Donaldson-Thomas Invariants Courses and Certifications

BIMSA

Modularity of Donaldson-Thomas Invariants on Compact Calabi-Yau Threefolds

Explora la modulación de invariantes Donaldson-Thomas en variedades Calabi-Yau compactas, su relación con la física de agujeros negros y aplicaciones en la teoría de cuerdas topológicas.

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

IMSA

Cohomological Donaldson-Thomas Invariants of 3-Manifolds - Part 2

Explore Morse homology of complex Chern-Simons functional, its connections to supersymmetric gauge theories, skein modules, and Donaldson-Thomas invariants in 3-manifolds.

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

IMSA

Atiyah Class and Sheaf Counting on Local Calabi-Yau 4 Folds

Explore Donaldson-Thomas invariants of torsion sheaves in Calabi-Yau fourfolds, examining their relation to reduced DT theory and modularity predictions for elliptic K3 surfaces.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

IMSA

Homological Mirror Symmetry - DT Invariants & Holomorphic Curves

Explore the correspondence between Donaldson-Thomas invariants and holomorphic curves, with applications in enumerative geometry and insights from quantum field theories.

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

IMSA

Homological Mirror Symmetry - Quivers & Curves in Higher Dimensions

Explore the connection between quiver mutations, Poisson X-cluster varieties, and Calabi-Yau categories, leading to a correspondence between Donaldson-Thomas invariants and rational curve counts in higher dimensions.

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

IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 17

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

IMSA

Donaldson-Thomas and Gromov-Witten Invariants - Part 16

Explore moduli spaces of algebraic curves and coherent sheaves, focusing on Gromov-Witten and Donaldson-Thomas invariants in complex algebraic varieties and their relevance to superstring theory.

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

Galileo Galilei Institute

Introduction to BPS Spectra and Quantum Invariants - Lecture 2

Explore BPS spectra and quantum invariants in theoretical physics, delving into advanced mathematical concepts and their applications in modern quantum theory.

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

Galileo Galilei Institute

N=2 Gauge Theory, DT Invariants and Exact WKB - Lecture 3

Explore connections between N=2 gauge theory, Donaldson-Thomas invariants, and exact WKB analysis in this advanced theoretical physics lecture.

• YouTube
• 1 hour 40 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

N=2 Gauge Theory, DT Invariants and Exact WKB - Lecture 2

Explore connections between N=2 gauge theory, Donaldson-Thomas invariants, and exact WKB analysis in this advanced physics lecture by Lotte Hollands.

• YouTube
• 1 hour 31 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

N=2 Gauge Theory, DT Invariants and Exact WKB - Lecture 1

Explore connections between N=2 gauge theory, Donaldson-Thomas invariants, and exact WKB analysis in this advanced physics lecture by Lotte Hollands.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Quivers, Flow Trees, and Log Curves

Exploración de la relación entre invariantes Donaldson-Thomas, árboles de flujo atractor y curvas log de Gromov-Witten en variedades tóricas, basada en investigación conjunta.

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

M-Seminar, Kansas State University

From Gromov-Witten to Donaldson-Thomas Invariants via Resurgence

Exploración de la relación entre invariantes de Gromov-Witten y Donaldson-Thomas en variedades de Calabi-Yau mediante análisis de resurgencia y teoría de cuerdas topológicas.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Geometry from Donaldson-Thomas Invariants

Exploración de la geometría derivada de los invariantes de Donaldson-Thomas en categorías trianguladas de Calabi-Yau 3, enfocándose en la estructura hiperkähler y casos específicos.

• YouTube
• 1 hour 25 minutes
• On-Demand
• Free Video

M-Seminar, Kansas State University

Categorification of Donaldson-Thomas Invariants

Estratégia para categorificar invariantes de Donaldson-Thomas usando folheações derivadas e categorias de fatorizações matriciais, recuperando a construção de BBDJS.

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