Sheaf Theory Courses and Certifications

Applied Algebraic Topology Network

Applied Algebraic Topology Networks Seminar - Applications and Theory of Network Structure Through Topology and Algebra

Explore how network structure is revealed through topology and algebra in this comprehensive seminar series covering graph neural networks, brain connectivity, and mathematical frameworks.

• YouTube
• 13 hours 45 minutes
• On-Demand
• Free Video

ICTP Mathematics

Stable Pair Invariants and Derived Categories - Lecture 1

Explore stable pair invariants and derived categories in mathematics with expert Y. Toda in this comprehensive lecture from ICTP Mathematics.

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

Applied Algebraic Topology Network

A Sheaf-based Approach to Graph Neural Networks

Explore sheaf theory's application to Graph Neural Networks, offering a novel perspective on Geometric Deep Learning beyond traditional geometric structures.

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

Applied Algebraic Topology Network

Sheaves as Computable and Stable Topological Invariants for Datasets

Explores sheaf theory in topological data analysis, connecting level-sets persistence with derived sheaves. Presents functorial equivalences, stability theorems, and barcode decompositions for continuous data analysis.

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

International Centre for Theoretical Sciences

Residues and Trace Maps in Grothendieck Duality - Lecture 3

Explores residues and trace maps in Grothendieck duality theory, advancing understanding of algebraic geometry and commutative algebra concepts for researchers and advanced students.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Modeling Shapes and Fields - A Sheaf Theoretic Perspective

Explore topological transforms for shape and field modeling, including Euler Characteristic and Lifted Euler Characteristic. Learn about sheaf theory in shape space construction and its applications in statistical analysis.

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

IMSA

Filtered Ends and Bochner Hartogs Dichotomy on Complete Kahler Manifolds

Explore filtered ends and Bochner Hartogs dichotomy on complete Kahler manifolds, examining relationships between generalized ends and first compactly supported cohomology.

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

IMSA

Homotopy Path Algebras

Explore Homotopy Path Algebras and their applications in algebraic topology, sheaf theory, and toric geometry. Discover connections to homological mirror symmetry and recent developments in the field.

• YouTube
• 54 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

Constructible Sheaves and Filtered D-Modules

Explore the Riemann-Hilbert correspondence and its p-adic analogue, connecting constructible sheaves to filtered D-modules with applications in algebraic geometry.

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

International Centre for Theoretical Sciences

Residues and Trace Maps in Grothendieck Duality - Lecture 4

Explore residues and trace maps in Grothendieck Duality, advancing understanding of algebraic geometry and commutative algebra concepts within the broader context of dualities in topology and algebra.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Sheaf Based Modeling of Wireless Communications

Explore sheaf-based modeling for wireless communications, covering topology, simplicial complexes, interference, and network activation. Learn about persistence, homological invariants, and simulation examples.

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

Models of Consciousness Conferences

Making Up Our Minds

Explore how minds and thoughts are constructed through cognitive processes, examining the nature of consciousness, memory, and perception using interdisciplinary models and mathematical frameworks.

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

Applied Algebraic Topology Network

A Sheaf-Theoretic Construction of Shape Space

Sheaf-theoretic approach to construct shape space using Persistent Homology Transform. Explores homotopy sheaves, metrics, stability theorems, and approximation of manifolds.

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

BIMSA

The Global Unramified Geometric Langlands Equivalence

Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.

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