Galois Representations Courses and Certifications

Institut Henri Poincaré

Construction de représentations galoisiennes d'après Scholze

Découvrez comment la cohomologie de variétés hyperboliques se relie aux représentations galoisiennes selon l'approche de Scholze, explorant les connexions surprenantes entre géométrie hyperbolique et théorie algébrique des nombres.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

On the Local Constancy of Certain Mod P Galois Representations by Suneel Kumar

Exploration of local constancy in mod p Galois representations, focusing on theoretical aspects and implications for arithmetic geometry and modular curves.

• YouTube
• 30 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Computing Local Galois Representations Modulo 2 by Shalini Bhattacharya

Explore techniques for computing local Galois representations modulo 2, focusing on arithmetic geometry and modular curves. Gain insights into advanced mathematical concepts and their applications.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Bipartite Euler Systems for Certain Galois Representations by Pronay Karmakar

Exploration of bipartite Euler systems for specific Galois representations, discussing advanced concepts in arithmetic geometry and number theory.

• YouTube
• 23 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Number Theory Seminar - Advanced Topics in Arithmetic Geometry and L-Functions

Explore advanced number theory through expert lectures on L-functions, Galois representations, modular forms, and arithmetic geometry from leading mathematicians worldwide.

• YouTube
• 6 days 10 hours 57 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Panorama of Mathematics - Peter Scholze

Explore locally symmetric spaces and Galois representations with Peter Scholze, delving into hyperbolic 3-space, Bianchi manifolds, and non-abelian reciprocity laws in advanced mathematics.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - An Introduction to the Langlands Program

Dive into automorphic forms and representation theory through the groundbreaking Langlands Program, exploring deep connections between number theory and harmonic analysis.

• YouTube
• 1 day 6 hours 51 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Elliptic Curves and the Special Values of L-Functions (2022)

Explore advanced mathematical theories connecting elliptic curves, L-functions, and arithmetic geometry through expert lectures on Iwasawa theory, Selmer groups, and special values.

• YouTube
• 2 days 4 hours 3 minutes
• On-Demand
• Free Video

Fields Institute

Geometrization of the Local Langlands Correspondence

Explore the advanced mathematical concept of geometrizing local Langlands correspondence, delving into its intricacies and implications in number theory and algebraic geometry.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang

Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Institute for Advanced Study

A Derived Hecke Algebra in the Context of the Mod P Langlands Program - Rachel Ollivier

Explore derived Hecke algebras in mod p Langlands program, covering super singular modules, involution, trace maps, and twisted duals with Rachel Ollivier.

• YouTube
• 56 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Modularity of Abelian Surfaces

Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Sato-Tate Conjecture for Bianchi Modular Forms

Explore potential automorphy results for Ramanujan and Sato-Tate conjectures in GL(2) over imaginary quadratic fields, extending previous work and introducing new mathematical concepts.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Eigenvarieties and Completed Cohomology in p-adic Automorphic Forms

Explore connections between eigenvarieties and p-adic cohomology representation theory, focusing on p-adic families of finite slope automorphic eigenforms.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Fields Institute

Theta Series - Representation Theory, Geometry, and Arithmetic

Explore advanced topics in theta series connecting representation theory, algebraic geometry, and arithmetic through lectures on modular forms, Shimura varieties, and L-functions.

• YouTube
• 18 hours 50 minutes
• On-Demand
• Free Video