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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#Derivations.
#Derivations.
#Representative objects: jets and differential forms.
#Representative objects: jets and differential forms.
#Fr\:olicher-Nijenhuis brackets and related cohomologies.  Algebraic model of Hamiltonian formalism.
#Frölicher-Nijenhuis brackets and related cohomologies.  Algebraic model of Hamiltonian formalism.


[[Category:Lectures|Krasil'shchik]]
[[Category:Lectures|Krasil'shchik]]

Revision as of 17:27, 3 July 2015

Autumn 2015

Syllabus

  1. Category and functors (introduction).
  2. Linear differential operators with values in modules. Main properties.
  3. Derivations.
  4. Representative objects: jets and differential forms.
  5. Frölicher-Nijenhuis brackets and related cohomologies. Algebraic model of Hamiltonian formalism.
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