ICTP Mathematics Courses

Hyperkähler Manifolds: An Introduction - Part 3.1

Explore advanced concepts in complex geometry, focusing on Hyperkähler manifolds and their properties in this in-depth mathematical lecture by Elham IZADI.

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

Degree Computation of the Prym Map of Étale Double Coverings Over Genus 6 Curves - Part 1

Explore étale double coverings and Prym maps for genus 6 curves, focusing on degree computation techniques and mathematical insights in algebraic geometry.

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

Geometry of Prym Semicanonical Pencils

Explore the intricate geometry of Prym semicanonical pencils, delving into hyperkähler and Prym varieties with insights from classical and contemporary research.

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

Hyperkähler and Prym Varieties Exercise Session - TAGSS 2021

Explore hyperkähler and Prym varieties through exercises, delving into classical concepts and recent developments in algebraic geometry.

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

Hyperkähler Manifolds: An Introduction - Part 2

Explore advanced concepts in algebraic geometry, focusing on hyperkähler manifolds and their properties in this in-depth lecture by Elham Izadi from UCSD.

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

Hyperkähler Manifolds: An Introduction - Part 1

Explore the fascinating world of hyperkähler manifolds in this advanced mathematics lecture, delving into complex geometric structures and their properties.

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

Prym Varieties and Prym Map - Part 1

Explore Prym varieties and the Prym map in algebraic geometry, focusing on classical results and recent developments in hyperkähler geometry.

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

Prym Varieties and Prym Map - Part 2

Explore Prym varieties and the Prym map, delving into advanced algebraic geometry concepts and their applications in hyperkähler geometry.

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

Hitchin Fibration and Prym Varieties

Explore the connection between Hitchin fibration and Prym varieties in algebraic geometry, delving into classical results and recent developments in hyperkähler geometry.

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

On Ramified Prym Maps and Their Fibers

Explore ramified Prym maps and their fibers in algebraic geometry, delving into hyperkähler and Prym varieties with insights from classical and contemporary research.

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

Hyperkähler Manifolds, an Introduction I – Part 2

Explore advanced concepts of Hyperkähler manifolds with expert Elham IZADI, delving into complex geometric structures and their applications in mathematics and theoretical physics.

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

Hyperkähler Manifolds, an Introduction I

Explore the fundamental concepts and properties of hyperkähler manifolds in this introductory lecture by Elham Izadi, delving into complex geometry and algebraic topology.

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

Generalities About Abelian Varieties - Part 2

Explore advanced concepts of abelian varieties, including complex tori, polarizations, and isogenies, building on fundamental algebraic geometry principles.

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

Generalities About Abelian Varieties - Part 1

Explore fundamental concepts and properties of abelian varieties in algebraic geometry, laying the groundwork for advanced study in this mathematical field.

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

Detecting the Completeness of a Finsler Manifold via Potential Theory for Its Infinity Laplacian

Explore potential theory for infinity Laplacian to detect Finsler manifold completeness. Delve into prescribing Q-curvature equations and solution behaviors on 4-manifolds.

• YouTube
• 1 hour 6 minutes
• Self-Paced
• Free Video