研究分野
数学、幾何学、トポロジー
着任履歴
2019/04/01 - 2020/03/31 基礎科学特別研究員
2020/05/01 - 客員研究員 (本務: 東京大学 大学院数理科学研究科 助教)
関連ウェブサイト
今野 北斗の個人ウェブサイト

自己紹介

I have been working in the mathematical study of gauge theory. In particular, I have developed Seiberg-Witten theory and Yang-Mills theory for families of 4-dimensional manifolds, and used them to examine the topology and geometry of such families. One of typical objects studied using gauge theory for families is the space consisting of all symmetries of a given 4-dimensional manifold. The space of symmetries is a natural mathematical object, but at the same time, this space is an infinite-dimensional complicated space in general, and consequently quite hard to attack. Interestingly, some of my recent work with several groups revealed that we can extract information about the space of symmetries of some 4-dimensional manifolds using gauge theory for families. I am trying to go ahead with this direction, and also to develop other aspects of gauge theory, relating to a sort of topological quantum field theory.

関連イベント

Seiberg-Witten Floer homotopy

2022年7月15日(金) 14:00 - 16:30 セミナー iTHEMS数学セミナー

Gauge theory and symmetries of 4-dimensional spaces

2019年4月26日(金) 16:00 - 18:10 セミナー iTHEMS数学セミナー

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