Shimura Varieties Courses and Certifications

Centre International de Rencontres Mathématiques

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

Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.

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

University of Chicago Department of Mathematics

Diophantine Results for Shimura Varieties

Explore Diophantine results for Shimura varieties, focusing on exceptional settings without moduli interpretation, including finiteness of S-rational points, Tate conjecture, and construction of canonical integral models.

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

Institute for Advanced Study

Generalizations of Ohta's Theorem for Holomorphic Modular Forms on Certain Shimura Varieties

Delve into advanced arithmetic geometry through Ohta's theorem generalizations, exploring holomorphic modular forms and Shimura varieties with applications in Euler systems construction.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Geometric Sen Theory, Locally Analytic Representations and the Completed Cohomology of Shimura Varieties - Lecture 1

Discover advanced methods for analyzing locally analytic vectors in completed cohomology of Shimura varieties through geometric Sen theory and cutting-edge mathematical techniques.

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

Centre International de Rencontres Mathématiques

Geometric Sen Theory, Locally Analytic Representations and the Completed Cohomology of Shimura Varieties - Lecture 3

Explore advanced methods for analyzing locally analytic vectors in completed cohomology of Shimura varieties through geometric Sen theory and recent mathematical developments.

• YouTube
• 1 hour 32 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Geometric Sen Theory, Locally Analytic Representations and the Completed Cohomology of Shimura Varieties - Lecture 2

Explore advanced methods for analyzing locally analytic vectors in completed cohomology of Shimura varieties through geometric Sen theory and recent mathematical developments.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Simons Foundation

Intersection Cohomology of Shimura Varieties (March 13, 2025)

Explore the intersection cohomology of Shimura varieties and its relation to automorphic forms through L2 cohomology, with insights from the Fargues-Scholze local Langlands correspondence.

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

Instituto de Matemática Pura e Aplicada

Algebraic Cycles on Spin Shimura Varieties and Special Values of L-Functions

Explore algebraic cycles on spin Shimura varieties and their connection to special values of L-functions in this advanced mathematical lecture from the GAAG workshop.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Some Vanishing Results for Rational Completed Cohomology of Shimura Varieties

Explore p-adically completed cohomology in Shimura varieties, focusing on vanishing results for regular infinitesimal characters using Bhatt's Kodaira vanishing and translation functors.

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

Institut des Hautes Etudes Scientifiques (IHES)

Plectic Cohomology of Mixed Shimura Varieties and Stacks

Explore joint work on plectic cohomology of mixed Shimura varieties and stacks with Tony Scholl from the University of Cambridge.

• YouTube
• 1 hour 14 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

Institut des Hautes Etudes Scientifiques (IHES)

Arithmetic Algebraic Geometry in Memory of Jan Nekovář

Explore cutting-edge advances in arithmetic algebraic geometry through expert lectures honoring mathematician Jan Nekovář's contributions to the field.

• YouTube
• 22 hours 11 minutes
• On-Demand
• Free Video

Fields Institute

Fields Number Theory Seminar

Explore advanced number theory through expert seminars covering Galois theory, elliptic curves, L-functions, Shimura varieties, and arithmetic geometry from leading researchers.

• YouTube
• 3 days 11 hours 48 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Independence of ℓ for Frobenius Conjugacy Classes Attached to Abelian Varieties - Rong Zhou

Explore Frobenius conjugacy classes in abelian varieties, focusing on independence of ℓ, Mumford-Tate groups, and connections to Shimura varieties and CM liftings.

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

Institut des Hautes Etudes Scientifiques (IHES)

Period Relations for Arithmetic Automorphic Periods on Unitary Groups

Explore period relations for arithmetic automorphic periods on unitary groups, focusing on Petersson inner products and connections to L-function special values.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video