M-Seminar, Kansas State University Courses

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
• On-Demand
• 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
• 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

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