Towards a general description of derived self-intersections



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Recording Details

Speaker(s): 
Julien Grivaux
Scientific Areas: 
Mathematical Physics
Collection/Series: 
Deformation Quantization of Shifted Poisson Structures
PIRSA Number: 
16040080

Abstract

Thanks to a result of Arinkin and Cāldāru, the derived self-intersection of a closed smooth subscheme of an ambiant scheme (over a field of characteristic zero) is a formal object if and only if the conormal bundle of the subscheme extends to a locally free sheaf at the first order. In this talk, we will explain a program as well as new results in order to describe these derived self-intersections in the non-formal case.