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Homotopy commutativity in Hermitian symmetric spaces

Hold Date 2022-07-01 16:00~2022-07-01 17:00

Place IMI Conference Room (D414)

Object person  

Speaker Tong Yichen (Kyoto University)

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.