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Sino-Russian Mathematics Center-JLU Colloquium(2023-021)—Higher order algebroids and representations up to homotopy

Posted: 2023-09-22   Views: 

Title:Higher order algebroids and representations up to homotopy

Reporter:Mikołaj Rotkiewicz

Work Unit:University of Warsaw. Institute of Mathematics

Time:2023/09/27 20:00-22:00

Address:Zoom id:904 645 6677  Password:2023


Summary of the report:

The concept of a higher algebroid, as introduced by M. Jóźwikowski and M. Rotkiewicz, naturally generalizes the notions of an algebroid and a higher tangent bundle. The idea is based on a description of (Lie) algebroids as differential relations of a special kind. My goal is to explain the notion of a higher algebroid in a more standard language, i.e. in terms of some bracket operations and vector bundle morphisms. In order two we end up with representation up to homotopy of (Lie) algebroids.

Introduction of the Reporter:

Mikołaj Rotkiewicz is an academic teacher and a researcher in the Faculty of Mathematics, Informatics and Mechanics in Warsaw. He obtained PhD in the field of Lie groups and Lie algebras. He was granted a fellowship from the Polish Academy of Sciences. Earlier he was awarded in many mathematical competitions. He is an author of a dozen publications in prestigious journals. His mathematical interest lies in graded geometry, theory of supermanifolds, geometric mechanics and recreational mathematics.