- Seminars
- Projective algebraic geometry and its applications
Projective algebraic geometry and its applications
Speaker
Prof. Jan Stovicek - Charles University Prague
Date
Jun 8, 2020 - Time:
14:30
until 12/6/2020, see "Algebraic Geometry"
The lectures will take place live on zoom on June 8,10,12, 2020, 14:30 - 16:30, and will cover the last part of the course "Algebraic Geometry".
The aim of the series of lectures is to explain projective geometry and, as an application, basic facts about the Krull dimensions of algebraic varieties.
I will discuss in detail projective spaces, (quasi-)projective varieties and the homomorphisms between these. I will explain the projective elimination theorem and its consequence - each homomorphism from a projective variety has a Zariski closed image.
Finally, I will explain the concept of Krull dimension and establish basic properties - among them proving that the affine space A^n and the projective space P^n have the expected Krull dimension n.
Abstract:
The aim of the series of lectures is to explain projective geometry and, as an application, basic facts about the Krull dimensions of algebraic varieties.
I will discuss in detail projective spaces, (quasi-)projective varieties and the homomorphisms between these. I will explain the projective elimination theorem and its consequence - each homomorphism from a projective variety has a Zariski closed image.
Finally, I will explain the concept of Krull dimension and establish basic properties - among them proving that the affine space A^n and the projective space P^n have the expected Krull dimension n.
- Data pubblicazione
- Oct 22, 2019
- Contact person
- Lidia Angeleri
- Department
- Computer Science
- School
- Science and Engineering