M-Seminar, Kansas State University Courses

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
• Self-Paced
• Free Video

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
• Self-Paced
• Free Video

Infinite-Dimensional Spin Chains from Gauge Theory

Explore infinite-dimensional spin chains in gauge theory, connecting quantum mechanics, particle physics, and mathematics through innovative approaches to Bethe ansatz and Langlands programs.

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

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

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

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