First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
MATHEMATICS
Course unit
HOMOLOGY AND COHOMOLOGY
SC02111817, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course Second cycle degree in
MATHEMATICS
SC1172, Degree course structure A.Y. 2011/12, A.Y. 2017/18
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Degree course track GENERALE [010PD]
Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination HOMOLOGY AND COHOMOLOGY
Website of the academic structure http://matematica.scienze.unipd.it/2017/laurea_magistrale
Department of reference Department of Mathematics
Mandatory attendance No
Language of instruction English
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge BRUNO CHIARELLOTTO MAT/03

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
SC02111817 HOMOLOGY AND COHOMOLOGY BRUNO CHIARELLOTTO SC1172

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Core courses MAT/03 Geometry 6.0

Mode of delivery (when and how)
Period Second semester
Year 1st Year
Teaching method frontal

Organisation of didactics
Type of hours Credits Hours of
teaching
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

Calendar
Start of activities 26/02/2018
End of activities 01/06/2018

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.
Target skills and knowledge: basic commutative algebra and algebraic geometry
Examination methods: taylored on the basis of the students attitudes: oral and homeworks.
Assessment criteria: some new techniques will be introduced: we expect the student shows how to master them.
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).
Planned learning activities and teaching methods: in class and homeworks
Additional notes about suggested reading: we will indicate them during the class: as a part of a book or/and notes.
Textbooks (and optional supplementary readings)