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#Fano Varieties

Showing: 12 courses
IMSA

K-Stability of Fano Varieties

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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.
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10 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Finite Generation and K-Stability

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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.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Blow Up Formulae and Invariants II - Dimension Theory

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Explore numerical invariants in meromorphic connections, their relation to singularity theory, and applications to non-rationality criteria for Fano varieties.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

Hodge-Theoretic Aspects of Mirror Symmetry

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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.
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1 Lesons
55 minutes
On-Demand
Free-Video
IMSA

Mixed Hodge Structures Attached to Hybrid Landau–Ginzburg Models

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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.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Fields Institute

Symmetries of Fano Varieties

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Explore symmetries of Fano varieties, delving into their geometric properties and mathematical significance in algebraic geometry.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

On the Mukai Conjecture and the Kostant Game

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Explore the Mukai conjecture and Kostant game in algebraic geometry, delving into their connections and implications for Hamiltonian geometry.
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1 Lesons
42 minutes
On-Demand
Free-Video
M-Seminar, Kansas State University

Singularities of the Quantum Connection on a Fano Variety

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Explore singularities of quantum connections on Fano varieties, focusing on Dubrovin/Gamma conjectures and unramified exponential type properties through noncommutative Landau-Ginzburg models.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 4

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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.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Higher Dimensional Fano Varieties - Lecture 1

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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.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Cox Rings of Algebraic Surfaces

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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.
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1 Lesons
47 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

B-divisors and Applications to Dynamics - Class 2

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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.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video