The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


Geometry Seminar of ICMS

28.02.2024, 16:00, Sofia time

ICMS-Sofia, Room 403
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Linear embeddings of complex Grassmannians

 Ivan Penkov

Constructor University Bremen

Abstract: A linear embedding of Grassmannians, one of which could possibly be isotropic, is an embedding which respects the generators of Picard groups. Several years ago A.S. Tikhomirov and I classified such embeddings when both Grassmannians are simultaneously usual Grassmannians or isotropic Grassmannians of the same type(orthogonal or symplectic). In this talk I will discuss also the mixed case. A classification as above has an application to the classification of infinite-dimensional linear ind-Grassmannians, and I shall  briefly explain this at the end of the talk.