Talk by Ivan Penkov

Ugo Bruzzo bruzzo at sissa.it
Thu Nov 2 18:18:05 CET 2023


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SISSA GEOMETRY SEMINARS

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Professor Ivan Penkov (Bremen) will give a talk entitled



TOWARDS FLAG IND-SUPERMANIFOLDS



on Tuesday November 7th, at 2:30 pm, in Dubrovin Room 136 (Main building).



 Abstract. By now, there is a fairly complete theory of the "flag varieties" of the classical  complex ind-groups GL(infty), O(infty), Sp(infty). These "flag varieties" are ind-varieties, and their points are certain infinite chains of subspaces which we refer to as generalized flags. In the course of this study some new facts about embeddings of flag varieties, in particular about embeddings of grassmannians have been established. The purpose of this talk is to outline a future theory of ind-supervarieties of generalized flags, starting with a conjecture about certain embeddings of supergrassmannians.



U. Bruzzo





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