M-Seminar, Kansas State University Courses

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

BPS Cohomology and Quasi-BPS Categories - Lecture 4 of 4

Explore advanced BPS cohomology and quasi-BPS categories for symmetric stacks, focusing on quivers with potential and Higgs bundles on curves in algebraic geometry.

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

BPS Cohomology and Quasi-BPS Categories - Lecture 3 of 4

Explore advanced algebraic geometry through BPS cohomology and quasi-BPS categories, focusing on symmetric stacks, quivers with potential, and Higgs bundles on curves.

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

BPS Cohomology and Quasi-BPS Categories - Lecture 2 of 4

Explore BPS cohomology and quasi-BPS categories for symmetric stacks, focusing on quivers with potential and Higgs bundles, including Hall products and semiorthogonal decompositions.

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

Geometry and Resurgence of WKB Solutions of Schrödinger Equations - Part 2

Delve into advanced mathematical concepts of WKB methods, quantum resurgence, and Stokes phenomenon in Schrödinger equations on compact Riemann surfaces through geometric perspectives.

• YouTube
• 1 hour 21 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

Open Mirror Symmetry for Landau-Ginzburg Models

Delve into mirror symmetry fundamentals, exploring Saito-Givental's theory and its mirror dual through FJRW theory, with applications to Landau-Ginzburg models.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

Cohomological Hall Algebras, Their Representations, and Nakajima Operators

Delve into advanced algebraic geometry concepts, exploring cohomological Hall algebras, geometric representations, and Nakajima operators through the lens of zero-dimensional sheaves on smooth surfaces.

• YouTube
• 1 hour 26 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

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