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#p-adic Analysis

Showing: 19 courses
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A p-adic Approach to Differential Equations - Part II

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Explore advanced mathematical concepts in this lecture on p-adic approaches to differential equations. Delve into the second part of Daniel Vargas-Montoya's presentation, delivered as part of the Workshop on "Algebraicity and Transcendence for Singular D…
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A p-adic Approach to Differential Equations - Lecture 1

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Explore a mathematical lecture on p-adic approaches to differential equations in this first installment of a series presented by Masha Vlasenko. Delivered as part of the Workshop on "Algebraicity and Transcendence for Singular Differential Equations" at…
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1 Lesons
37 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Hidden Structures on de Rham Cohomology of P-adic Analytic Varieties

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Dive into hidden structures on de Rham cohomology of p-adic analytic varieties. Explore Hodge filtration, Frobenius, and monodromy in this advanced mathematical colloquium.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Roger Heath Brown - The Determinant Method, Lecture III

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Explore variants of the determinant method and its application to consecutive "powerful" numbers in algebraic number theory.
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1 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Roger Heath-Brown: The Determinant Method I

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Explore rational points on algebraic varieties, their counting methods, and related phenomena in this advanced mathematics lecture by renowned number theorist Roger Heath-Brown.
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1 Lesons
53 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3

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Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2

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Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1

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Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.
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1 Lesons
1 hour 54 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4

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Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
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1 Lesons
1 hour 52 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 3

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Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Rational Points on Modular Curves - Lecture 3

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Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Hidden Structures on de Rham Cohomology of p-adic Analytic Varieties

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Explore hidden structures in de Rham cohomology of p-adic analytic varieties, including Hodge filtration, Frobenius, and monodromy in mixed characteristic local fields.
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

P-adic Height Pairings of Geodesics on Modular Curves

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Explore p-adic height pairings of real quadratic geodesics on modular curves, their relation to real quadratic singular moduli, and insights from triple product period interpretation.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Frobenius Structure and p-adic Zeta Function

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Explore p-adic Frobenius structures in differential equations, their connection to algebraic geometry, and their relation to p-adic zeta values in hypersurface families.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Fields Institute

Iwasawa Theory in a Family of Z_p-Extensions

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Explore advanced number theory concepts, focusing on Iwasawa theory in Z_p-extensions families. Gain insights from expert Sujatha Ramdorai on this specialized mathematical topic.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

The Geometry of Stable Lattices in Bruhat-Tits Buildings

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Explore the geometry of stable lattices in Bruhat-Tits buildings through an in-depth mathematical conference talk by Mima Stanojkovski.
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1 Lesons
55 minutes
On-Demand
Free-Video
BIMSA

On the p-adic Local Langlands Correspondence

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Explore the $p$-adic local Langlands correspondence for ${\mathrm GL}_2({\mathbb Q}_p)$, focusing on geometric constructions from joint works with Dospinescu and Niziol.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
BunG Seminar

Moduli Spaces in p-adic Non-abelian Hodge Theory

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Delve into p-adic non-abelian Hodge theory through geometric moduli spaces, exploring Higgs bundles, pro-étale vector bundles, and their relationships to Simpson correspondence.
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1 Lesons
2 hours 11 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

P-adic Differential Equations Over Berkovich Curves

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Dive into advanced mathematical concepts exploring p-adic differential equations and their behavior over Berkovich curves, with insights from leading researcher Andrea Pulita.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video