Heegaard Floer Homology Courses and Certifications

IAS | PCMI Park City Mathematics Institute

Heegaard Floer Homology

Dive into Heegaard Floer homology through comprehensive lectures covering fundamental concepts and advanced applications in low-dimensional topology and knot theory.

• YouTube
• 3 hours 53 minutes
• Self-Paced
• Free Video

Simons Foundation

Real Heegaard Floer Homology - March 27, 2025

Delve into the construction of real Heegaard Floer homology for 3-manifolds with involution, exploring its topological invariance, connections to Miyazawa's work, and applications to exotic RP^2-knots.

• YouTube
• 50 minutes
• Self-Paced
• Free Video

IMSA

Curious Filtration from the Floer Theory and C*-Actions

Explore the construction of symplectic cohomology for open symplectic manifolds with pseudo-holomorphic C*-actions, including filtration applications for ADE resolutions and Higgs bundles.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Abstract Floer Theory

Explore abstract Floer theory in symplectic geometry through expert insights from a leading mathematician at this specialized workshop on conservative dynamics.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Heegaard Floer Homology and Topology in Dimensions 3.5 - 3

Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions between 3 and 3.5 in this advanced mathematical lecture.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Heegaard Floer Homology and Topology in Dimensions 3.5 - 2

Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions between 2 and 3.5 with expert Jen HOM.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Heegaard Floer Homology and Topology in Dimensions 3.5 - 1

Explore Heegaard Floer homology and its applications in low-dimensional topology, focusing on dimensions 3.5 to 1 in this advanced mathematics lecture.

• YouTube
• 1 hour 35 minutes
• Self-Paced
• Free Video

IMSA

Instanton Floer Homology and Heegaard Diagrams

Exploring the connection between instanton Floer homology and Heegaard diagrams in 3-manifolds, with insights on extracting information and potential applications in topology.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

QuantumTopology

Ph. Kirablev - Combinatorial Description of Heegaard Floer Homology

Explore combinatorial approaches to Heegaard Floer homology, a powerful invariant in low-dimensional topology, with insights from Ph. Kirablev's lecture on advanced mathematical techniques.

• YouTube
• 1 hour 24 minutes
• Self-Paced
• Free Video

International Mathematical Union

Jennifer Hom: Homology Cobordism and Heegaard Floer Homology

Explore homology cobordism and Heegaard Floer homology, delving into manifolds, theorems, and chain complexes in this advanced mathematical lecture.

• YouTube
• 44 minutes
• Self-Paced
• Free Video

Banach Center

Detecting Corks Using Heegaard Floer Homology

Explore Heegaard Floer homology's role in detecting corks and discover new examples addressing Gompf's question in 4-manifold exotic smooth structures.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

University of Chicago Department of Mathematics

Heegaard Floer Homology: From Heegaard Diagrams to Holomorphic Disks - Lecture 2

Delve into Heegaard Floer homology, a tool for studying three- and four-dimensional manifolds using symplectic geometry-inspired methods, including applications and computational advances.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Institute for Advanced Study

Khovanov and Heegaard Floer Homology

Explore advanced connections between Khovanov and Heegaard Floer homology in this specialized symplectic geometry seminar from Princeton University and IAS.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Symplectic Geometry Seminar

Explore advanced symplectic geometry through expert lectures covering Floer theory, contact topology, Hamiltonian dynamics, and mirror symmetry from leading researchers.

• YouTube
• 5 days 18 hours 24 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Floer Cohomology and Arc Spaces - Mark McLean

Explore Floer cohomology, arc spaces, and symplectic geometry with Mark McLean. Delve into contact structures, jet spaces, and mapping moduli spaces in this advanced mathematical lecture.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video