Module page

Istituzioni di Geometria Superiore                  

academic year:   2012/2013
instructor:  Domenico Fiorenza
degree course:  Mathematics (magistrale)
type of training activity:  caratterizzante
credits:  9 (72 class hours)
scientific sector:  MAT/03 Geometria
teaching language:  italiano
period:  I sem (01/10/2012 - 18/01/2013)


Lecture meeting time and location

Presence: highly recommended

Module subject:

  • Complex and differential manifolds
  • de Rham cohomology
  • Cech cohomology
  • Spectral sequences
  • Poincaré duality

Type of course: standard

Knowledge and understanding: Successful students will be familiar with the language of differential forms and of de Rham cohomology of differential manifolds.

Skills and attributes: Succesfull students will be able to deal with smooth manifolds (manipulation of differential forms, computation of Euler characteristic and of cohomology groups, integration of differential forms...)

Personal study: the percentage of personal study required by this course is the 65% of the total.

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