Algebraic geometry 1000-M2AlgGeometry

(po angielsku) Lectures: 30 h Exercise classes: 30 h Self-study: reading reference materials: 30 h Self-study: solving problems: 30 h Preparations to the test and to the exam: 30 h Total 150 h - 6 ECTS

(po angielsku) * Understands the concep of algebraic sets and their regular and rational morphisms. (K_W01, K_W03, K_W04) * Understands the crucial role of commutative algebra in the development of modern algebraic geometry. (K_W01, K_W04) * Knows constructions of classical projective algebraic sets. (K_W01, K_W03) * Knows several global and local invariants attached to algebraic sets. (K_W02, K_W03)

(po angielsku) * Can use commutative algebra tools to solve problems concerning global and local properties of algebraic sets and their morphisms. (K_U01, K_U06, K_U10)

(po angielsku) * Can evaluate his/her own knowledge and skills and to develop it independently. (K_K03)

(po angielsku) Lectures accompanied by exercise classes.

- wykład informacyjny (konwencjonalny)

- klasyczna metoda problemowa
- ćwiczeniowa

(po angielsku) * Algebra (fields, field extensions, algebraically closed fields, commutative rings, maximal and prime ideals, ring homomorphisms, groups and their actions on sets) * Linear Algebra * Topology (equivalent ways to define topology on sets, basis of open sets)

Dodatkowe informacje (np. o kalendarzu rejestracji, prowadzących zajęcia, lokalizacji i terminach zajęć) mogą być dostępne w serwisie USOSweb:

• Strona przedmiotu 1000-M2AlgGeometry w USOSweb