Floer Theory Courses and Certifications

IMSA

Floer Theory and Quantum Groups

Explore Floer theory, quantum groups, and gauge theories in 3-manifolds. Discover connections between moduli spaces, Floer invariants, and skein modules in topological quantum field theory.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

IMSA

Skein Exact Triangles in Equivariant Singular Instanton Theory

Explore knot signatures and singular instanton homology, focusing on skein exact triangles in equivariant theory. Uncover new insights into link invariants and their categorifications.

• YouTube
• 59 minutes
• On-Demand
• Free Video

IMSA

Semi-Affineness of Wrapped Invariants on Affine Log Calabi-Yau Varieties

Explore mirror symmetry in affine log Calabi-Yau varieties, examining finiteness properties of Floer theoretic invariants and their implications for categorical crepant resolutions.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

IMSA

Birational Calabi-Yau's and Floer Cohomology

Explore the relationship between Gromov-Witten invariants of birational Calabi-Yau manifolds using Hamiltonian Floer theory, including the generalized McKay correspondence and small quantum products.

• YouTube
• 59 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - Homological Link Invariants from Floer Theory

Explore a groundbreaking connection between homological mirror symmetry and representation theory, solving the knot categorification problem and generalizing Heegard-Floer theory to simple Lie superalgebras.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

Stability Structures in Holomorphic Morse-Novikov Theory

Explore complex symplectic manifolds, Floer theory, and Morse-Novikov theory. Delve into analytic questions of convergence and generalization to almost-complex cases in this advanced mathematical lecture.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Mohammed Abouzaid: Bordism and Floer Theory

Explore the intersection of Morse theory and infinite-dimensional spaces in topology. Learn about recent advances in Floer theory and its applications to generalized homology and derived orbifold bordism.

• YouTube
• 50 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Mirror Symmetry via Floer Theoretic Invariants

Exploración de simetrías especulares mediante invariantes de teoría de Floer, enfocándose en subdominios de Delzant generalizados y cohomología simpléctica relativa en variedades simplécticas graduadas.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Counting Holomorphic Disks with Boundary on the Chiang Lagrangian

Exploración de invariantes de Gromov-Witten abiertos y discos holomorfos en la lagrangiana de Chiang, utilizando teoría de Floer y ecuaciones WDVV abiertas. Patrones periódicos y estructura aritmética.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Western Hemisphere Virtual Symplectic Seminar

Coproduct Structures in Floer Theory and String Topology

Exploración de estructuras coproducto en teoría de Floer y topología de cuerdas, con énfasis en cohomología simpléctica de variedades de Liouville y su importancia en matemáticas avanzadas.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory

Explore Heegaard branes in moduli spaces of Higgs bundles and their applications in mathematics, from geometric Langlands to low-dimensional topology, with insights on complex Chern-Simons theory and 4-manifold invariants.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

A-Infinity Functor in Symplectic Geometry and Gauge Theory

Explora la representabilidad del functor $A$ infinito en la teoría de Floer, geometría simpléctica y teoría gauge con Kenji Fukaya del SCGP.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video