マス・フォア・インダストリ研究所

セミナー



リスト 全て(掲示受付分)(1961) 今日・明日のセミナー(2)

Homotopy commutativity in Hermitian symmetric spaces


開催時期 2022-07-01 16:00~2022-07-01 17:00

場所 ウエスト1号館 D-414 IMIカンファレンスルーム

受講対象  

講師 Tong Yichen (京都大学)

Abstract: A fundamental problem on H-spaces is to find whether or not a given H-space is homotopy commutative. It is proved that the loop spaces of some homogeneous spaces are homotopy nilpotent, but we do not even know they are homotopy commutative or not. In this talk we investigate the homotopy commtativity of loop spaces of irreducible Hermitian spaces case-by-case. The method also applies to compute the homotopy nilpotency of flag manifolds.