YoVDO

On the Direct Summand Conjecture and Beyond

Offered By: BIMSA via YouTube

Tags

Commutative Algebra Courses Birational Geometry Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a 47-minute conference talk by Yves André on the direct summand conjecture and its implications in commutative algebra. Delve into the history of this elementary-looking statement proposed by M. Hochster 55 years ago, which has become a central piece in the realm of homological conjectures. Learn about André's proof of the conjecture using p-adic (perfectoid) methods and discover how the arguments have been simplified over time. Gain insights into the application of these techniques to birational geometry in mixed characteristic. This talk provides a comprehensive overview of recent developments in this field, offering mathematicians and researchers a deeper understanding of the direct summand conjecture and its far-reaching consequences in modern algebra and geometry.

Syllabus

Yves André: On the direct summand conjecture and beyond #ICBS2024


Taught by

BIMSA

Related Courses

New Results on Rationality in Algebraic Geometry - Lecture 1
International Centre for Theoretical Sciences via YouTube
Floer Cohomology and Birational Geometry
International Mathematical Union via YouTube
Birational Geometry of Moduli Spaces via the Essential Skeleton
IMSA via YouTube
Birational Geometry of Sextic Double Solids with a Compound A_n Singularity
IMSA via YouTube
Minimal Exponents of Singularities
IMSA via YouTube