Equivariant formality of isotropy action on a homogeneous space with rank difference one
报告题目(Title):Equivariant formality of isotropy action on a homogeneous space with rank difference one
报告人(Speaker):贺琛 (华北电力大学)
地点(Place):后主楼1223
时间(Time):2021年10月14日10:00-11:00
邀请人(Inviter):赵旭安
报告摘要
Let H be a closed connected subgroup of a compact connected Lie group G. If rank(G) = rank(H), it is well known that the rational cohomology of G/H concentrates in even degrees hence the isotropy action of H on G/H is equivariantly formal. In this talk, we will consider the case where rank(G) - rank(H) = 1 and give a characterization of equivariantly formal isotropy action in this case.