Algebraic Geometry Courses and Certifications

ICTP Mathematics

ICTP-IGAP Seminar on Representations of the Diagonal and the Cohomology Rings of Quot Schemes

Exploration of diagonal class representations in moduli settings and cohomology ring structures of punctual Quot schemes, with focus on accessible cases and mathematical insights.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

ICTP Mathematics

Moduli Spaces of Sheaves, Vafa-Witten Formula and Virtual Invariants

Explore moduli spaces of sheaves, Vafa-Witten formula, and virtual invariants in algebraic geometry. Learn about Hilbert schemes, stable sheaves, and perfect obstruction theories.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

ICTP Mathematics

Overview of Finite Prym Maps - Part 1

Explore finite Prym maps in algebraic geometry, focusing on hyperkähler and Prym varieties. Gain insights into classical results and recent developments in this advanced mathematical topic.

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

ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 1

Explore the intricacies of hyperkähler manifolds in this advanced algebraic geometry lecture, delving into classical concepts and recent developments in the field.

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

ICTP Mathematics

Hyperkähler Manifolds: An Introduction - Part 5

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

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

ICTP Mathematics

Degree Computation of the Prym Map of Triple Cyclic Coverings Over Genus 4 Curves

Explore the Prym map's degree computation for triple cyclic coverings over genus 4 curves in this advanced mathematics lecture by Angela Ortega from Humboldt University Berlin.

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

ICTP Mathematics

Degree Computation of the Prym Map of Triple Cyclic Coverings Over Genus 4 Curves - Part 2

Explore advanced algebraic geometry concepts, focusing on Prym maps and triple cyclic coverings of genus 4 curves. Delve into complex mathematical theories with expert Angela Ortega.

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

ICTP Mathematics

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
• On-Demand
• Free Video

ICTP Mathematics

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
• On-Demand
• Free Video

ICTP Mathematics

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
• On-Demand
• Free Video

ICTP Mathematics

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
• On-Demand
• Free Video

ICTP Mathematics

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
• On-Demand
• Free Video

ICTP Mathematics

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
• On-Demand
• Free Video

ICTP Mathematics

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
• On-Demand
• Free Video

ICTP Mathematics

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
• On-Demand
• Free Video