2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Collection 2023 - T2 - WS1 - GAP XVIII: Homotopy algebras and higher structures

Organizer(s) Cattaneo, Alberto ; Jotz, Madeleine ; Liao, Hsuan-Yi ; Schiavina, Michele ; Stiénon, Mathieu ; Xu, Ping

Date(s) 22/05/2023 - 26/05/2023

linked URL https://indico.math.cnrs.fr/event/7882/

16 16

Algebraic structures attached to a closed embedding

By Julien Grivaux

This talk will be devoted to some geometrical constructions attached to a closed embedding of complex manifolds. A concrete way to measure the complexity of such an embedding is to understand how geometric objects, like vector bundles or coherent sheaves, can extend (at least formally). This deformation problem is controlled at the first order by a cohomology class that can be made explicit. Later on, Arinkin and Caldararu provided a link between these constructions and the theory of derived intersections. In this talk, we will present a second order condition, called moderation, that allows to provide an explicit description of the Ext algebra attached to a closed embedding. This is joint work with Damien Calaque.

Information about the video

Date of publication 24/05/2023
Institution IHP
Language English
Format MP4

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