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#Prismatic Cohomology

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Institut des Hautes Etudes Scientifiques (IHES)

q-Higgs Modules and the Nygaard Filtration in Prismatic Cohomology

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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.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

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

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Explore p-adic geometry through Riemann-Hilbert correspondence, covering perfectoid rings, prismatic cohomology, and sheaf theory in characteristic p and beyond.
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23 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

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

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Explore p-adic geometry through a Riemann-Hilbert correspondence, examining algebraic differential equations, perverse sheaves, and prismatic cohomology in nonarchimedean fields.
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21 Lesons
45 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

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

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Explores the Riemann-Hilbert correspondence in complex and p-adic geometry, discussing its historical context, mathematical foundations, and recent developments in prismatic cohomology.
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19 Lesons
46 minutes
On-Demand
Free-Video
International Mathematical Union

Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic

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Explore recent developments in algebraic geometry over p-adically complete commutative rings, covering prismatic cohomology, semistable reduction, and Kodaira vanishing in mixed characteristic.
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12 Lesons
1 hour
On-Demand
Free-Video
Fields Institute

A Prismatic Analysis of A1-Invariant Motivic Cohomology

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Explore A1-invariant motivic cohomology through prismatic analysis with Matthew Morrow. Delve into advanced mathematical concepts and their applications in this Fields Institute lecture.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Some Remarks on Prismatic Cohomology of Rigid Spaces

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Explore advanced mathematical concepts with renowned mathematician Peter Scholze as he delves into prismatic cohomology of rigid spaces in this insightful lecture.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Some Remarks on Prismatic Cohomology of Rigid Spaces

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Explore advanced mathematical concepts with Peter Scholze as he delves into prismatic cohomology of rigid spaces, offering insights and observations on this complex topic.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The P^1-Motivic Cycle Map

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Explore P^1-motivic homotopy theory and its applications to various cohomology theories. Learn about the construction of the P^1-motivic cycle map and its implications for prismatic Poincaré duality.
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1 Lesons
58 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Prismatic and Syntomic Cohomology of Ring Spectra

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Explore prismatic and syntomic cohomology of ring spectra, covering definitions, examples, theorems, and applications in chromatic homotopy and K-theory.
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9 Lesons
52 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Prismatic Cohomology Relative Delta-Rings

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Explore prismatic cohomology's evolution, comparing absolute and relative variants, and delve into a new generalization bridging the two approaches.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Prismatic Cohomology of Commutative Ring Spectra

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Explore motivic filtrations on trace invariants of commutative ring spectra and their extension to prismatic cohomology, as presented by Arpon Raksit from MIT.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 4

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Explore prismatic cohomology, focusing on prismatization and the prismatic logarithm in advanced algebraic geometry and number theory.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 3

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Explore prismatic cohomology, covering general results, prismatization, and the prismatic logarithm in this advanced mathematics lecture by Johannes Anschütz.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 2

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Explore prismatic cohomology, focusing on general results and derived concepts. Delve into prismatization as a tool for understanding this advanced mathematical theory.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Prismatic Cohomology - Lecture 1

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Explore prismatic cohomology's foundations, including its applications in characteristic 0 and p, general results, prismatization, and the prismatic logarithm.
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1 Lesons
1 hour 39 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Analytic Prismatization - Extending Prismatic Cohomology to Rigid-Analytic Spaces

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Explore prismatic cohomology's extension to rigid-analytic spaces, including degeneration from analytic Hodge-Tate stack to Ogus-Vologodsky correspondence in characteristic p.
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1 Lesons
1 hour 16 minutes
On-Demand
Free-Video
BIMSA

Structure in the Search for Structure - Algebraic Number Theory and Motivic Cohomology

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Explore algebraic number theory through analogies between numbers and shapes, including quadratic reciprocity and linking numbers, leading to insights on Tate's 1966 conjecture.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

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

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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.
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1 Lesons
52 minutes
On-Demand
Free-Video
BunG Seminar

On the Prismatization of the Field with One Element

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Delve into advanced mathematical concepts of prismatic cohomology and its relationship to the theoretical field with one element, exploring geometric and arithmetic implications.
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1 Lesons
1 hour 54 minutes
On-Demand
Free-Video