Formality Theorem for Differential Graded Manifolds

Explore the formality theorem for differential graded manifolds in this comprehensive lecture from the Workshop on Supergeometry and Bracket Structures in Mathematics and Physics. Delve into advanced mathematical concepts as Mathieu Stiénon from The Pennsylvania State University guides you through topics such as differential graded algebra, polydifferential algebra, and the HKR map. Gain insights into the definition and properties of differential graded manifolds, including tangent distribution, poly vector fields, and the Atr class. Examine the modified differential and project goals related to this complex subject. Suitable for advanced mathematics and physics students, this in-depth presentation offers a specialized look at the intersection of supergeometry and bracket structures in contemporary mathematical research.

Introduction
Formality theorem
Differential graded algebra
Polydifferential algebra
HKR map
Project goals
What are differential graded manifolds
Definition of a differential graded manifold
Tangent distribution
Poly vector fields
Modified differential
Atr class
Specialization