# Towards a general description of derived self-intersections

### APA

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

### MLA

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

### BibTex

@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}} }

Aix-Marseille University

Talk Type

**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.