Graph Theory Courses

Institute for Pure & Applied Mathematics (IPAM)

A General Theory for Discrete-Time Mean-Field Games

Comprehensive theory of discrete-time mean-field games, covering perfect and imperfect information structures, existence of equilibria, and extensions to risk-sensitive scenarios and hierarchies.

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

IMSA

Gauge Theory and Low Dimensional Topology - Conference Lecture

Explore gauge theory and low-dimensional topology with expert insights from Paul Feehan in this engaging 48-minute conference talk at the University of Miami.

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

IMSA

Gauge Theory and Low Dimensional Topology

Explore gauge theory and low-dimensional topology with insights from MIT expert Tom Mrowka in this conference talk at the University of Miami.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

IMSA

Periods, Shafarevich Maps and Applications - Nodal Surfaces and Coding Theory

Explore nodal surfaces and coding theory in K3 geometry. Learn about period maps, Torelli theorem, and binary codes in relation to polarized nodal K3 surfaces and their components.

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

IMSA

Homological Mirror Symmetry - Floer Homotopy Theory

Explore recent developments in Floer generalized homology groups, their applications, and ongoing research on curvature in Floer homotopy theory with expert Mohammed Abouzaid.

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

IMSA

Homological Mirror Symmetry - Mohammed Abouzaid - Floer Homotopy Theory Pt. II

Explore recent advancements in Floer generalized homology groups, their applications, and ongoing research on curvature in this context with Mohammed Abouzaid.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - Floer Homotopy Theory

Explore recent developments in Floer generalized homology groups, their applications, and ongoing research on curvature in Floer homotopy theory with Mohammed Abouzaid.

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

IMSA

Homological Mirror Symmetry - Coulomb Branches & Rozansky-Witten Theory Pt. II

Explore Rozansky-Witten theory and its connection to homological mirror symmetry, from basics to modern developments involving non-compact and infinite-dimensional target spaces.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - Coulomb Branches and Rozansky-Witten Theory

Explore Rozansky-Witten theory and its connection to homological mirror symmetry, from basics to modern developments involving non-compact spaces and ongoing research.

• YouTube
• 1 hour 10 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

Deformation Theory for Finite Cluster Complexes

Explore geometric relationships between cluster varieties and complexes, focusing on finite cluster types with universal coefficients and their connection to Hilbert schemes via torus actions.

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

IMSA

Non-Archimedean Quantum K-Theory and Gromov-Witten Invariants

Explore non-archimedean geometry's role in Gromov-Witten invariants, focusing on derived approaches, K-theory, and motivic cohomology. Learn about geometric relations and their implications for numerical invariants.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

IMSA

Holomorphic Floer Theory, Quantum Wave Functions and Resurgence

Explore holomorphic Floer theory, exponential integrals, and resurgence in algebraic geometry. Discover connections to quantum wave functions and infinite-dimensional applications.

• YouTube
• 1 hour 6 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

IMSA

Virtual Reductions and Intersection Theory on Moduli Space of Sheaves on Calabi-Yau 4 Folds

Explore virtual reductions of fundamental classes on moduli spaces of sheaves in Calabi-Yau 4-folds, examining applications to Donaldson-Thomas invariants and connections to threefold theories.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video