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.
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.
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.
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.
Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic
Explore recent developments in algebraic geometry over p-adically complete commutative rings, covering prismatic cohomology, semistable reduction, and Kodaira vanishing in mixed characteristic.
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.
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.
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.
The P^1-Motivic Cycle Map
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.
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.
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.
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.
Introduction to Prismatic Cohomology - Lecture 4
Explore prismatic cohomology, focusing on prismatization and the prismatic logarithm in advanced algebraic geometry and number theory.
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.
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.
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.
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.
Structure in the Search for Structure - Algebraic Number Theory and Motivic Cohomology
Explore algebraic number theory through analogies between numbers and shapes, including quadratic reciprocity and linking numbers, leading to insights on Tate's 1966 conjecture.
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.
On the Prismatization of the Field with One Element
Delve into advanced mathematical concepts of prismatic cohomology and its relationship to the theoretical field with one element, exploring geometric and arithmetic implications.