Universität Wien
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250130 VO Advanced Algebraic Geometry (2021S)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik
Moodle

Registration/Deregistration

Note: The time of your registration within the registration period has no effect on the allocation of places (no first come, first served).
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Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

Zoom link: https://us02web.zoom.us/j/83378062301?pwd=enU4eElmd3djSU4xYWUrYUQ5Yy9IUT09

  • Monday 01.03. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 05.03. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 08.03. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Monday 15.03. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 19.03. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 22.03. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 26.03. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 12.04. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 16.04. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 19.04. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 23.04. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 26.04. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 30.04. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 03.05. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 07.05. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 10.05. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 14.05. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 17.05. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 21.05. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Friday 28.05. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 31.05. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 04.06. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 07.06. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 11.06. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 14.06. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 18.06. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 21.06. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock
  • Friday 25.06. 11:30 - 13:00 Digital
    Hörsaal 2 Oskar-Morgenstern-Platz 1 Erdgeschoß
  • Monday 28.06. 09:45 - 10:30 Digital
    Seminarraum 12 Oskar-Morgenstern-Platz 1 2.Stock

Information

Aims, contents and method of the course

This is continuation of the "basic algebraic geometry" course last semester, which served an introduction to schemes. We will dive deeper in algebraic geometry and try to cover sections 2,3,4 of Hartshorne's book. The main motivation is to study moduli spaces in the future. Main topics are:
1. Proper, separated, smooth morphisms, differential forms.
2. Coherent sheaves and their cohomology.
3. Curves (maybe surfaces).

Assessment and permitted materials

Oral exam

Minimum requirements and assessment criteria

Examination topics

Reading list

Hartshorne, "Algebraic geometry"
Eisenbud, Harris "Geometry of Schemes"
Vakil, "Foundations of Algebraic Geometry"
but the most importantly:
The Stacks Project https://stacks.math.columbia.edu/

Association in the course directory

MALV

Last modified: Fr 12.05.2023 00:21