Coursebooks

Introduction to Algebraic geometry

MATH-428

Lecturer(s) :

Patakfalvi Zsolt

Language:

English

Summary

Algebraic geometry is a central subject of modern mathematics, lying between differential geometry and number theory. The course will give an introduction to algebraic geometry, arriving at the end to the Riemann-Roch theorem for curves and to Bézout's theorem.

Content

Learning Prerequisites

Required courses

Recommended courses

Learning Outcomes

By the end of the course, the student must be able to:

Teaching methods

Ex cathedra lecture with exercises

Assessment methods

The final grade will be assigned based on the cummulative points of the student obtained from handed in homework solutions and from the written exam. The weights of the two parts are:

30% - homework

70 % - written exam

The homework will be required to hand in on a weekly basis.

Dans le cas de l¿art. 3 al. 5 du Règlement de section, l¿enseignant décide de la forme de l¿examen qu¿il communique aux étudiants concernés.

Supervision

Office hours No
Assistants Yes
Forum No

Resources

Notes/Handbook

There will be typed (latex) notes distributed on moodle.

In the programs

  • Mathematics - master program, 2019-2020, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      5
    • Subject examined
      Introduction to Algebraic geometry
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Applied Mathematics, 2019-2020, Master semester 2
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      5
    • Subject examined
      Introduction to Algebraic geometry
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks
  • Applied Mathematics, 2019-2020, Master semester 4
    • Semester
      Spring
    • Exam form
      Written
    • Credits
      5
    • Subject examined
      Introduction to Algebraic geometry
    • Lecture
      2 Hour(s) per week x 14 weeks
    • Exercises
      2 Hour(s) per week x 14 weeks

Reference week

MoTuWeThFr
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
Under construction
Lecture
Exercise, TP
Project, other

legend

  • Autumn semester
  • Winter sessions
  • Spring semester
  • Summer sessions
  • Lecture in French
  • Lecture in English
  • Lecture in German