PIRSA:16040080 Conference Mathematical physics

DOI10.48660/16040080

Conference/School: Deformation Quantization of Shifted Poisson Structures

Grivaux, J. (2016). Towards a general description of derived self-intersections. Perimeter Institute. https://pirsa.org/16040080

Grivaux, Julien. Towards a general description of derived self-intersections. Perimeter Institute, Apr. 20, 2016, https://pirsa.org/16040080 

@misc{ pirsa_PIRSA:16040080,
  doi = {10.48660/16040080},
  url = {https://pirsa.org/16040080},
  author = {Grivaux, Julien},
  keywords = {Mathematical physics},
  language = {en},
  title = {Towards a general description of derived self-intersections},
  publisher = {Perimeter Institute},
  year = {2016},
  month = {apr},
  note = {PIRSA:16040080 see, \url{https://pirsa.org}}
}

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.

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