki, Tottori, February 8-9, 2014, Japan
2013
Homomorphisms between generalized Verma modules, a presentation at FMSP Tambara Student Session, Tambara Institute of Mathematical Sciences, The University of Tokyo, September 2-6, 2013, Japan
On $\mathfrak{g}$-manifolds, $\mathfrak{g}$-bundles, and conformally invariant systems, a presentation at Aoyama Gakuin University, August 16, 2013, Japan
Construction of explicit homomorphisms between generalized Verma modules, a presentation at Harmonic Analysis Seminar, Louisiana State University, July, 2013, USA
On constructing explicit homomorphisms between generalized Verma modules, a presentation at RIMS Conference 2013, June 25-28, 2013, Japan
Constructions of explicit homomorphisms between generalized Verma modules, a presentation at Group Actions with applications in Geometry and Analysis, in honour of Toshiyuki Kobayashi 50th birthday, Université de Reims Champagne-Ardenne, June 3-6, 2013, France
On the homomorphisms between generalized Verma modules arising from conformally invariant systems, a presentation at Representations of Lie Groups and Supergroups, Oberwolfach, March 10-16, 2013, Germany
On conformally invariant systems of third order differential operators of Heisenberg type, a presentation at the Representation Theory Seminar, Kyushu University, January 29, 2013, Japan
2012
On conformally invariant systems of third order differential operators of Heisenberg type, a presentation at the Representation Theory Seminar, Hokkaido University, December 21, 2012, Japan
On the homomorphisms between generalized Verma modules arising from conformally invariant systems, a presentation at the Symposium on Representation Theory 2012, December 7, 2012, Japan
Conformally invariant systems of second order differential operators, a presentation at MSJ Autumn Meeting 2012, Kyushu University, September 19, 2012, Japan
The Dynkin index and conformally invariant systems of Heisenberg parabolic type, a presentation at Lie group and Representation theory Seminar, the University of Tokyo, July 24, 2012, Japan
Conformally invariant systems of differential operators of non-Heisenberg parabolic type, a presentation at Lie group and Representation theory Seminar, the University of Tokyo, June 12, 2012, Japan
Conformally invariant systems of differential operators of non-Heisenberg parabolic type, a presentation at Harmonic Analysis Seminar, Louisiana State University, February 22, 2012, USA
On the homomorphisms between certain generailzed Verma modules arising from conformally invariant systems, a presentation at Lie Group Seminar, Oklahoma State University, February 8, 2012, USA
Systems of second-order invariant differential operators of non-Heisenberg parabolic type, a poster presentation at the workshop, Geometric Analysis on Euclidean and Homogeneous Spaces, Tufts University, January 8-9, 2012, USA
2011
Systems of third-order invariant differential operators of Heisenberg parabolic type , a presentation at the 36th University of Arkansas Spring Lecture Series (Conformal Differential Geometry and its Interaction with Representation Theory), University of Arkansas, April 9, 2011, USA
Conformally invariant systems , a presentation for the graduate student seminar at Oklahoma State University, February 15, 2011, USA
Conformally invariant systems of maximal parabolic of two-step nilpotent type , a presentation at the AMS Special Session on Analytic and Geometric Methods in Representation Theory in 2011 Joint Mathematics Meetings, New Orleans, Louisiana, January 6, 2011, USA
2010
On the reducibility of scalar generalized Verma modules of maximal parabolic type , a presentation for the graduate student Lie group seminar at Oklahoma State University, April 28, 2010, USA
An example of a conformally invariant system of differential operators for $\mathfrak{so}(7,\mathbb{C})$ , a presentation at the 72nd Annual Meeting of the MAA OKLAHOMA-ARKANSAS SECTION, John Brown University, Arkansas, March 26, 2010, USA