Wall-Crossing Courses and Certifications

International Centre for Theoretical Sciences

Wall-Crossing, GGP, and Artin Formalism

Explore advanced connections between wall-crossing phenomena, Gan-Gross-Prasad conjectures, and Artin formalism in modern number theory and automorphic forms research.

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

Instituto de Matemática Pura e Aplicada

Higher Rank DT/PT Wall-Crossing in Bridgeland Stability

Explore higher rank DT/PT wall-crossing in Bridgeland stability conditions on smooth projective threefolds, proving separation between Gieseker and PT moduli spaces.

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

BIMSA

Quasimap Wall-Crossing - Generalizations and Applications

Explore quasimap wall-crossing phenomena and their mathematical generalizations with practical applications in algebraic geometry and enumerative geometry.

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

BIMSA

Quasimap Wall-Crossing - Generalizations and Applications

Explore advanced mathematical concepts in quasimap wall-crossing theory, examining generalizations and their applications in algebraic geometry and related fields.

• YouTube
• 1 hour
• 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

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

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

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

M-Seminar, Kansas State University

Wall-Crossing for Calabi-Yau Fourfolds and Applications

Explore wall-crossing formulae for Calabi-Yau fourfolds, their proof, and applications to stable pairs counting points, curves, and surfaces, building on Joyce's framework.

• YouTube
• 1 hour 50 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, uncovering their physical applications and implications in advanced theoretical physics.

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

Institut des Hautes Etudes Scientifiques (IHES)

Wall-Crossing Structures, Analyticity, and Resurgence

Explore advanced mathematical concepts connecting wall-crossing structures, resurgence theory, and quantum field theory through expert lectures from leading researchers.

• YouTube
• 22 hours 47 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Resurgence via Wall-crossing Structures - Lecture 1

Explore an alternative approach to Borel-Écalle resummation using analytic wall-crossing structures. Delve into holomorphic bundles, gauge transformations, and geometric interpretations with practical examples.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Resurgence via Wall-crossing Structures - Lecture 4

Explore alternative approach to Borel-Écalle resummation using analytic wall-crossing structures. Delve into holomorphic bundles, gauge transformations, and geometric interpretations with practical examples.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Resurgence via Wall-crossing Structures - Lecture 3

Explore an alternative approach to Borel-Écalle resummation using analytic wall-crossing structures. Delve into holomorphic bundles, gauge transformations, and geometric interpretations with practical examples.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Resurgence via Wall-crossing Structures - Lecture 2

Explore an alternative approach to Borel-Écalle resummation using analytic wall-crossing structures. Delve into holomorphic bundles, gauge transformations, and geometric interpretations with practical examples.

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