Prismatic Cohomology Courses and Certifications

Centre International de Rencontres Mathématiques

Prismatic and Syntomic Cohomology of Ring Spectra

Explore prismatic and syntomic cohomology of ring spectra, covering definitions, examples, theorems, and applications in chromatic homotopy and K-theory.

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

Institut des Hautes Etudes Scientifiques (IHES)

q-Higgs Modules and the Nygaard Filtration in Prismatic Cohomology

Delve into advanced mathematical concepts of prismatic crystals, q-Higgs modules, and their cohomology, exploring Frobenius isogeny properties and Nygaard filtration in prismatic F-crystal theory.

• YouTube
• 1 hour 9 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

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Prismatization - Extending Prismatic Cohomology to Rigid-Analytic Spaces

Explore prismatic cohomology's extension to rigid-analytic spaces, including degeneration from analytic Hodge-Tate stack to Ogus-Vologodsky correspondence in characteristic p.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Prismatic Cohomology of Commutative Ring Spectra

Explore motivic filtrations on trace invariants of commutative ring spectra and their extension to prismatic cohomology, as presented by Arpon Raksit from MIT.

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

Fields Institute

A Prismatic Analysis of A1-Invariant Motivic Cohomology

Explore A1-invariant motivic cohomology through prismatic analysis with Matthew Morrow. Delve into advanced mathematical concepts and their applications in this Fields Institute lecture.

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

Hausdorff Center for Mathematics

Thomas Nikolaus- K-Theory of Z-P^n and Relative Prismatic Cohomology

Explore K-theory computation for Z/p^n rings using prisms and prismatic cohomology. Learn about generalized prisms and their universal property in this advanced mathematical discussion.

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

Hausdorff Center for Mathematics

Some Remarks on Prismatic Cohomology of Rigid Spaces

Explore advanced mathematical concepts with Peter Scholze as he delves into prismatic cohomology of rigid spaces, offering insights and observations on this complex topic.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Some Remarks on Prismatic Cohomology of Rigid Spaces

Explore advanced mathematical concepts with renowned mathematician Peter Scholze as he delves into prismatic cohomology of rigid spaces in this insightful lecture.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Prismatic Cohomology Relative Delta-Rings

Explore prismatic cohomology's evolution, comparing absolute and relative variants, and delve into a new generalization bridging the two approaches.

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