Differential calculus in vector bundles: a (graded) algebraic approach

Speaker:    Jacob Kryczka

Time:    15:15-16:30     2022/11/30

Zoom: 559 700 6085     Passcode: BIMSA



We pose a new algebraic formalism for studying differential calculus in vector bundles. This is achieved by studying various functors of differential calculus over arbitrary graded commutative algebras. In particular we will describe a special class of short exact sequences of such functors and discuss how they may be interpreted as higher order Atiyah sequences. Time permitting, we will interpret the corresponding notion of the Atiyah class in this setting.



[BIMSA-BIT Differential Geometry Seminar]