p-adic Geometry Courses and Certifications

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

Institut des Hautes Etudes Scientifiques (IHES)

Local Systems and Higgs Bundles in p-adic Geometry

Explore the algebraic nature of local systems and Higgs bundles in p-adic geometry, drawing parallels to complex varieties and characteristic p counterparts.

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

Hausdorff Center for Mathematics

Arthur-César le Bras - p-adic Geometry - Vector Bundles on the FarguesFontaine Curve

Explore vector bundles on the Fargues-Fontaine curve in p-adic geometry, delving into advanced mathematical concepts and their applications.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

P-adic Geometry - Topologies, Diamonds and the Fargues-Fontaine Curve

Explore advanced p-adic geometry concepts, including topologies, diamonds, and the Fargues-Fontaine curve in this in-depth mathematical lecture.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Judith Ludwig - p-adic Geometry - Adic and Perfectoid Spaces

Explore adic and perfectoid spaces in p-adic geometry, delving into advanced mathematical concepts and their applications in modern algebraic geometry.

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

Hausdorff Center for Mathematics

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

Explore p-adic geometry and the Riemann-Hilbert correspondence, covering perfectoid spaces, crystals, and spectral methods in this advanced mathematics lecture.

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

Hausdorff Center for Mathematics

Jacob Lurie: A Riemann-Hilbert Correspondence in P-Adic Geometry

Explore p-adic geometry through Riemann-Hilbert correspondence, covering perfectoid rings, prismatic cohomology, and sheaf theory in characteristic p and beyond.

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

Hausdorff Center for Mathematics

Jacob Lurie: A Riemann-Hilbert Correspondence in p-adic Geometry

Explore p-adic geometry through Riemann-Hilbert correspondence, covering local systems, Galois representations, Hodge theory, and cohomology in this advanced mathematics lecture.

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

Institute for Advanced Study

Arithmetic Geometry Seminar - Advanced Topics in p-adic Geometry and Algebraic Number Theory

Explore cutting-edge research in arithmetic geometry through expert presentations on p-adic Hodge theory, moduli spaces, and geometric Langlands correspondence.

• YouTube
• 1 day 5 hours 45 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Special Year Workshop on p-adic Arithmetic Geometry

Explore cutting-edge research in p-adic arithmetic geometry through expert lectures on motivic cohomology, Hodge theory, prismatic crystals, and Shimura varieties.

• YouTube
• 16 hours 17 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Fall Workshop on p-adic Arithmetic Geometry

Explore advanced topics in p-adic arithmetic geometry through expert lectures on Frobenius structures, Simpson correspondence, prismatic cohomology, and Shimura varieties.

• YouTube
• 18 hours 6 minutes
• On-Demand
• Free Video

Institute for Advanced Study

The Fargues-Fontaine de Rham Stack in p-adic Analytic Geometry

Explore advanced concepts in analytic geometry through the Fargues-Fontaine de Rham stack, examining p-adic D-modules and their applications in p-adic Hodge theory and cohomology theories.

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

Fields Institute

The Perfectoid Approach to Purity Questions

Explore advanced mathematical concepts in purity theory using perfectoid techniques, presented by Kęstutis Česnavičius from Paris-Saclay University and CNRS.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Meromorphic Vector Bundles on the Fargues-Fontaine Curve

Explore meromorphic vector bundles on the Fargues-Fontaine curve and their role in connecting p-adic and perfect geometry approaches to the local Langlands correspondence conjecture.

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