PIRSA:16040080

Towards a general description of derived self-intersections

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}}
          }

Julien Grivaux Aix-Marseille University

DOI 10.48660/16040080
Collection
Talk Type Conference
Subject

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.