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New Results on Rationality in Algebraic Geometry - Lecture 1

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Algebraic Geometry Courses Birational Geometry Courses

Course Description

Overview

Explore a comprehensive lecture on new developments in algebraic geometry, focusing on rationality in algebraic varieties. Delve into the complexities of birational geometry, unirational and rationally connected varieties, and recent obstructions to rationality. Examine the powerful degeneration argument and its applications, including the decomposition of the diagonal. Investigate Chow groups, birational invariants, and unramified cohomology as tools for distinguishing between rational and unirational varieties. Learn about the Artin-Mumford invariant, cohomological decomposition of the diagonal, and their connections to the Clemens-Griffiths criterion. Gain insights into cutting-edge research in complex algebraic geometry, presented by renowned mathematician Claire Voisin from the Collège de France.

Syllabus

Date: 01 October 2018,
Date & Time: Monday, 1 October 2018, PM
Date & Time: Tuesday, 2 October 2018, AM
Date & Time: Wednesday, 3 October 2018, AM
Date & Time: Thursday, 4 October 2018, AM
Date & Time: Friday, 5 October 2018, AM
ICTS
Some new results on rational Lecture - 01ity
An overview of ICTS
The ICTS Campus - Imagined?
The ICTS Campus - Realised 2017
ICTS and its Mandate
ICTS Research
The Wall Street Journal
ICTS Programs
ICTS Programs - Directions
ICTS Programs - Numbers
ICTS Programs - A Sampling
ICTS Outreach
ICTS Outreach - Initiatives
ICTS Outreach-Kaapi with Kuriosity
10th Anniversary Event
Thank You
Smooth protective variant
Definitions
Formulate the last definition
More accurate
Problem
Definition
Example
Proof
Lemma
Remark
On the - problem
Theorem
Invariant theorem
Proof


Taught by

International Centre for Theoretical Sciences

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