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Koji Yokogawa
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Research Keywords 【 display / non-display 】
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Algebraic Geometry, Noncommutative Hodge Theory, Moduli
Research Pursuits 【 display / non-display 】
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Noncommutative Hodge theory is an extension of the Hodge theory for cohomorogy theory with non-abelian groups as its coefficients. Its first cohomorogy are moduli stacks of Higgs bundles. It is very important to study Hodge structures on them. Thohgh it was difficult to define higher cohomology, higher category theory enables the definition. My research purpose is to develop non-commutative Hodge theory in this framework. Moreover, higher category theory enables us for introduction of higher stacks which extends the notion of sheaves. This means a possibility of homotopical mathematics that enlarges mathematics build up on the set theory. Homotopical mathematics seems well for getting and representing any information that we have been neglecting
via higher categorical structures.
Educational Pursuits 【 display / non-display 】
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My lectures concerns mainly on algebra. In the seminar for 4th grader students, it has been used textbooks concerning on number theory, commutative algebra, algebraic geometry and cryptgraphical theory. For students in master course, my lectures are usually concerns on number theory, algerraic geometry, complex geometry and homotopy theory.
Campus Career 【 display / non-display 】
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Graduate School of Humanities and Sciences, Research Organization, the Core Section The Natural/Applied Sciences Division, Professor, 2012.04 - 2015.03
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Faculty of Core Research Natural Sciences Division, Professor, 2015.04 -
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Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences, 2012.04 - 2015.03
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Graduate School of Humanities and Sciences, Education Organization, Doctral Program Advanced Sciences, 2015.04 -
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Graduate School of Humanities and Sciences, Education Organization, Master's Program Advanced Sciences, 2012.04 - 2015.03
Class management data 【 display / non-display 】
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2024
Books 【 display / non-display 】
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Lecture Notes in Pure and Applied Mathematics, 179 Moduli of vector bundles
Moduli of parabolic Higgs sheaves, Dekker, 1996, 横川光司, 丸山正樹, Report, 287-296
Papers 【 display / non-display 】
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Pre-Tango structures on curves
Tohoku Journal of Mathematics, , 2002, 横川光司 武田好史, Original, Research paper (scientific journal), Capital Author
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Rationality of Moduli of parabolic sheaves on curves
Journal of London Mathemaical Society, , 1999, 横川光司 Hans U. Boden, Original, Research paper (scientific journal), Capital Author
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Moduli spaces of parabolic Higgs bundles and parabolic K(D) pairs over a smooth curves: I
International Journal of Mathematics, , 1996, 横川光司 Hans U. Boden, Original, Research paper (scientific journal), Capital Author
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Infinitesimal deformations of parabolic Higgs sheaves
International Journal of Mathematics, , 1995, 横川光司, Original, Research paper (scientific journal), Single Author
Presentations 【 display / non-display 】
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Simpson の非可換コホモロジー理論入門
横川光司, Domestic, 2001.02, , 代数幾何及び可換環論の小研究集会, 琉球大学, 森脇淳（京都大学）, Invited, Main Speaker
Receipt of outside funds (Education, Research, Contribution to Society and industry-academia[government] collaboration) 【 display / non-display 】
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Grant-in-Aid for Scientific Research(C)2007, 1,100,000Thousand yen
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Grant-in-Aid for Scientific Research(C)2006, 900,000Thousand yen
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Grant-in-Aid for Scientific Research(C)2005, 1,200,000Thousand yen
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萌芽研究2004, 1,000,000Thousand yen
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萌芽研究2003, 1,300,000Thousand yen
Open lectures; lectures, courses, and seminars; guest lectures; etc. 【 display / non-display 】
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科学への誘いセミナー
2012.12
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科学への誘いセミナー
2011.12
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スーパーサイエンスハイスクール出張講義「解の公式に見る対称性」
2006.10, 埼玉県立川越女子高等学校
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教員養成GP
2006.07
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スーパーサイエンスハイスクール「エキサイティング・サイエンスⅠ」
2005.07, 群馬県立高崎女子高等学校