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