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SUMMARY:Elizaveta Vishnyakova (UFMG)
DTSTART:20210512T183000Z
DTEND:20210512T200000Z
DTSTAMP:20260423T021707Z
UID:BRAG/44
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/44/">Do
 nagi-Witten construction and a graded covering of a supermanifold</a>\nby 
 Elizaveta Vishnyakova (UFMG) as part of Brazilian algebraic geometry semin
 ar\n\n\nAbstract\nIn the paper "Super Atiyah classes and obstructions to s
 plitting of\nsupermoduli space"\, Donagi and Witten suggested a constructi
 on of a\nfirst obstruction class for splitting of a  supermanifold via\ndi
 fferential operators. We generalize this idea. As a result we\nobtain  a f
 amily of embeddings of the category of supermanifolds into\nthe category o
 f  iterated vector bundles and into the category of\ngraded manifolds. It 
 was shown that the images of a supermanifold in\nthese categories satisfy 
 universal properties of a graded covering or\na graded semicovering. In ou
 r talk we will discuss these functors in the case of a Lie supergroup and 
 a Lie superalgebra. (Joint work with  M. Rotkiewicz).\n
LOCATION:https://researchseminars.org/talk/BRAG/44/
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