M-Seminar, Kansas State University Courses

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
• On-Demand
• 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
• On-Demand
• Free Video

Superabundance and Unobstructedness in Lagrangian Torus Fibrations - Lecture

Explore Lagrangian realizations of tropical curves in torus fibrations, focusing on non-superabundance and unobstructedness in 3D settings.

• YouTube
• 1 hour 14 minutes
• On-Demand
• 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
• On-Demand
• Free Video

Categorical and Geometric Enumerative Invariants

Explore categorical enumerative invariants for Calabi-Yau categories and their chain-level CohFT structures, connecting Fukaya categories with symplectic manifold geometry.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Hyperbolic Localization in Donaldson-Thomas Theory - Part 3 of 3

Explore hyperbolic localization in Donaldson-Thomas theory, covering vanishing cycles, shifted symplectic geometry, and wall-crossing formulas for Calabi-Yau threefolds.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Hyperbolic Localization in Donaldson-Thomas Theory - Part 2 of 3

Explore hyperbolic localization in Donaldson-Thomas theory, focusing on perverse sheaves and critical loci of functions on Calabi-Yau threefold moduli spaces.

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

Hyperbolic Localization in Donaldson-Thomas Theory - Part 1 of 3

Explore hyperbolic localization functors in Donaldson-Thomas theory, connecting Białynicki-Birula decompositions with vanishing cycles on Calabi-Yau threefold moduli spaces.

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

From Quantum Loop Group to Coherent Satake Category via Fusion Product

Explore the connection between perverse coherent sheaves and quantum affine groups, examining how Feigin-Loktev fusion products bridge these mathematical structures to address the Cautis-Williams conjecture for simply-laced types.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Geometry and Resurgence of WKB Solutions of Schrödinger Equations - Part 1

Delve into the geometric interpretation of WKB methods for Schrödinger equations, exploring quantum resurgence properties and their relationship to spectral curves and Stokes phenomena.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Remodeling Conjecture with Descendants

Explore advanced mathematical connections between Gromov-Witten invariants and Topological Recursion in toric Calabi-Yau manifolds through mirror symmetry theory.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Abelian Hall Categories - Part 3 of 3

Explore advanced categorical structures that categorify K-theoretic Hall algebras through finite length abelian categories, focusing on canonical bases and quantum toroidal algebras.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Abelian Hall Categories - Part 2 of 3

Explore how quivers generate finite length abelian categories that categorify K-theoretic Hall algebras, with simples forming canonical bases for quantum toroidal algebras.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Abelian Hall Categories - Part 1 of 3

Explore how quivers generate finite length abelian categories that categorify K-theoretic Hall algebras, with simples forming dual canonical bases for quantum toroidal algebras.

• YouTube
• 1 hour 27 minutes
• On-Demand
• Free Video

Motivic Classes of Varieties and Stacks with Applications to Higgs Bundles and More

Explore motivic classes of varieties and stacks, from point counting over finite fields to explicit formulas for moduli of Higgs bundles and connections.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video