M-Seminar, Kansas State University Courses

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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• 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

The Exponential Type Conjecture for Quantum Connections

Delve into quantum connections and formal singularity types, exploring the exponential type conjecture proof for closed monotone symplectic manifolds through mod p arguments and Katz's theorem.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video

Skein Valued Open Gromov-Witten Invariants and Cluster Mutations

Explore skein-valued open Gromov-Witten invariants and cluster theory for Lagrangians in C^3, including wavefunctions, computations, and a skein-valued dilogarithm with pentagon relation.

• YouTube
• 1 hour 21 minutes
• Self-Paced
• Free Video

Koszul Duality on Quantizations of Bionic Symplectic Varieties

Explore Koszul duality in quantizations of bionic symplectic varieties, focusing on localization theorems, DQ-modules, and geometric category O. Gain insights into recent advancements in filtered Koszul duality.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Arclike Lagrangians in Liouville Sectors

Explore arclike Lagrangians in Liouville sectors, examining their behavior across subsector boundaries and potential for explicit local-to-global analysis in wrapped Fukaya categories.

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

From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence

Explore the connection between Gromov-Witten and Donaldson-Thomas invariants through resurgence analysis in topological string theory for Calabi-Yau threefolds.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

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

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
• Self-Paced
• Free Video