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#Automorphic Forms

Showing: 46 courses
Institute for Advanced Study

First Explicit Reciprocity Law for Unitary Friedberg-Jacquet Periods

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Delve into the first explicit reciprocity law for unitary Friedberg-Jacquet periods. Explore its application to the Bloch-Kato conjecture and challenges arising from lack of local multiplicity one.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 2

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Explore advanced concepts in subconvexity of L-functions through an in-depth mathematical lecture by Philippe Michel, expanding on previous discussions.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
BunG Seminar

Algebraicity of BG and BunG - Talk 3

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Delve into algebraic stacks theory, exploring classifying stack BG and Bun_{G,X}, with focus on GL_n groups and smooth projective curves, including Weil's automorphic interpretation.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Large Sieve Inequalities for Families of Automorphic Forms

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Explore advanced large sieve inequalities for automorphic forms, focusing on GL_3 spectral cases and recent progress in higher rank families. Gain insights into measuring family understanding.
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15 Lesons
1 hour
On-Demand
Free-Video
Fields Institute

Ramification of Supercuspidal Parameters

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Explore supercuspidal parameters in representation theory, focusing on local Langlands conjecture, Fargues-Scholze theory, and applications to automorphic forms and wild ramification.
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22 Lesons
58 minutes
On-Demand
Free-Video
International Mathematical Union

David Loeffler, Sarah Zerbes - Euler Systems and the Bloch-Kato Conjecture for Automorphic

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Explore Euler systems and the Bloch-Kato conjecture in relation to automorphic forms, delving into advanced mathematical concepts and their applications.
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1 Lesons
43 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Orbit Method, Microlocal Analysis and Applications to L-Functions

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Explore quantitative orbit method in microlocal analysis, its applications to representation theory, and implications for L-functions, including moment estimates and subconvex bounds.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 18

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 14

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 3

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
43 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 8

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur.
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1 Lesons
45 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 7

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Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.
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1 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 6

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
56 minutes
On-Demand
Free-Video
Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 5

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Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.
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1 Lesons
53 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Beilinson's Conjecture for the Dwork Family

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Explores Beilinson's conjecture for the Dwork family, focusing on constructing classes in higher Chow groups and computing their regulators in relation to motivic L-functions and automorphic forms.
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1 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Analytic Number Theory and Automorphic Forms

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Explore advanced concepts in analytic number theory and automorphic forms with insights from a renowned expert in the field.
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1 Lesons
46 minutes
On-Demand
Free-Video
Galileo Galilei Institute

A Summary of Methods for Solving Differential Equations Involving Automorphic Forms

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Explore advanced techniques for solving differential equations with automorphic forms, enhancing mathematical problem-solving skills in complex analysis and number theory.
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1 Lesons
1 hour
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 3

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Explore advanced concepts in subconvexity of L-functions with mathematician Paul Nelson in this in-depth conference talk from the "Building bridges 6th EU/US" meeting.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 1

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Explore advanced concepts in analytic number theory, focusing on subconvexity bounds for L-functions and their applications in mathematics.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 4

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Explore advanced concepts in subconvexity of L-functions with mathematician Paul Nelson in this in-depth conference talk from the "Building bridges 6th EU/US" meeting.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Zeta Functions of Shimura Varieties: Past, Present, and the Near Future

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Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Counting Non-Tempered Automorphic Forms Using Endoscopy

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Explore advanced concepts in automorphic forms and endoscopy, focusing on counting non-tempered forms and their mathematical implications.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Modular Forms and Differential Equations: Connections and Applications

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Explore connections between modular forms and differential equations, from historical origins to modern applications in mathematics and physics.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Conference GSI

SL(2, Z)-Equivariant Machine Learning with Modular Forms - Theory and Applications

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Explore SL(2, Z)-equivariant machine learning, delving into modular forms theory and its practical applications in advanced mathematical modeling.
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1 Lesons
23 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Hecke Algebras for p-adic Groups and the Explicit Local Langlands Correspondence

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Explore Hecke algebras for p-adic groups and the explicit Local Langlands Correspondence in this advanced mathematics lecture by Yujie Xu at CIRM's thematic meeting.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 6

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 5

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
2 hours 6 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 4

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting geometric perspectives to topology, probability, and automorphic forms.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 3

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
2 hours
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 2

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
2 hours
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 1

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Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
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1 Lesons
2 hours 4 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Modularity of Abelian Surfaces

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Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Period Relations for Arithmetic Automorphic Periods on Unitary Groups

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Explore period relations for arithmetic automorphic periods on unitary groups, focusing on Petersson inner products and connections to L-function special values.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Eigenvarieties and Completed Cohomology in p-adic Automorphic Forms

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Explore connections between eigenvarieties and p-adic cohomology representation theory, focusing on p-adic families of finite slope automorphic eigenforms.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Banach Center

Mathematical Grand Unification

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Explore the concept of mathematical grand unification through a thought-provoking lecture by Bartosz Naskręcki, delving into conjectures and potential connections across mathematical fields.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
BIMSA

Eisenstein Series - An Overview

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Explore Eisenstein series in a concise, self-contained overview, gaining insights into this mathematical concept and its applications.
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1 Lesons
48 minutes
On-Demand
Free-Video
BIMSA

The Langlands Project - Connecting Automorphic Forms and Number Theory

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Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.
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1 Lesons
56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Analytical Properties of Automorphic L-Series via its Integral Kernel

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Delve into advanced mathematical concepts exploring analytical properties of automorphic L-series through integral kernel analysis, presented by Fernando Andrés Herrera Contreras at IMPA's Number Theory Workshop.
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1 Lesons
27 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

L-functions of Elliptic Curves Over Real Quadratic Fields as Special Values of Automorphic Green's Functions

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Delve into advanced number theory concepts exploring L-functions of elliptic curves over real quadratic fields and their relationship to automorphic Green's functions through expert mathematical analysis.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
BunG Seminar

Introduction to the Tamagawa Number Theorem for Function Fields

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Delve into advanced number theory concepts through an exploration of Tamagawa numbers, their role in lattice enumeration, L-functions, and geometric interpretations in function fields.
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1 Lesons
1 hour 51 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Sub-Weyl Bound for GL(2) L-functions

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Delve into advanced number theory concepts focusing on Sub-Weyl bounds for GL(2) L-functions, exploring circle method applications and their connections to analytic theory.
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1 Lesons
43 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Subconvexity for L-functions of Hilbert Modular Forms via Delta Method

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Delve into advanced number theory concepts focusing on L-functions of Hilbert modular forms and their subconvexity bounds through the Delta Method approach in analytic number theory.
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1 Lesons
49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Second Moment of the GL_3 Standard L-function on the Critical Line

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Delve into advanced number theory concepts focusing on GL_3 Standard L-function's second moment analysis on the critical line through rigorous mathematical exploration.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Level Aspect Subconvexity for GL2×GL2 L-functions

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Delve into advanced number theory concepts focusing on level aspect subconvexity for GL2xGL2 L-functions, exploring circle method applications and analytic theory developments.
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1 Lesons
49 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Symptotics of the Second Moment of GL(3) Twisted L-functions

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Delve into advanced number theory concepts focusing on GL(3) twisted L-functions, their second moment asymptotics, and applications in the circle method within analytic number theory.
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1 Lesons
55 minutes
On-Demand
Free-Video