Algebraic Geometry Courses and Certifications

Instituto de Matemática Pura e Aplicada

Commutative Algebra and Algebraic Geometry - 15th ALGA

Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Victor Hugo Jorge Pérez at the 15th ALGA conference, featuring cutting-edge research and discussions in mathematics.

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

Instituto de Matemática Pura e Aplicada

Commutative Algebra and Algebraic Geometry - 15th ALGA

Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Aline Andrade at the 15th ALGA conference, featuring cutting-edge research and discussions in mathematics.

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

Michael Penn

A Nice Rational Property of Cubic Curves in Mathematics

Discover an elegant mathematical exploration of rational properties in cubic curves through clear geometric demonstrations and proofs.

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

Institut des Hautes Etudes Scientifiques (IHES)

Motives and Ring Stacks

Explore advanced cohomology theories through ring stacks, examining their connection to 6-functor formalism and motivic theory. Gain insights into Tannaka duality and analytic geometry applications.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Mathematics on the Crossroad of Centuries

Explore cutting-edge mathematics bridging algebra, geometry, topology, and physics through expert lectures honoring Maxim Kontsevich's groundbreaking contributions.

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

BunG Seminar

Geometric Langlands Seminar - Dieudonné Theory and Barsotti-Tate Groups

Explore advanced topics in algebraic geometry through expert lectures on Barsotti-Tate groups, Dieudonne theory, moduli stacks, and p-adic Hodge theory from leading mathematicians.

• YouTube
• 1 day 3 hours 57 minutes
• On-Demand
• Free Video

ICTP Mathematics

Moduli Spaces, Mirror Symmetry, and Enumerative Geometry

Explore advanced algebraic geometry through moduli spaces, mirror symmetry, and enumerative geometry with leading experts from top institutions worldwide.

• YouTube
• 1 day 9 hours 46 minutes
• On-Demand
• Free Video

IISc Bangalore;  NPTEL

Introduction to Algebraic Geometry and Commutative Algebra

Explore algebraic geometry and commutative algebra, covering key concepts from rings and ideals to Zariski topology. Gain deep insights into this fundamental mathematical field with applications in number theory and geometry.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Residual Intersections in Geometry and Algebra by David Eisenbud

Explore geometric questions from the 19th century, including tangent conics and space curves, leading to the theory of residual intersections in geometry and algebra. Open problems discussed.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Geometric Langlands Conjecture and Non-Abelian Hodge Theory - Lecture 1

Explore the Geometric Langlands conjecture and non-abelian Hodge theory, examining connections between quantum fields, geometry, and representation theory in modern mathematics and theoretical physics.

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

Applied Algebraic Topology Network

Bernd Sturmfels - Learning Algebraic Varieties from Samples

Explore algebraic varieties through sampling, focusing on topology and geometry. Learn algorithms for determining dimensions and polynomials, with practical applications in Julia.

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

International Mathematical Union

The Positive Grassmannian, the Amplituhedron, and Cluster Algebras

Explore the positive Grassmannian and amplituhedron, delving into their combinatorial structures and connections to physics, integrable systems, and scattering amplitudes using oriented matroids, tropical geometry, and cluster algebras.

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

Hausdorff Center for Mathematics

Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry Part 2

Explore p-adic geometry through a Riemann-Hilbert correspondence, examining algebraic differential equations, perverse sheaves, and prismatic cohomology in nonarchimedean fields.

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

Hausdorff Center for Mathematics

Jacob Lurie: A Riemann-Hilbert Correspondence in P-adic Geometry Part 1

Explores the Riemann-Hilbert correspondence in complex and p-adic geometry, discussing its historical context, mathematical foundations, and recent developments in prismatic cohomology.

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

Institute for Advanced Study

Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang

Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.

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