Fano Varieties Courses and Certifications

IMSA

K-Stability of Fano Varieties

Explores K-stability of Fano varieties, connecting complex geometry and algebraic geometry. Discusses recent developments, including solved conjectures and the construction of a moduli space for Fano varieties.

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

IMSA

Mixed Hodge Structures Attached to Hybrid Landau–Ginzburg Models

Explores mixed Hodge structures in Landau-Ginzburg models, focusing on functorial behavior and a new spectral sequence relating decomposed functions, with applications in mirror symmetry.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

IMSA

Blow Up Formulae and Invariants II - Dimension Theory

Explore numerical invariants in meromorphic connections, their relation to singularity theory, and applications to non-rationality criteria for Fano varieties.

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

IMSA

Hodge-Theoretic Aspects of Mirror Symmetry

Explores mirror symmetry for Fano varieties through Hodge theory, discussing Hodge diamond rotation, Katzarkov--Kontsevich--Pantev conjectures, and the mirror P=W conjecture in relation to mixed Hodge structures.

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

IMSA

Finite Generation and K-Stability

Explore recent advances in birational geometry and their impact on K-stability, including finite generation of valuations and connections to major conjectures in algebraic geometry.

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

Fields Institute

Symmetries of Fano Varieties

Explore symmetries of Fano varieties, delving into their geometric properties and mathematical significance in algebraic geometry.

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

Fields Institute

On the Mukai Conjecture and the Kostant Game

Explore the Mukai conjecture and Kostant game in algebraic geometry, delving into their connections and implications for Hamiltonian geometry.

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

M-Seminar, Kansas State University

Singularities of the Quantum Connection on a Fano Variety

Explore singularities of quantum connections on Fano varieties, focusing on Dubrovin/Gamma conjectures and unramified exponential type properties through noncommutative Landau-Ginzburg models.

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

Instituto de Matemática Pura e Aplicada

Cox Rings of Algebraic Surfaces

Explore Cox rings of algebraic surfaces in this panoramic talk by Michela Artebani, part of the V Latin American School of Algebraic Geometry. Gain insights into advanced algebraic geometry concepts.

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

Instituto de Matemática Pura e Aplicada

B-divisors and Applications to Dynamics - Class 2

Explore B-divisors and their applications to dynamics in algebraic geometry. Gain insights from expert Charles Favre in this advanced mini-course from the V Latin American School of Algebraic Geometry.

• YouTube
• 1 hour 29 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 4

Explore higher dimensional Fano varieties in algebraic geometry. Delve into advanced concepts and recent developments in this field with expert insights from UCLA researcher Joaquín Moraga.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 1

Explore higher dimensional Fano varieties in this advanced algebraic geometry lecture. Delve into complex mathematical concepts and theories presented by expert Joaquín Moraga from UCLA.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video