Applications and Applied Perspectives of Hyperplane Arrangements

整理番号	2026a005
種別	女性研究者活躍支援研究-研究集会（Ⅰ）
研究計画題目	Applications and Applied Perspectives of Hyperplane Arrangements
研究代表者	Junyan Chu（Kyoto University, School of Science, SACRA・Postdoctoral fellow）
研究分野のキーワード	Hyperplane arrangement, Support vector machine, Algebraic coding, Decision theory
目的と期待される成果	While the theoretical foundations of hyperplane arrangements are deeply rooted in algebraic combinatorics and topology, their structural properties have recently emerged as powerful tools for solving practical problems across diverse fields. This workshop aims to highlight and further develop recent applications of hyperplane arrangements in mathematics, data science, and information security. Invited speakers will discuss applications in pattern recognition, probabilistic models, decision theory, and algebraic coding. By converging these complementary viewpoints, we seek to identify common geometric and combinatorial structures underlying these applications and formulate new problems where arrangement techniques can be effectively deployed. Expected outcomes include a clearer cross-disciplinary understanding of how hyperplane arrangements appear in practice, the initiation of concrete collaborative projects, and the training of early-career researchers through direct interaction with leading experts from Japan and abroad.
組織委員(研究集会) 参加者(短期共同利用)	CHU Junyan（Kyoto University・Postdoc） 阿部 拓郎（立教大学・教授） 鍛冶　静雄（京都大学・教授） 安田 雅哉（立教大学・教授） 中島 規博（名古屋工業大学・准教授） 沼田 泰英（北海道大学・教授）