Course unit
HOMOLOGY AND COHOMOLOGY
SC02111817, A.A. 2017/18
Information concerning the students who enrolled in A.Y. 2017/18
ECTS: details
Type 
ScientificDisciplinary 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 
Start of activities 
26/02/2018 
End of activities 
01/06/2018 
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) 

