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Higher Geometry 1

A.Y. 2024/2025
6
Max ECTS
42
Overall hours
SSD
MAT/03
Language
Italian
Learning objectives
The course aims at studying some advanced topics in Geometry, which are not covered, or only marginally mentioned, in the other courses.
Expected learning outcomes
Acquisition of the specific skills needed to apply the studied tools.

Lesson period: Second semester

Lessons timetable

Assessment methods: Esame
Assessment result: voto verbalizzato in trentesimi

Exams calendar

Single course

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Course syllabus and organization

Single session

Responsible
Oestvaer Paul Arne
Lesson period
Second semester
Course syllabus
Vector bundles, algebraic and topological K-theory, vector fields on spheres, stable homotopy.
Prerequisites for admission
Basic knowledge of algebraic geometry, algebraic topology and manifolds.
Teaching methods
Lectures.
Teaching Resources
J. Milnor. J. D. Stasheff: Characteristic Classes, Annals of Mathematics Studies 76, Princeton University Press.

Dugger: A geometric introduction to K-theory.

Weibel: The K-book.
Assessment methods and Criteria
The exam is oral. During the exam, the student will be asked to
illustrate some of the contents of the course to evaluate her/his
knowledge and comprehension of the topics treated during the course.
MAT/03 - GEOMETRY - University credits: 6
Lessons: 42 hours
Professor: Oestvaer Paul Arne
Shifts:
Turno
Professor: Oestvaer Paul Arne
Professor(s)