Cohomology Courses and Certifications

Hausdorff Center for Mathematics

Differential Topology for Diamonds

Explores Banach-Colmez tangent spaces for diamonds in smooth rigid analytic varieties, proposing conjectures on preperfectoid loci and cohomological smoothness, with examples and computations.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Fields Institute

Cohomological Obstructions to Group Stability

Explore cohomological obstructions to group stability in this advanced mathematics seminar, delving into operator algebras and their applications in group theory.

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

Applied Algebraic Topology Network

Cohomological Characterization of Information Structures

Exploring cohomological methods to quantify statistical interactions in datasets, linking information theory, statistical physics, and machine learning for improved data analysis and interpretation.

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

Institut des Hautes Etudes Scientifiques (IHES)

On the Cohomology of Shimura Varieties with Torsion Coefficients

Explore recent advances in Shimura varieties' cohomology with torsion coefficients, including Hodge-Tate period morphism geometry and local-global compatibility insights.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 1

Explore prismatic cohomology's foundations, including its applications in characteristic 0 and p, general results, prismatization, and the prismatic logarithm.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

International Mathematical Union

Motivic Cohomology - Past, Present and Future

Explore motivic cohomology's evolution, recent developments, and future prospects in algebraic geometry, including cycles with modulus and Chow-Witt theory.

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

Hausdorff Center for Mathematics

On Compactly Supported P-Adic Proétale Cohomology of Analytic Varieties

Explore p-adic proétale cohomology with compact support for analytic varieties, including properties, comparison theorems, and connections to de Rham cohomologies.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

IMSA

On the Nielsen Realization Problem and Cohomology of Mapping Class Groups of Non-orientable Surfaces

Exploración del problema de realización de Nielsen y cohomología de grupos de clases de mapeo en superficies no orientables, con aplicaciones en topología y teoría de grupos.

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

ICTP Mathematics

On the Cohomology of Quot Schemes Parametrizing Torsion Quotients on a Smooth Curve

Explore cohomology of Quot schemes on smooth curves, focusing on torsion quotients. Delve into additive basis, natural maps, and geometric interpretations with expert insights.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Fields Institute

Cohomology of Moduli Spaces of Curves

Explore the intricate cohomology of curve moduli spaces with Hannah Larson, delving into advanced algebraic geometry concepts and their applications.

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

Fields Institute

Cohomology of Compactifications of Hypersurface Arrangement Complements

Explore advanced algebraic geometry concepts, focusing on cohomology of compactifications in hypersurface arrangement complements with expert Alex Fink.

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

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 4

Explore prismatic cohomology, focusing on prismatization and the prismatic logarithm in advanced algebraic geometry and number theory.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 3

Explore prismatic cohomology, covering general results, prismatization, and the prismatic logarithm in this advanced mathematics lecture by Johannes Anschütz.

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 2

Explore prismatic cohomology, focusing on general results and derived concepts. Delve into prismatization as a tool for understanding this advanced mathematical theory.

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

Galileo Galilei Institute

Surjective Submersions, Bundle Gerbes, Group Cohomology and Applications - Part 3

Explore advanced mathematical concepts including surjective submersions, bundle gerbes, group cohomology, and their applications in this in-depth lecture by Peter Bouwknegt.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video