Instituto de Matemática Pura e Aplicada Courses

Tropical Semirings and Curve Singularities

Delve into tropical semirings and curve singularities with Ethan Cotterill from UNICAMP, exploring the intersection of combinatorial methods with algebraic geometry and number theory.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Combinatorial Synergies in Geometry and Number Theory - Mini-course - 01

Dive into the first session of Kris Shaw's mini-course exploring Combinatorial Geometry and Hodge Theory, part of a workshop connecting combinatorial methods with algebraic geometry and number theory.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

On the Classification of (Universal) Compactified Jacobians

Delve into the classification of (universal) compactified Jacobians with Filippo Viviani in this mathematical lecture exploring combinatorial approaches to geometry and number theory.

• YouTube
• 46 minutes
• Self-Paced
• Free Video

Polyhedral Tiltings Arising from Linked Nets

Explore the mathematical concept of polyhedral tiltings arising from linked nets in this presentation by Felipe de León Saenz Angel from IMPA's workshop on combinatorial methods in geometry and number theory.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

Positive del Pezzo Geometry

Explore the intersection of combinatorial methods with algebraic geometry and number theory through Marta Panizzut's lecture on positive del Pezzo geometry, part of a workshop bringing together mathematicians to enhance combinatorial approaches to geomet…

• YouTube
• 49 minutes
• Self-Paced
• Free Video

Berkovich Spaces, Tropical Geometry and Number Theory - Lecture 1

Delve into Berkovich Spaces, Tropical Geometry, and Number Theory in this mini-course by Farbod Shokrieh, part of a workshop exploring combinatorial methods in geometric and arithmetic structures.

• YouTube
• 57 minutes
• Self-Paced
• Free Video

Combinatorial Synergies in Geometry and Number Theory - Mini-course - 02

Delve into the second part of Kris Shaw's mini-course exploring Combinatorial Geometry and Hodge Theory, part of the "Combinatorial Synergies in Geometry and Number Theory" workshop at IMPA.

• YouTube
• 52 minutes
• Self-Paced
• Free Video

Alternative Modular Compactifications of M_{g,n} via Cluster Algebras with Applications to the MMP of \overline{M}_{g,n}

Explore alternative modular compactifications of M_{g,n} via cluster algebras and their applications to the minimal model program of \overline{M}_{g,n} in this mathematical presentation.

• YouTube
• 21 minutes
• Self-Paced
• Free Video

Doutorado: Geometria Algébrica II - Aula 05 (25/03/2025)

Explore advanced algebraic geometry concepts including sheaves, schemes, morphisms, Cartier and Weil divisors, line bundles, differentials, and cohomology in this doctoral-level mathematics lecture.

• YouTube
• 1 hour 47 minutes
• Self-Paced
• Free Video

Hybrid Spaces in Deligne-Mumford Stacks Induced by Green Functions

Explore hybrid spaces in Deligne-Mumford stacks induced by Green functions in this mathematical presentation by Bilson Castro, part of a workshop on combinatorial methods in geometry and number theory.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Singular Matroid Realization Spaces

Explore Dante Luber's presentation on Singular Matroid Realization Spaces, part of a workshop examining combinatorial methods in algebraic geometry and number theory.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Refinements of the Uniform Rank

Explore refinements of the uniform rank in combinatorial mathematics, presented by Myrla Kedynna Barbosa as part of the workshop on Combinatorial Synergies in Geometry and Number Theory.

• YouTube
• 18 minutes
• Self-Paced
• Free Video

Combinatorial Synergies in Geometry and Number Theory - On the Degree of the Tropical 1-fold Abel-Prym Map

Delve into Giusi Capobianco's exploration of the degree of the tropical 1-fold Abel-Prym map, part of a workshop connecting combinatorial methods with algebraic geometry and number theory.

• YouTube
• 16 minutes
• Self-Paced
• Free Video

Doutorado: Geometria Algébrica II - Aula 04 (21/03/2025)

Explore advanced algebraic geometry concepts including sheaves, schemes, morphisms, Cartier and Weil divisors, line bundles, differentials, and cohomology in this doctoral-level mathematics lecture.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Enriques Varieties

Explore Enriques varieties and their properties as Alessandra Sarti discusses definitions, examples as quotients of holomorphic symplectic manifolds, and extensions to singular settings.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video