Derived Symplectic Reduction and Equivariant Geometry

Albin Grataloup

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Derived Symplectic Reduction and Equivariant Geometry

Dissertation

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Derived Symplectic Reduction and Equivariant Geometry

Albin Grataloup

Doctoral, École doctorale Information, Structures, Systèmes (Montpellier ; 2015-....)

16/12/2022

Abstract

Symplectic Geometry

Equivariant Geometry

Lie algebroids

Derived Geometry

Algébroide de Lie

Géométrie equivariant

Géometrie symplectique

Géometrie dérivée

This thesis aims to generalize the procedure of symplectic reduction to the setting of derived geometry, for infinitesimal actions (actions by Lie algebroids) and for actions by Segal groupoids.One of the goals is to relate this geometric construction to the BV formalism.

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Title: Derived Symplectic Reduction and Equivariant Geometry
Creators - without role: Albin Grataloup - 33UDM_INST___HR10M00306
Contributors - without role: Damien Calaque
Giovanni Felder [Rapporteur]
Domenico Fiorenza [Rapporteur]
Grégory Ginot
Benjamin Hennion
Pavel Safronov
Alexander Schenkel
Chenchang Zhu
Awarding Institution: École doctorale Information, Structures, Systèmes (Montpellier ; 2015-....); Doctoral
Theses and Dissertations: Doctoral, École doctorale Information, Structures, Systèmes (Montpellier ; 2015-....)
Identifiers: 9981266509311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Dissertation
Local Fields: tel-04067733