Birational Geometry Courses and Certifications

IMSA

A Look at Fourier-Mukai Transforms and GIT in the Smooth and Singular Settings

Explore recent advancements in derived equivalences and birational geometry, focusing on Fourier-Mukai functors and geometric invariant theory quotients in both smooth and singular settings.

• YouTube
• 1 hour 6 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

IMSA

Linearisation Problem for the Plane Cremona Group

Delve into the classification of linearisable subgroups in the Cremona group, exploring finite subgroups of birational automorphisms and their relationship to projective space geometry.

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

Institute for Advanced Study

Baily-Borel Compactifications of Period Images and the b-semiampleness Conjecture

Explore canonical projective compactifications of period map images and their connection to the b-semiampleness conjecture in algebraic geometry.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

IMSA

Complex Surfaces with P_g=Q=0 via Birational Geometry, Derived Category and Gauge Theory

Exploration of complex surfaces with p_g=q=0, examining their significance and recent developments through birational geometry, derived category, and gauge theory perspectives.

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

IMSA

Theory of Atoms, Singularity Theory and Applications to Birational Geometry - Parts I and II

Delve into advanced mathematical concepts exploring atoms theory, singularity theory, and their applications in birational geometry, featuring new rationality obstructions and Mendeleev tables.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

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.

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

Centre International de Rencontres Mathématiques

Birational Geometry of Moduli Spaces of Curves - Lecture 3

Delve into advanced concepts of birational geometry, exploring Grothendieck-Knudsen moduli spaces, effective divisor cones, and their connection to elliptic curves and toric surfaces in algebraic geometry.

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

IMSA

Equivariant Birational Geometry of 3-Dimensional Projective Space

1 review

Explore G-equivariant birational geometry of 3D projective space, focusing on finite group actions and their impact on fibrations into rational curves or surfaces.

• YouTube
• 1 hour 2 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

IMSA

Equivariant Birational Geometry

Explore equivariant birational geometry with expert Yuri Tschinkel in this insightful conference talk, covering advanced mathematical concepts and recent developments in the field.

• YouTube
• 53 minutes
• On-Demand
• Conference Talk

IMSA

Discriminants and Toric Birational Geometry

Explore Gorenstein toric singularities, B-side categories in toric homological mirror symmetry, and GKZ hypergeometric D-modules. Discover the conjectural construction of associated spherical functors.

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

IMSA

Equivariant Birational Geometry of Three-Dimensional Projective Space

Explore finite group actions on 3D projective space, focusing on G-solid cases and their G-Mori fiber spaces. Gain insights into advanced algebraic geometry concepts.

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

IMSA

A Web of Spherical Functors in Toric Birational Geometry

Explore spherical functors in toric birational geometry, expanding on Aspinwall, Plesser and Wang's conjecture. Discover numerical and mirror symmetric evidence in this joint work with Ludmil Katzarkov.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

IMSA

Equivariant Birational Geometry

Explore new results and constructions in equivariant birational geometry, delving into advanced mathematical concepts and their applications in this specialized field.

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