YoVDO

Complex Surfaces With Many Algebraic Structures

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Algebraic Structures Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore complex surfaces with multiple algebraic structures in this lecture by Anna Abasheva from the Hausdorff Center for Mathematics. Delve into the GAGA principle and its limitations for non-compact varieties, examining Serre's counter-example. Discover a new example of a complex surface with countably many algebraic structures, involving the blowup of a projective plane and the removal of an elliptic curve's strict preimage. Learn about the Hopf transform and its role in constructing alternative algebraic structures by replacing neighborhoods of elliptic curves. Gain insights into the intricate relationship between complex geometry and algebraic varieties in this hour-long presentation.

Syllabus

Anna Abasheva: Complex surfaces with many algebraic structures


Taught by

Hausdorff Center for Mathematics

Related Courses

Discrete Structures
Indian Institute of Technology, Kharagpur via Swayam
Discrete Mathematics (IITG)
Indian Institute of Technology Guwahati via Swayam
Commutative Algebra
NPTEL via YouTube
Linear Algebra
NPTEL via YouTube
Group Theory
Dr. Gajendra Purohit via YouTube