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Sino-Russian Mathematics Center-JLU Colloquium(2023-027)—Graded geometry and applications in physics

发表于: 2023-11-22   点击: 

报告题目:Graded geometry and applications in physics

报 告 人:Vladimir Salnikov

所在单位:CNRS/La Rochelle University

报告时间:2023年11月30日-12日1日

报告地点:313 Zhengxin Building



报告摘要: In this minicourse I will give an overview of results on various instances of graded geometry, that we have obtained with several colleagues in the last years. I will start with a comparison of definitions of N- and Z- graded manifolds and introduce a way of constructing a filtration of the sheaf of function on the latter one. Then I will turn to differential graded manifolds (also called Q-manifolds) and present a normal for result for a homological vector field on Z-graded manifold. Related constructions have been applied in theoretical physics, namely for studying symmetries and gauging of sigma models - I will comment on that. And in the end I will present one of my motivations to going through the labor of all these construction: the problem of integration of differential graded Lie algebras and some ongoing projects inspired by it.


报告人简介:Vladimir Salnikov is a researcher at CNRS (National Centre for Scientific Research), La Rochelle University, France. His scientific interests are graded and generalized geometry, dynamical systems, applications to mechanics and theoretical physics.