Wall-Crossing Courses and Certifications

Hausdorff Center for Mathematics

Felix Klein Lectures 2020: Quiver Moduli and Applications

Explore quiver moduli spaces' topology, geometry, and cohomology. Discover applications in Gromov-Witten and Donaldson-Thomas theory through wall-crossing techniques in advanced algebraic geometry.

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

Hausdorff Center for Mathematics

Quiver Moduli and Applications

Explore quiver moduli spaces: construction, topology, geometry, and applications in Donaldson-Thomas and Gromov-Witten theory. Delve into cohomology and wall-crossing phenomena in algebraic geometry.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Felix Klein Lectures 2020- Quiver Moduli and Applications

Explore quiver moduli spaces: their construction, topology, and applications in representation theory, Gromov-Witten theory, and Donaldson-Thomas theory. Gain insights into these algebraic varieties and their geometric properties.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

International Mathematical Union

Wall-Crossing in Algebraic Geometry

Explore applications of Bridgeland stability conditions and wall-crossing techniques in algebraic geometry, advancing understanding of complex mathematical structures.

• YouTube
• 46 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry and Higgs-Coulomb Correspondence in Abelian GLSMs

Explore Higgs-Coulomb correspondence in abelian GLSMs, examining virtual counts of Landau-Ginzburg quasimaps and Mellin-Barnes integrals. Learn about wall-crossing and stability conditions in GLSM invariants.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Fields Institute

Wall Crossing for Moduli of Stable Pairs

Explore wall crossing phenomena in moduli spaces of stable pairs, examining their geometric and algebraic properties and implications for birational geometry.

• YouTube
• 58 minutes
• On-Demand
• Free Video

IMSA

Wall-Crossing for Elliptic Central Charges

Explore generating series of K-theoretic enumerative invariants and their relation to stability conditions in GIT quotients, focusing on elliptic central charges and wall-crossing phenomena.

• YouTube
• 32 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Weighted Blowups, Wall-Crossing and Weak Factorization

Explore stack-theoretic weighted blowups and their applications in resolution of singularities, destackification, wall-crossings, and weak factorization for more natural and efficient algorithms.

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

M-Seminar, Kansas State University

The K-theoretic DT/PT Vertex Correspondence

Exploración de la correspondencia de vértices DT/PT K-teórica en variedades tóricas 3D y 4D, utilizando técnicas de cruce de muros equivariantes y teorías de obstrucción casi perfectas.

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

M-Seminar, Kansas State University

Virasoro Constraints in Sheaf Theory

Exploración de las restricciones de Virasoro en teoría de haces, enfocándose en desarrollos recientes y su aplicación a espacios de módulos de haces en curvas y superficies.

• YouTube
• 1 hour 36 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Wall-Crossing for Calabi-Yau Fourfolds and Applications

Exploración de fórmulas de cruce de muros para variedades Calabi-Yau de dimensión 4, su demostración y aplicaciones a conjeturas sobre pares estables que cuentan puntos, curvas y superficies.

• YouTube
• 1 hour 50 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Modularity of Donaldson-Thomas Invariants on Calabi-Yau Threefolds

Explore Donaldson-Thomas invariants, their connection to black hole micro-states, and modular behavior in string theory. Learn about computational methods and implications for Gopakumar-Vafa invariants and topological string amplitudes.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Wall-crossing and Resurgence in Supersymmetric QFT

Explore wall-crossing and resurgence in supersymmetric quantum field theory, examining their applications and implications in physics through an in-depth lecture.

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

Banach Center

Quiver Structures of Knot Invariants, Open Strings, and Recursion

Explora la relación entre series generadoras de polinomios HOMFLY-PT y funciones de partición de invariantes de Donaldson-Thomas, interpretada mediante teoría de cuerdas y fenómenos de cruce de paredes.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

BIMSA

Skein Valued Counts of Open Curves in Calabi-Yau Threefolds

Conteo de curvas holomorfas abiertas en variedades de Calabi-Yau mediante valores de contorno en el módulo skein HOMFLYPT, eliminando el cruce de paredes y logrando recuentos invariantes por deformación.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video