M-Seminar, Kansas State University Courses

Maulik-Okounkov Lie Algebras and BPS Lie Algebras

Explore the connection between Maulik-Okounkov and BPS Lie algebras, examining their roles in quiver varieties and cohomological DT theory. Gain insights into non-abelian stable envelopes and Okounkov's conjecture.

• YouTube
• 1 hour 29 minutes
• Self-Paced
• Free Video

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

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

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

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

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

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

Skeins, Clusters and Wavefunctions in Open Gromov-Witten Theory

Explore open Gromov-Witten theory and skein-theoretic cluster theory in computing wavefunctions for Lagrangian branes, as presented by Gus Schrader from Northwestern University.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

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

The KSBA Moduli Space of Stable Log Calabi-Yau Surfaces

Explore the KSBA moduli space of stable log Calabi-Yau surfaces, delving into its properties, connections to toric varieties, and recent developments in algebraic geometry and mirror symmetry.

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

Moduli Spaces of Instantons and Integrable Systems - From Calogero-Moser to DELL Systems

Explore the intricate relationship between equivariant cohomology theories of instanton moduli spaces and integrable systems, focusing on Calogero-Moser, Ruijsennars-Schneider, and DELL systems.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

Symplectic Orbifold Gromov-Witten Invariants

Dive into symplectic orbifold Gromov-Witten invariants, exploring recent developments in moduli spaces and global Kuranishi charts for pseudo-holomorphic curves in symplectic orbifolds.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians

Explore cohomological Hall algebras of cyclic quivers and their connection to affine Yangians, using tools from Donaldson-Thomas theory and moduli spaces.

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

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

Counting Holomorphic Disks with Boundary on the Chiang Lagrangian

Explore open Gromov-Witten invariants and holomorphic disks on the Chiang Lagrangian, examining periodic behaviors and arithmetic structures in open WDVV equations.

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