Derived Categories Courses and Certifications

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

IMSA

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

Explore derived categories and motives of moduli spaces of vector bundles on curves, their relationships, and recent developments in algebraic geometry.

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

Institute for Advanced Study

Derived Categories of Permutahedral Varieties Through Matroids

Explore derived categories of permutahedral varieties using matroid theory, uncovering connections between algebraic geometry and combinatorics.

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

BunG Seminar

Derived Categories of Sheaves on Schemes and Prestacks - Talk 14

Delve into advanced sheaf theory concepts, exploring six-functor formalism, derived categories, and D-modules through an in-depth examination of prestacks and scheme applications.

• YouTube
• 1 hour 41 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Brauer Groups, Twisted Derived Categories, and Hodge Theory

Explore recent developments in Brauer group theory, examining the period-index problem through derived categories, Hodge theory, and enumerative geometry methods.

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

International Mathematical Union

A Classical View on Derived Algebraic Geometry

Explore derived algebraic geometry from a classical perspective, gaining insights into this advanced mathematical field and its applications.

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

Hausdorff Center for Mathematics

João Lourenço- Towards Bezrukavnikov via P-adic Central Sheaves

Explore advancements in algebraic geometry, focusing on Bezrukavnikov's equivalence and p-adic central sheaves in the Witt vector affine flag variety, building on Kazhdan-Lusztig's work.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Generation in Characteristic P

Explore techniques for constructing generators in derived categories in nonzero characteristic, including joint research findings on this advanced mathematical topic.

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

IMSA

Windows and the BGMN Conjecture

Explore the BGMN Conjecture in algebraic geometry using moduli spaces, derived categories, and GIT wall crossing. Uncover insights into vector bundles and symmetric powers of curves.

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

M-Seminar, Kansas State University

Dispatches from the Ends of the Stability Manifold - Lecture 3

Explore advanced concepts in algebraic geometry, including stability conditions, multi-scale decompositions, and the noncommutative minimal model program. Gain insights into cutting-edge research.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Dispatches from the Ends of the Stability Manifold - Lecture 2

Explore noncommutative minimal model program, multi-scale decompositions, and augmented stability conditions in triangulated categories. Delve into cutting-edge research in algebraic geometry and homological algebra.

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

M-Seminar, Kansas State University

Dispatches from the Ends of the Stability Manifold - Lecture 1

Explore Bridgeland stability conditions and their role in homological structures. Delve into noncommutative minimal model programs and their applications in algebraic geometry.

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

IMSA

Dispatches from the Ends of the Stability Manifold - Part I

Explore noncommutative minimal model program, stability manifolds, and multi-scale decompositions in triangulated categories. Discover connections to moduli spaces and implications for semistable object classification.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

BIMSA

Derived Approach to Highest Weight Categories

Explore highest weight categories in Representation Theory, examining their interpretation through exact categories, abelian envelops, and exceptional collections in derived categories.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

BIMSA

Structure of Equivariant Derived Categories - ICBS 2024

Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.

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