Birational Invariants for Sing Fano Over Algebraically Non-Closed Fields
Explore birational invariants of singular Fano varieties over non-algebraically closed fields, delving into advanced algebraic geometry concepts and their applications.
Equivariant Geometry of Cubics - Applications to Cubic Threefolds and Fourfolds
Explore applications of new invariants in equivariant birational geometry to cubic threefolds and fourfolds, advancing understanding in algebraic geometry and related fields.
Birational and Singularity Invariants from Non-Commutative Hodge Theory
Explore new additive invariants of smooth projective varieties called Hodge atoms, their applications to birational equivalence, and novel singularity invariants in algebraic geometry.
On the Direct Summand Conjecture and Beyond
Explore the direct summand conjecture's history, proof, and impact on commutative algebra and mixed characteristic birational geometry.
Geometry and Integers - Connections Between Number Theory and Geometric Structures
Explore connections between non-negative integer sets and diverse geometries, examining functions associated with primitive integer vectors and their relation to convex, toric, and birational geometries.
Rationality Problems in Algebraic Geometry - ICBS 2024
Explore geometric ideas and constructions in the study of rationality of higher-dimensional algebraic varieties, focusing on recent developments and challenges.
Derived Approach to Highest Weight Categories
Explore highest weight categories in Representation Theory, examining their interpretation through exact categories, abelian envelops, and exceptional collections in derived categories.
Surfaces with Wahl Singularities and Their Applications - Lecture 1
Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this comprehensive lecture from the V Latin American School of Algebraic Geometry.
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.
Surfaces with Wahl Singularities and Their Applications - Lecture 4
Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this advanced mathematics lecture from the V Latin American School of Algebraic Geometry.
Surfaces with Wahl Singularities and Their Applications - Lecture 3
Explore surfaces with Wahl singularities and their applications in algebraic geometry. Gain insights from expert Giancarlo Urzúa in this advanced mathematics lecture from the V Latin American School of Algebraic Geometry.
Foliation Theory and Algebraic Geometry - Moduli Problems and Birational Geometry
Explore cutting-edge research on holomorphic foliations and algebraic geometry. Gain insights from experts on moduli problems, birational geometry, and their interactions in complex mathematics.
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.
Fano Manifolds and the Lefschetz Defect - Class 4
Explore Fano manifolds and Lefschetz defect in this advanced algebraic geometry lecture. Gain insights into complex mathematical concepts and their applications in modern research.
Homological Mirror Symmetry - Progress in Quantum Toric Geometry
Explore recent developments in quantum toric geometry, moduli spaces of toric varieties, and their conjectural links to birational geometry, drawing from cutting-edge research in the field.