Non-free Curves and Geometric Manin's Conjecture - Lecture
Explore non-free curves on varieties, their classification, and implications for Geometric Manin's Conjecture in Fano fibrations. Gain insights into algebraic geometry and number theory.
Non-Archimedean Pluripotential Theory and K-stability - Lecture 3
Explore non-Archimedean pluripotential theory and K-stability in this advanced mathematics lecture, part of a series connecting complex and non-Archimedean geometry.
Formalization of Infinity Category Theory
Explore ∞-category theory's formalization, unifying mathematics, computer science, and physics. Learn synthetic reasoning and the Yoneda Lemma in this advanced mathematical seminar.
Barry Mazur and the Infinite Cheese of Knowledge - A Mathematical Documentary
Explore the life and insights of influential mathematician Barry Mazur in this intimate documentary, capturing his wit, profound approach to mathematics, and enduring impact on the field.
Quantum Periods for Complements
Explore quantum periods for complements, focusing on polynomial-defined spectral curves and quantization of polynomial algebras. Gain insights into cohomological descriptions of WKB series.
Prime, Knots and the Adele Class Space
Explore geometric connections between primes and knots through scaling site theory, adele class space, and finite abelian extensions of Q, revealing insights into number theory and topology.
Topological Recursion: A Recursive Way of Counting Surfaces
Explore topological recursion for enumerating surfaces in combinatorics, geometry, and physics. Learn how this universal method links to integrable systems and random matrices.
Analytic Stacks - Lecture 12
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.
Analytic Stacks - New Foundations for Analytic Geometry - Lecture 11/24
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Birational Invariants from Gromov-Witten Theory - Lecture 4
Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of geometric objects like cubic 4-folds.
Solving Equations from Combinatorics via Computer Algebra
Explore advanced techniques for solving discrete differential equations in combinatorics using computer algebra, focusing on efficient methods for n=2 cases and recent developments in systems of equations.
Analytic Stacks - New Foundations for Analytic Geometry
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.
Graph Complex Action on Poisson Structures: From Theory to Computation
Explore graph complex action on Poisson structures, from theoretical foundations to computational applications using SageMath's gcaops package for advanced mathematical research.
Analytic Stacks - New Foundations for Analytic Geometry
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Birational Invariants from Gromov-Witten Theory - Lecture 3
Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of geometric objects like cubic 4-folds.
Analytic Stacks - Foundations for Analytic Geometry
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with Peter Scholze.
Periods of Hypersurfaces via Effective Homology
Explore numerical approximations of periods for hypersurfaces using effective homology, enabling computation of algebraic invariants for complex projective varieties.
The Nullstellensatz and Positivstellensatz for Sparse Tropical Polynomial Systems
Explorez les avancées en algèbre tropicale, notamment le Nullstellensatz et le Positivstellensatz pour les systèmes polynomiaux tropicaux clairsemés, avec des applications aux jeux à paiement moyen paramétrique.
Integrality of the Betti Moduli Space
Explore the integrality of Betti moduli spaces for smooth projective varieties, examining representations of fundamental groups and their implications for algebraic geometry.
Weight Filtration on Log Crystalline Site
Explore advanced mathematical concepts in log crystalline site and weight filtration, focusing on p-adic Steenbrink complex construction for simple normal crossing log varieties.
Vanishing Theorems in Positive Characteristic
Explore vanishing theorems in positive characteristics, focusing on Kodaira and Kawamata-Viehweg theorems. Examine their applications, limitations, and recent developments in log Fano varieties and del Pezzo surfaces.