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.