M-Seminar, Kansas State University Courses

Frobenius Structures for Quantum Differential and Q-Difference Equations - Lecture 2

Explore Frobenius structures connecting Kloosterman sums to quantum differential equations in Nakajima varieties, with applications to mirror symmetry and p-adic theory.

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

Frobenius Structures for Quantum Differential and Q-Difference Equations - Lecture 1

Explore Frobenius structures connecting Kloosterman sums to quantum differential equations in Nakajima varieties, with applications to mirror symmetry and p-adic theory.

• YouTube
• 1 hour 13 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

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