Some constructions from graded geometry

Vladimir Salnikov (CNRS / U La Rochelle)

Aug 27. 2021, 14:00 — 15:00

In this talk we introduce some natural constructions from the "graded world": graded Hopf algebras and differential graded Harish-Chandra pairs. We also discuss some properties of functional spaces on graded manifolds. These constructions are then used to solve the integration problem of differential graded Lie algebras to differential graded Lie groups.

This is a joint work with Alexei Kotov, based on [1] and its extensions.

[1] B. Jubin, A. Kotov, N. Poncin, V. Salnikov, Differential graded Lie groups and their differential graded Lie algebras, to appear in Transformation Groups, 2021.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Geometry for Higher Spin Gravity: Conformal Structures, PDEs, and Q-manifolds (Thematic Programme)
Xavier Bekaert (U of Tours)
Andreas Cap (U of Vienna)
Stefan Fredenhagen (U of Vienna)
Maxim Grigoriev (U of Mons)
Alexei Kotov (U Hradec Králové)