Joseph Krasil'shchik's lectures on the linear differential operators over commutative algebras and geometry of jet spaces: Difference between revisions
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Autumn 2015 | '''Autumn 2015''' | ||
==Syllabus== | ==Syllabus== | ||
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#Category and functors (introduction). | #Category and functors (introduction). | ||
#Linear differential operators with values in modules. Main properties. | #Linear differential operators with values in modules. Main properties. | ||
#Derivations. | |||
#Representative objects: jets and differential forms. | |||
#Fr\:olicher-Nijenhuis brackets and related cohomologies. Algebraic model of Hamiltonian formalism. | |||
[[Category:Lectures|Krasil'shchik]] | [[Category:Lectures|Krasil'shchik]] |
Revision as of 17:26, 3 July 2015
Autumn 2015
Syllabus
- Category and functors (introduction).
- Linear differential operators with values in modules. Main properties.
- Derivations.
- Representative objects: jets and differential forms.
- Fr\:olicher-Nijenhuis brackets and related cohomologies. Algebraic model of Hamiltonian formalism.