Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Stabilizing Decomposition of Multiparameter Modules

Applied Algebraic Topology Network via YouTube

Overview

Explore the challenges and recent advancements in stabilizing decomposition of multiparameter modules in this 46-minute lecture by HÃ¥vard Bakke Bjerkevik. Delve into the complexities of multiparameter module decomposition, understanding why it is inherently unstable compared to one-parameter persistence modules. Discover why conventional approaches to establishing stability theories for multiparameter module decomposition often fall short. Learn about groundbreaking research that demonstrates the possibility of proving decomposition stability theorems despite these obstacles. If time permits, examine a conjecture that could potentially strengthen the main stability result for staircase decomposable modules, with implications for other areas of multipersistence. Gain insights from the speaker's arXiv preprint, which forms the basis of this talk presented for the Applied Algebraic Topology Network.

Syllabus

HÃ¥vard Bakke Bjerkevik (6/7/23): Stabilizing decomposition of multiparameter modules

Taught by

Applied Algebraic Topology Network

Reviews

Start your review of Stabilizing Decomposition of Multiparameter Modules

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.