HOMOLOGY AND COHOMOLOGY

Second cycle degree in MATHEMATICS

Campus: PADOVA

Language: English

Teaching period: Second Semester

Lecturer: BRUNO CHIARELLOTTO

Number of ECTS credits allocated: 6


Syllabus
Prerequisites: we expect the student knows that it is possible to associate some invariants (fundamental group..) to topological spaces and he knows the existence of some topologies as the Zariski's one.
Examination methods: taylored on the basis of the students attitudes: oral and homeworks.
Course unit contents: Starting from the basic definition of the algebraic topology we will introduce the definition of homology and cohomology for a topological space. Later we will see how such a idea can be "realized" in other cases by specializing the basic space in an algebraic variety and/or a complex analytic space (de Rham).