Étale Cohomology Courses and Certifications

BIMSA

Applied ℓ-adic Cohomology

Explore advanced techniques in $\ell$-adic cohomology and their practical applications in modern algebraic geometry and number theory.

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

Institut des Hautes Etudes Scientifiques (IHES)

Recent Advances in Algebraic K-theory - 2023 Summer School

Dive into cutting-edge developments in algebraic K-theory through expert lectures on prismatic cohomology, motivic homotopy theory, and localization theorems at this intensive IHES summer school.

• YouTube
• 1 day 9 hours 25 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Franco-Asian Summer School on Arithmetic Geometry

Delve into advanced arithmetic geometry through expert lectures on p-adic cohomology, Galois representations, and Simpson correspondence from leading mathematicians.

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

IAS | PCMI Park City Mathematics Institute

Motivic Homotopy Theory

Explore advanced mathematical concepts connecting algebraic geometry, topology, and arithmetic through motivic homotopy theory with leading experts in this specialized field.

• YouTube
• 1 day 23 hours 16 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Characteristic Classes of Étale Local Systems

Explore characteristic classes of étale Z_p-local systems on algebraic varieties, their relation to Chern-Simons classes, and connections to Hodge filtration in p-adic settings.

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

Fields Institute

Modern Algebraic Geometry

Dive into advanced algebraic geometry concepts through 36 comprehensive lectures from the Fields Institute's graduate-level program covering contemporary mathematical techniques.

• YouTube
• 1 day 7 hours 32 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2

Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.

• YouTube
• 1 hour 58 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4

Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3

Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.

• YouTube
• 1 hour 51 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

Fields Institute

Quantum Complexity and L-functions

Explore quantum algorithms for L-functions and zeta functions, examining complexity results, cohomology's role, and applications to modular forms and Mordell-Weil theorem.

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

Centre International de Rencontres Mathématiques

Finite Flat Group Schemes over Z

Explore finite flat group schemes over Z with René Schoof in this advanced arithmetic geometry lecture from the CIRM Symposium.

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

BunG Seminar

The Global Hecke Action - Talk 41

Delve into geometric Satake theory and explore how Rep(G^vee) actions on BunG sheaves integrate into global Hecke modifications, with applications in Betti, de Rham, and étale settings.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

BunG Seminar

Singular Support for Constructible Sheaves in Étale Topology

Delve into advanced mathematical concepts of singular support in constructible sheaves, exploring wave front distributions and étale versions for geometric Langlands theory.

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

BunG Seminar

Grothendieck-Lefschetz Formula and Gaitsgory-Lurie Product Formula for BunG

Delve into advanced algebraic geometry concepts exploring Tamagawa number conjecture, Grothendieck-Lefschetz formula, and Gaitsgory-Lurie's product formula for computing étale cohomology of Bun_G.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video