Emner inden for algebraisk geometri og kommutiv algebra

2018/2019

Modulets indhold, forløb og pædagogik

Læringsmål

Viden

  • affine and projective algebraic geometry
  • algebraic function field theory
  • Gröbner basis theory over rings and modules
  • ideals and varieties
  • combinatorial commutative algebra

Færdigheder

  • are able to prove central results from the theory of algebraic geometry and commutative algebra
  • are able to employ advanced and abstract algebraic and algebraic geometric concepts and constructions
  • can conduct advanced calculations within one or more of the above mentioned areas 

Kompetencer

  • are able to apply central results from abstract algebra in the investigation of algebraic and algebraic geometric structures
  • are able to communicate the acquired knowledge and skills to a concrete audience
  • can reason at a concrete as well as at an abstract level concerning algebraic and algebraic geometric structures

Undervisningsform

Forelæsninger med tilhørende opgaveregning.

Omfang og forventet arbejdsindsats

Kursusmodulets omfang er 5 ECTS svarende til 150 timers studieindsats.

Eksamen

Prøver

Prøvens navnEmner inden for algebraisk geometri og kommutiv algebra
Prøveform
Skriftlig eller mundtlig
Individual oral or written exam or individual ongoing during the course.
ECTS5
BedømmelsesformBestået/ikke bestået
CensurIntern prøve
VurderingskriterierSom angivet i Fællesbestemmelser for uddannelser (Vurderingskriterier).
http:/​/​www.engineering.aau.dk/​uddannelse/​Studieadministration/​

Fakta om modulet

Engelsk titelTopics in Algebraic Geometry and Commutative Algebra
ModulkodeF-MAT-K3-5
ModultypeKursus
Varighed1 semester
SemesterEfterår
ECTS5
TompladsJa
UndervisningsstedCampus Aalborg
Modulansvarlig

Organisation

StudienævnStudienævnet for Matematik, Fysik og Nanoteknologi
FakultetDet Ingeniør- og Naturvidenskabelige Fakultet