Applications and Applied Perspectives of Hyperplane Arrangements

Reference No.	2026a005
Type/Category	Grant for Supporting the Advancement of Female Researchers-Workshop (I)
Title of Research Project	Applications and Applied Perspectives of Hyperplane Arrangements
Principal Investigator	Junyan Chu（Kyoto University, School of Science, SACRA・Postdoctoral fellow）
Research Period
Keyword(s) of Research Fields	Hyperplane arrangement, Support vector machine, Algebraic coding, Decision theory
Objectives and Expected Results	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.
Organizing Committee Members (Workshop) Participants (Short-term Joint Usage)	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）