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The van Est homomorphism for strict Lie 2-groups and algebras

發(fā)布時(shí)間:2024-04-04 點(diǎn)擊次數(shù):

標(biāo)題:The van Est homomorphism for strict Lie 2-groups and algebras

報(bào)告時(shí)間:2024年04月05日(星期五)16:15-16:55

報(bào)告地點(diǎn):人民大街校區(qū)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院104教室

主講人:Camilo Angulo

主辦單位:數(shù)學(xué)與統(tǒng)計(jì)學(xué)院

報(bào)告內(nèi)容簡(jiǎn)介:

  We construct a van Est map from the Bott-Shulman double complex of a strict Lie 2-group to the Weil algebra of its associated strict Lie 2-algebra and prove that under appropriate connectedness assumptions, this map induces isomorphisms in cohomology. If time permits, as an application, we differentiate the Segal 2-form on the loop group.

主講人簡(jiǎn)介:

  Camilo Angulo is currently a postdoc at Jilin university and obtained his Ph.D. in Universidade de S?o Paulo. His research interests and work is Poisson geometry and higher structures.