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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
E-Mail
rasmusj@illinois.edu
Views
80
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.

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