Derived Categories Courses and Certifications

Windows and the BGMN Conjecture

Explore the BGMN Conjecture, semi-orthogonal decomposition, and the method of windows in this 1-2 hour material from the University of Miami.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Online Course

Windows and Geometric Invariant Theory

Explore the theory of windows in algebraic varieties with the University of Miami. Learn about GIT constructions, cohomology computations, and semi-orthogonal decompositions.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Online Course

Intermediate Jacobians of Gushel-Mukai Varieties

Explore the intermediate Jacobians of Gushel-Mukai varieties with Alexander Kuznetsov from the University of Miami. Understand birational and categorical counterparts in this 1-2 hour study.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

Complex Surfaces with P_g=Q=0 via Birational Geometry, Derived Category and Gauge Theory

Explore complex surfaces theory with University of Miami's Kyoung-Seog Lee, delving into birational geometry, derived category, and gauge theory. 1-2 hours workload.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

Generation in Characteristic P

Learn to construct generators for derived categories in nonzero characteristic, in under an hour with the University of Miami.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves

Explore the relationship between derived categories and motives of moduli spaces of vector bundles on curves in this less than 1-hour material from the University of Miami.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

Institute for Advanced Study

Lie Algebras and Homotopy Theory - Jacob Lurie

Dive into Lie Algebras and Homotopy Theory with Jacob Lurie, a professor at the Institute for Advanced Study. Expect 1-2 hours of material.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

João Lourenço- Towards Bezrukavnikov via P-adic Central Sheaves

Explore the equivalence of derived categories of sheaves and p-adic central sheaves in this 1-2 hour study by the Hausdorff Center for Mathematics.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Applied Algebraic Topology Network

Comparative Stability of Two Zigzag Bottleneck Distances

Explore the comparative stability of two Zigzag Bottleneck Distances in less than an hour with the Applied Algebraic Topology Network. Understand their similarities, differences, and applications.

• YouTube
• 29 minutes
• On-Demand
• Free Online Course

International Mathematical Union

A Classical View on Derived Algebraic Geometry

Explore derived algebraic geometry with Barbara Fantechi in this short program offered by the International Mathematical Union.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Introduction to A-Infinity Structures - Bernhard Keller

Explore A-infinity algebras, their modules, and derived categories with Bernhard Keller at the Hausdorff Center for Mathematics. Dive into representation theory, topological origins, and minimal models.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Introduction to A-Infinity Structures - Bernhard Keller

Explore A-infinity algebras, their modules, and derived categories with Bernhard Keller at the Hausdorff Center for Mathematics. Dive into representation theory and topological origins in this 1-2 hour study.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Ambidexterity I by Neil Strickland

Explore duality phenomena in algebra and topology with experts from the International Centre for Theoretical Sciences. Expect 1-2 hours of material over two weeks.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Localisation in Homotopy Theory by Abhinandan Das

Explore algebraic topology, commutative algebra, and modular representation theory in a two-week workshop by International Centre for Theoretical Sciences. Expect 5 hours of lectures daily.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Duality and Stratification in Commutative Algebra by Srikanth B. Iyengar

Explore duality and stratification in commutative algebra with Srikanth B. Iyengar in a 1-2 hour session offered by the International Centre for Theoretical Sciences.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Online Course