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

组织者

河井公大朗 , 钱超

演讲者

雅各布·克里茨卡

时间

2022年11月30日 15:15 至 16:30

地点

Online

线上

Zoom 559 700 6085 (BIMSA)

摘要

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.