Birational Invariants Courses and Certifications

IMSA

The Theory of Atoms and Birational Invariants

Explore new birational invariants and their relationships in mathematical theory, with practical examples and connections to broader mathematical concepts.

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

Stony Brook Mathematics

New Birational Invariants

Discover new birational invariants through Mirror Symmetry's A and B sides, exploring mathematical connections with detailed examples from advanced algebraic geometry research.

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

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 2 hours 23 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Birational Invariants from Gromov-Witten Theory - Lecture 2

Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of algebraic varieties.

• YouTube
• 2 hours 14 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Birational Invariants from Gromov-Witten Theory - Lecture 1

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.

• YouTube
• 2 hours 6 minutes
• On-Demand
• Free Video

IMSA

Bernardo Uribe, UniNorte - Bordism and Birational Invariants of Finite Groups

Explore birational invariants of finite groups and their connection to bordism invariants of equivariant manifolds, focusing on Bogomolov's results in this advanced mathematical topic.

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

IMSA

Old and New Birational Invariants

Explore new birational invariants combining Hodge theory and Symplectic Geometry in this advanced mathematics lecture by Ludmil Katzarkov.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

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.

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

Institut des Hautes Etudes Scientifiques (IHES)

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.

• YouTube
• 2 hours 17 minutes
• On-Demand
• Free Video

IMSA

Atoms, Electrons and Birational Invariants in Hodge Structures

Explore new A,B Hodge structures and their non-rationality applications in algebraic geometry, bridging concepts from physics to advanced mathematical theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

IMSA

Atoms Meet Symbols - Z-Values G-Birational Invariants in Dimensions 2 and 3

Delve into Z-values G-birational invariants in dimensions 2 and 3, exploring modular symbol construction and the theory of atoms in G-equivariant settings, with applications to 4-dimensional conjectures.

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

IMSA

Yuri Tschinkel, Courant Institute - New Invariants in Equivariant Birational Geometry

Explore new obstructions to equivariant birationality in higher-dimensional algebraic varieties, introduced by Tschinkel and Kresch, advancing the field of equivariant birational geometry.

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

Institut des Hautes Etudes Scientifiques (IHES)

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.

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

IMSA

Multispectra

Explore new birational invariants in algebraic geometry with Professor Ludmil Katzarkov, delving into advanced mathematical concepts and their applications.

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

IMSA

Decomposition of the Diagonal and Specialization - Lecture I

Explore the decomposition of the diagonal and specialization method for studying stable irrationality in algebraic geometry, focusing on smooth projective varieties.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video