YoVDO

Ambidexterity III by Neil Strickland

Offered By: International Centre for Theoretical Sciences via YouTube

Tags

Algebraic Topology Courses Commutative Algebra Courses Homological Algebra Courses Modular Representation Theory Courses Derived Categories Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the concept of ambidexterity in mathematics through this lecture by Neil Strickland, part of the "Dualities in Topology and Algebra" program at the International Centre for Theoretical Sciences. Delve into advanced topics in algebraic topology, commutative algebra, and modular representation theory of finite groups, focusing on duality phenomena and classification problems in tensor-triangulated categories. Gain insights into the connections between derived categories of commutative rings, stable categories of finite groups, and stable homotopy categories in topology. Examine how ideas from commutative algebra and algebraic geometry have been applied to modular representation theory and stable homotopy theory, including Grothendieck duality theory and Gorenstein rings. Discover the classification of thick and localising subcategories of triangulated categories and the computation of their spectra in the sense of Balmer. Suitable for those with a background in algebraic topology, commutative algebra, and homological algebra.

Syllabus

Ambidexterity III by Neil Strickland


Taught by

International Centre for Theoretical Sciences

Related Courses

Lie Algebras and Homotopy Theory - Jacob Lurie
Institute for Advanced Study via YouTube
Windows and the BGMN Conjecture
IMSA via YouTube
Windows and Geometric Invariant Theory
IMSA via YouTube
Comparative Stability of Two Zigzag Bottleneck Distances
Applied Algebraic Topology Network via YouTube
A Classical View on Derived Algebraic Geometry
International Mathematical Union via YouTube