Algebraic Geometry Courses and Certifications

IMSA

Further Invariants

Explore advanced mathematical concepts and invariants in this seminar by Ludmil Katzarkov, delving into complex algebraic and geometric structures.

• YouTube
• 27 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Dispatches from the Ends of the Stability Manifold - Lecture 4

Explore advanced concepts in algebraic geometry, including stability conditions, noncommutative minimal model programs, and multi-scale decompositions. Delve into cutting-edge research on augmented stability conditions.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

An Irregular Deligne-Simpson Problem

Explore connections on algebraic curves with prescribed singularities, focusing on G-connections with regular and irregular singularities, using rational Cherednik algebras.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Cohomological Hall Algebras of 0-Dimensional Sheaves on Surfaces

Explore cohomological Hall algebras of 0-dimensional sheaves on surfaces, their explicit description, and applications to moduli spaces of sheaves with positive-dimensional support.

• YouTube
• 1 hour 52 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Periodic Pencils of Flat Connections and Their p-Curvature

Explore periodic pencils of flat connections, their properties, examples, and p-curvature in characteristic p. Discover insights on eigenvalues and regular singularities in algebraic geometry.

• YouTube
• 1 hour 26 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 4

Explore cohomological Hall algebras of 2-Calabi-Yau categories and their applications in algebraic geometry and representation theory. Gain insights into enumerative geometry and Kac-Moody algebras.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 3

Explore cohomological Hall algebras of 2-Calabi-Yau categories and their applications in algebraic geometry and representation theory. Gain insights into enumerative geometry and Kac-Moody algebras.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 2

Explore cohomological Hall algebras in 2-Calabi-Yau categories, focusing on geometric constructions of generalized Kac-Moody algebras and their applications in algebraic geometry and representation theory.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Cohomological Hall Algebras of 2-Calabi-Yau Categories and Applications - Lecture 1

Explore cohomological Hall algebras in 2-Calabi-Yau categories, their interactions with algebraic geometry, and applications to enumerative geometry and representation theory.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Perverse Sheaves in Deformation Quantization

Explore holomorphic symplectic manifolds, deformation quantization modules, and perverse sheaves in Lagrangian intersections and BV quantization.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Universally Counting Curves in Calabi-Yau Threefolds

Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.

• YouTube
• 1 hour 11 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

The Geometry and Arithmetic of Banana Nano-Manifolds

Explore the geometry and arithmetic of banana nano-manifolds, focusing on new rigid Calabi-Yau threefolds and their Donaldson-Thomas partition functions, Gromov-Witten potentials, and modular properties.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

The K-theoretic DT/PT Vertex Correspondence

Explore K-theoretic DT/PT vertex correspondence on toric 3- and 4-folds, examining equivariant wall-crossing, symmetrized pullbacks, and applications to related conjectures.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Springer Theory for Homogeneous Affine Springer Fibers

Explore Springer theory for homogeneous affine Springer fibers, examining their role in geometric representation theory and connections to Hitchin integrable systems and quantum groups.

• YouTube
• 1 hour 38 minutes
• Self-Paced
• Free Video

M-Seminar, Kansas State University

Flops and Hilbert Scheme of Space Curve Singularities

Explore pagoda flop transitions and their application in deriving explicit results for topological invariants of Hilbert schemes of space curve singularities.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video