Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds

We give a systematic derivation of the local expressions of the NS H-flux, geometric F- as well as non-geometric Q- and R-fluxes in terms of bivector beta- and two-form B-potentials including vielbeins. They are obtained using a supergeometric method on QP-manifolds by twist of the standard Courant algebroid on the generalized tangent space without flux. Bianchi identities of the fluxes are easily deduced. We extend the discussion to the case of the double space and present a formulation of T-duality in terms of canonical transformations between graded symplectic manifolds. Finally, the construction is compared to the formerly introduced Poisson Courant algebroid, a Courant algebroid on a Poisson manifold, as a model for R-flux.Comment: 44 page

National Survey on the Implementation Realities of Art Education at Hearing Special Needs Schools in Japans

This research aimed to survey the actual condition and characteristics of the implementation of art classes in hearing special needs schools in Japan and to present future perspectives and issues. A questionnaire was sent to the chief teachers of art in each division of 80 schools, excluding branch schools; 70 responses were received, 68 of which were complete and analyzed. The results of the analysis showed that the difficulty of teaching tended to be generally lower among teachers of hearing special needs schools compared to the results for all types of special needs schools. However, acquiring specialized knowledge about disabilities and developing curricula for playing art activities were more difficult for teachers of hearing special needs schools. Moreover, many of the respondents were positive about the establishment of art and design courses in the higher division and in majors after graduating from the higher division. It is recommended that, in the future, a survey of hearing special needs school graduates and the positioning and utilization of art and design with an inclusive society in mind be conducted.This work was supported by JSPS KAKENHI Grant Number JP22H01008

Closed kk-Schur Katalan functions as KK-homology Schubert representatives of the affine Grassmannian

Recently, Blasiak-Morse-Seelinger introduced symmetric functions called Katalan functions, and proved that the $K$-theoretic $k$-Schur functions due to Lam-Schilling-Shimozono form a subfamily of the Katalan functions. They conjectured that another subfamily of Katalan functions called the closed $k$-Schur Katalan functions are identified with the Schubert structure sheaves in the $K$-homology of the affine Grassmannian. The main result is a proof of the conjecture. We also study a $K$-theoretic Peterson isomorphism that Ikeda, Iwao, and Maeno constructed, in a non-geometric manner, based on the unipotent solution of the relativistic Toda lattice of Ruijsenaars. We prove that the map sends a Schubert class of the quantum $K$-theory ring of the flag variety to a closed $K$-$k$-Schur Katalan function up to an explicit factor related to a translation element with respect to an anti-dominant coroot. In fact, we prove the above map coincides with a map whose existence was conjectured by Lam, Li, Mihalcea, Shimozono, and proved by Kato, and more recently by Chow and Leung.Comment: 32 pages, 2 figure

Developing a Quality of Life Evaluation Method Based on Engagement and Performance for Children with Profound Intellectual and Multiple Disabilities in a Formative Activities Class

本研究は，重度・重複障害児を対象とした造形活動におけるQOL評価法の開発を目的とした。本研究では造形活動におけるQOLを，“周囲の人たちとの関わりを基盤とし，造形活動特有の教材教具の使用や制作工程を通して，重度・重複障害児が意欲的に活動できると共に，自らが有する能力を最大限発揮できる状態”と定義し，意欲と能力発揮とを構成要素とするルーブリックを作成した。その後，授業場面を撮影したビデオ映像を用いて11段階の手順で評価を行い，単位時間あたりのQOLの状態を量的に示した。評価方法の妥当性の検証では，特別支援学校小学部の重複障害学級で３期のアクション・リサーチを実施し，児童４名のQOL評価結果について担任教員と筆者による評価結果の一致率の算出，及び「重みづけκ係数」による一致状況の検証を行った。その結果，本研究で開発したQOL評価法には一定の妥当性が認められた。The aim of this study is to develop a quality of life (QOL) evaluation method based on engagement and performance for children with profound intellectual and multiple disabilities in a formative activities class. QOL in relation to formative activities in this study is defined as children with profound intellectual and multiple disabilities being able to perform activities in a highly motivated manner, and maximize their abilities through involvement with the people around them, by using the educational materials and instructional tools unique to formative activities. A rubric was created with constructional elements that included their engagement and performance. For enhancing reliability and validity, QOL was assessed based on 11 procedures video-recorded during the formative activities in an art class, and digitizing the children’s QOL conditions per class. For verifying the QOL evaluation method, the author conducted the Action Research thrice at a multiple disabilities class in the elementary division of a special needs school. Then, the homeroom teacher and the author evaluated four children’s QOL conditions and measured their agreement. The concordance correlation coefficient was calculated by “weighted κ for multiple categories.” Hence, the QOL evaluation method is effective in measuring the children’s actual QOL conditions.本研究は，JSPS科研費15K04440の助成を受けた

A Literature Review and Agenda regarding Communication for Children with Profound Intellectual and Multiple Disabilities

This study reviewed the literature on communication for children with profound intellectual and multiple disabilities in order to clarify the research trends and problems. The author reviewed doctoral thesis in the field of education and academic papers on practical theory and case studies. The findings were as follows: Half of the doctoral thesis used organized psychophysiological research methods. In the academic papers on practical theory, a number of researchers and teachers drew on the theories of the primordial communication, the INREAL approach, and the co-creative communication approach. The case studies included hypothesis verification studies and qualitative studies. Through the literature review, the author clarified four issues in psychophysiological research methods and two issues in case study research.本研究は，平成27年度～29年度科学研究費補助金基盤研究(C)，課題番号(15K04440)の助成を受けたものである

Japan\u27s Failed Modernization and the Crises of Ideology : From Seclusionism to Emperorism to Corporocentrism to What?

Historical Consciousness, Historiography, and Modern Japanese Values, 2002年10月末-11月, カナダ, アルバータ州バン