Sheaf Theory Courses and Certifications

Stony Brook Mathematics

Quantitative Ell-Adic Sheaf Theory

Explore quantitative bounds for étale cohomology groups and their applications in algebraic geometry. Learn about complexity measures for sheaves and how they interact with various functors.

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

M-Seminar, Kansas State University

Virasoro Constraints in Sheaf Theory

Explore Virasoro constraints in sheaf theory, focusing on recent developments and their application to moduli spaces of sheaves using vertex algebra and wall-crossing techniques.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

BunG Seminar

The Global Hecke Action - Talk 41

Delve into geometric Satake theory and explore how Rep(G^vee) actions on BunG sheaves integrate into global Hecke modifications, with applications in Betti, de Rham, and étale settings.

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

Institute for Advanced Study

Singularities of Constructible Sheaves

Explore advanced mathematical concepts in constructible sheaves and their singularities, delving into complex algebraic geometry and topology.

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

Applied Algebraic Topology Network

Exemplars of Sheaf Theory in TDA

Exploring sheaf theory applications in topological data analysis through four case studies, covering level set persistence, merge trees, and innovative approaches to persistent homology.

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

Institute for Pure & Applied Mathematics (IPAM)

How Can Large Language Models Learn From Humans? - Understanding Psycholinguistic Predictions and Sheaf Theory

Explore how combining lexical predictions from LLMs with syntactic structures can improve language understanding, using sheaf theory to better match human reading patterns and comprehension.

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

NPTEL-NOC IITM

Introduction to Algebraic Geometry

Explore fundamental concepts in algebraic geometry, from commutative algebra to schemes, covering varieties, morphisms, and sheaf theory with comprehensive tutorials.

• YouTube
• 1 day 9 hours 5 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Virtual Workshop on Recent Developments in Geometric Representation Theory

Explore cutting-edge research in geometric representation theory through expert lectures on quantum groups, perverse sheaves, and algebraic structures.

• YouTube
• 19 hours 37 minutes
• On-Demand
• Free Video

ICTP Mathematics

Algebraic Geometry - Lecture 10

Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.

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

ICTP Mathematics

Algebraic Geometry - Lecture 8

Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.

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

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - New Foundations for Analytic Geometry

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.

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

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - Lecture 6

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.

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

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - Lecture 5

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.

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

Topos Institute

Three Toposes for Probability and Randomness

Explore three innovative toposes that revolutionize probabilistic reasoning, random variables, and synthetic probability theory, offering new perspectives on measurability and randomness.

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

Harvard CMSA

The Geometric Langlands Conjecture

Delve into advanced mathematical concepts as Sam Raskin explains the proof and main ideas behind the unramified, global geometric Langlands conjecture in this Yale-Harvard collaboration.

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