L² method and group action

Xiangyu ZHOU
CAS, China

Abstract

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In this talk, we'll discuss a group action version of Cartan's lemma. Here Cartan's lemma means that holomorphic functions on a closed complex subvarity of a Stein manifold can be extended to the whole manifold. Considering the group action version of Cartan's lemma is partially motivated by the extended future tube conjecture.