Hodge Theory Courses and Certifications

IMSA

Hodge Theory of Abelian Covers of Algebraic Varieties

Explore Hodge Theory of Abelian Covers in algebraic varieties, covering Alexander modules, multivariables, and transformations. Gain insights into advanced mathematical concepts and their applications.

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

Instituto de Matemática Pura e Aplicada

Mumford–Tate Groups in Hodge Theory - Aula 01

Explore Mumford-Tate groups and their fundamental role in Hodge theory through advanced mathematical concepts and applications in algebraic geometry.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Mumford–Tate Groups in Hodge Theory - Aula 06

Explore advanced algebraic geometry through Mumford-Tate groups and their applications in Hodge theory with expert mathematical insights and rigorous theoretical foundations.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Mumford–Tate Groups in Hodge Theory - Aula 02

Explore Mumford-Tate groups and their fundamental role in Hodge theory through advanced mathematical concepts and applications in this specialized lecture from IMPA's Summer School.

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

Instituto de Matemática Pura e Aplicada

Mumford–Tate Groups in Hodge Theory - Aula 03

Explore Mumford-Tate groups and their fundamental role in Hodge theory through advanced mathematical concepts and applications in this specialized lecture series.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Mumford–Tate Groups in Hodge Theory - Aula 04

Explore advanced algebraic geometry through Mumford-Tate groups and their applications in Hodge theory with expert mathematical analysis and theoretical foundations.

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

Instituto de Matemática Pura e Aplicada

Mumford–Tate Groups in Hodge Theory - Aula 05

Explore advanced algebraic geometry through Mumford-Tate groups and their applications in Hodge theory with expert mathematical insights.

• YouTube
• 2 hours
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

On the Non-Abelian Hodge Locus - GADEPs Conference III

Explore advanced mathematical concepts in Noether-Lefschetz and Hodge loci through expert lectures and discussions at this specialized conference on geometry, arithmetic, and differential equations of periods.

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

Institut des Hautes Etudes Scientifiques (IHES)

Lefschetz, Hodge and Combinatorics - An Account of a Fruitful Cross-Pollination

Explore the profound connections between Lefschetz theory, Hodge theory, and combinatorics through advanced mathematical insights and cross-disciplinary applications.

• YouTube
• 10 hours 41 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Noether-Lefschetz and Hodge Loci - 2023

Explore advanced algebraic geometry through expert lectures on Noether-Lefschetz and Hodge loci, featuring mini-courses and research talks from leading mathematicians worldwide.

• YouTube
• 13 hours 41 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Periods and Regulators Workshop

Explore advanced mathematical concepts in periods and regulators through expert talks covering motivic theory, multiple zeta values, and algebraic cycles.

• YouTube
• 21 hours 31 minutes
• On-Demand
• Free Video

IMSA

Kato-Usui Type Extension of General Period Map

Explore Kato-Usui theory for extending non-classical period maps, its applications, and potential future directions in algebraic geometry and Hodge theory.

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

IMSA

Mixed Hodge Structures on Cohomology Jump Ideals

Explore mixed Hodge structures on cohomology jump ideals in representation varieties, extending Goldman and Millson's work to non-compact Kähler manifolds and variations of mixed Hodge structures.

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

IMSA

Extension Data of Global Families of Mixed Hodge Structures - Applications to Shafarevich Conjecture

Extension data analysis in mixed Hodge structures: capturing global family invariants and proving Shafarevich's Conjecture in the nilpotent case through monodromy and level 1-2 extensions.

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

IMSA

Algebraicity of the Hodge Locus in Polarized Variations of Hodge Structure

Explore algebraicity of Hodge locus in polarized variations of Hodge structure, discussing Weil's observation, Cattani-Deligne-Kaplan's proof, and recent developments in this field of algebraic geometry.

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