YoVDO

PL-Surfaces in Homology 4-Balls

Offered By: IMSA via YouTube

Tags

Low-Dimensional Topology Courses Gauge Theory Courses Heegaard Floer Homology Courses

Course Description

Overview

Explore a 54-minute conference talk from the Gauge Theory and Low Dimensional Topology event, focusing on PL-surfaces in homology 4-balls. Delve into Jennifer Hom's research on manifold-knot pairs (Y, K) where Y is a homology 3-sphere bounding a homology 4-ball. Learn about Adam Levine's proof regarding the existence of pairs (Y, K) where K does not bound a PL-disk in any bounding homology ball. Discover how Hom and collaborators Matthew Stoffregen and Hugo Zhou demonstrate that the minimum genus of a PL surface S in any bounding homology ball can be arbitrarily large, using Heegaard Floer homology in their proof. Gain insights into this complex topic in low-dimensional topology presented at the University of Miami's Lakeside Village Pavilion.

Syllabus

Jennifer Hom, Georgia Tech: PL-surfaces in homology 4-balls


Taught by

IMSA

Related Courses

Foundations of Classical Electrodynamics
Indian Institute of Technology, Kharagpur via Swayam
Superstring Theory: The DNA of Reality
The Great Courses Plus
Scattering Amplitudes in Gauge Theory as Chiral Algebra Correlators - Kevin Costello
Institute for Advanced Study via YouTube
Gauge Theory and the Analytic Approach to Geometric Langlands - Edward Witten
Institute for Advanced Study via YouTube
Origins of the Laws of Nature - Peter Atkins
The Royal Institution via YouTube