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#p-adic Geometry

Showing: 12 courses
Institut des Hautes Etudes Scientifiques (IHES)

Crystallinity Properties and Rigid Flat Connections Revisited

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Explorez les propriétés de cristallinité et les connexions plates rigides dans un cadre non propre, avec une nouvelle approche topologique et p-adique.
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1 Lesons
1 hour 5 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

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Explore p-adic geometry through Riemann-Hilbert correspondence, covering local systems, Galois representations, Hodge theory, and cohomology in this advanced mathematics lecture.
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23 Lesons
53 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
Hausdorff Center for Mathematics

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

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Explore p-adic geometry and the Riemann-Hilbert correspondence, covering perfectoid spaces, crystals, and spectral methods in this advanced mathematics lecture.
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24 Lesons
57 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Arthur-César le Bras - p-adic Geometry - Vector Bundles on the FarguesFontaine Curve

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Explore vector bundles on the Fargues-Fontaine curve in p-adic geometry, delving into advanced mathematical concepts and their applications.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

P-adic Geometry - Topologies, Diamonds and the Fargues-Fontaine Curve

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Explore advanced p-adic geometry concepts, including topologies, diamonds, and the Fargues-Fontaine curve in this in-depth mathematical lecture.
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1 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Judith Ludwig - p-adic Geometry - Adic and Perfectoid Spaces

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Explore adic and perfectoid spaces in p-adic geometry, delving into advanced mathematical concepts and their applications in modern algebraic geometry.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Meromorphic Vector Bundles on the Fargues-Fontaine Curve

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Explore meromorphic vector bundles on the Fargues-Fontaine curve and their role in connecting p-adic and perfect geometry approaches to the local Langlands correspondence conjecture.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institute for Advanced Study

Non Abelian Hodge Theory in Positive Characteristic

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Explore non-abelian Hodge theory in positive characteristic with Siqing Zhang, delving into advanced mathematical concepts and their applications.
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1 Lesons
19 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Local Systems and Higgs Bundles in p-adic Geometry

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Explore the algebraic nature of local systems and Higgs bundles in p-adic geometry, drawing parallels to complex varieties and characteristic p counterparts.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video