Mathematics Colloquium: A supergeometric viewpoint to differential geometry
- Event Type
- Seminar/Symposium
- Sponsor
- Department of Mathematics
- Location
- 245 Altgeld Hall
- Date
- Apr 11, 2024 4:00 pm
- Speaker
- Henrique Bursztyn (IMPA)
- Contact
- Jake Rasmussen
- rasmusj@illinois.edu
- Views
- 109
- Originating Calendar
- Mathematics Colloquium & Named Lectures
Abstract: I will discuss geometric structures that have gained interest in (higher) differential geometry and mathematical physics in recent years. A key focus will be on "Courant algebroids", objects with roots in geometric mechanics and Poisson geometry. I will show how concepts from "supergeometry" lead to effective methods for studying these differential geometric objects. The underlying principle is that complicated/unfamiliar objects in classical geometry can often be translated into standard/familiar geometric structures defined on "graded" manifolds. I will illustrate fruitful applications of this viewpoint.