ECTS - University of Pisa
Scheda programma d'esame
GEOMETRY 2
RICCARDO BENEDETTI
Academic year2016/17
CoursePHYSICS
Code241AA
Credits6
PeriodSemester 2
LanguageItalian

ModulesAreaTypeHoursTeacher(s)
GEOMETRIA 2MAT/03LEZIONI48
RICCARDO BENEDETTI unimap
Programma non disponibile nella lingua selezionata
Learning outcomes
Knowledge
The student who successfully completes will be able to demonstrate a good knowledge of more advanced topics in (finite dimensional) linear algebra (with respect to the ones developed in the first year course), including the theory of Jordan's canonical form, Witt's theory, the Hermitian spectral theorem, the basic results on representation theory of finite groups.
Assessment criteria of knowledge
The student must be able to demonstrate his/her knowledge of the course material and the ability of solving related exercises or problems.

Methods:

  • Final oral exam
Teaching methods

Delivery: face to face

Learning activities:

  • attending lectures
  • individual study
  • Bibliography search

Attendance: Advised

Teaching methods:

  • Lectures
Syllabus
Jordan canonical form (in particular over the complex and real fields); Duality and basic isomorphisms induced by a non degenerate scalar product. The Hermitian spectral tehorem for normal operators. Witt's thory. Fundamental results on the representation theory of finite groups.
Bibliography
There are not required reading and the course will not follow any specific text. The following (among many others) are useful books: M. Nacinovich, Elementi di geometria analitica, Liguori 1996 S. Lang, Algebra lineare, Bollati-Boringhieri C. Ciliberto, Algebra lineare, Bollati-Boringhieri J-P. Serre, Linear Representations of Finite Groups, Graduate Texts in Mathemat- ics, 42. New YorkHeidelberg: Springer-Verlag 1977.
Updated: 14/11/2016 17:27