• Title/Summary/Keyword: Steinberg variety

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SHEAF-THEORETIC APPROACH TO THE CONVOLUTION ALGEBRAS ON QUIVER VARIETIES

  • Kwon, Namhee
    • Honam Mathematical Journal
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    • v.35 no.1
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    • pp.1-15
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    • 2013
  • In this paper, we study a sheaf-theoretic analysis of the convolution algebra on quiver varieties. As by-products, we reinterpret the results of H. Nakajima. We also produce a refined form of the BBD decomposition theorem for quiver varieties. Finally, we study a construction of highest weight modules through constructible functions.

A study on the Interpretation of Modernity & Contemporary in University Educational Projects of Fumihiko Maki - Focus on Steinberg Hall and Kemper Art Museum in Washington University in St. Louis - (후미히코 마키(Fumihiko Maki)의 대학교육시설에서 근대성과 현대성의 해석에 관한 연구 - 세인트 루이스 워싱턴 대학의 스타인버그 홀과 켐퍼 아트 뮤지움을 중심으로 -)

  • Lim, Jong-Yup
    • Journal of the Korean Institute of Educational Facilities
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    • v.21 no.4
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    • pp.31-40
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    • 2014
  • The modern day architectural giant, Maki Fumihiko, has lived through both the early and the more recent modernism, Contemporary. In the 1950's he was faithful to the spirit that was founded on the early modernity, Metabolism. In his later years in the 2000's, his style can be distinguished into Neo-Modernism which was based on local influence. The educational system at Washington University and the modern city of Saint Louis carries the continuation of Fumihiko Maki's early and later architectural career. Steinberg Hall and Kemper Art Museum have been built adjacent to each other in an extended period of time. These two projects encompass the changes in the era that has gone through modernism, transformation of an architect's career, and the maturation of the university. Steinberg Hall carries the ideal and the spirit of young Fumihiko Maki, therefore, the basic platform of experimentation of the early Metabolist has been applied. Spatial theory that concentrates on the integration of relations is also evident in this project. In contrast, Kemper Art Museum expresses the work of a 78 year-old veteran from the perspective of Neo-Modernism. This piece focuses on the internal space through the coexistence of a variety of space, and with that it notably interprets the integration of the pieces to the whole as a set theory. The partial change that we see is the evidence of the change in the early and the later modernism, while maintaining the innocence and the spirit of it. This is to highlight the fact that, ultimately, the goal of architecture is to secure the human race's honesty and their freedom expressed through space.