484057-HS2023-0-Seminar: Complex Algebraic Curves





Root number 484057
Semester HS2023
Type of course Seminar
Allocation to subject Mathematics
Type of exam not defined
Title Seminar: Complex Algebraic Curves
Description We study the classic theory of algebraic curves over the complex numbers. After a gentle introduction, we discuss Bezout's theorem on the intersection number of algebraic curves, generalising a well-known fact about lines in the plane. We then move on to the degree-genus formula, and the famous theorem of Riemann-Roch. As we will see, there is a rich interplay of algebra, topology and geometry in this topic, which has been studied for at least 300 years.

The main reference for this seminar is the book "Complex Algebraic Curves" by Frances Kirwan.
ILIAS-Link (Learning resource for course) Registrations are transmitted from CTS to ILIAS (no admission in ILIAS possible). ILIAS
Link to another web site
Lecturers Prof. Dr. Sebastian BaaderInstitute of Mathematics 
ECTS 3
Recognition as optional course possible Yes
Grading passed/failed
 
Dates Tuesday 15:15-17:00 Weekly
 
Rooms Hörsaal B005, Exakte Wissenschaften, ExWi
 
Students please consult the detailed view for complete information on dates, rooms and planned podcasts.