Selmer Groups Courses and Certifications

Fields Institute

2-Selmer Groups, 2-Class Groups, and the Arithmetic of Binary Forms

Explore Selmer groups, class groups, and binary forms in number theory. Gain insights into elliptic curves, hyperelliptic Jacobians, and superelliptic equations in this advanced mathematics seminar.

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

Centre International de Rencontres Mathématiques

Quadratic Twist Families of Elliptic Curves with Unusual 2∞-Selmer Groups

Explore quadratic twist families of elliptic curves with unusual 2∞-Selmer groups in this advanced mathematics talk by Alexander Smith at CIRM's Arithmetic Statistics meeting.

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

International Centre for Theoretical Sciences

Kolyvagin Systems of Gauss Sum Type and the Structure of Selmer Groups

Explore advanced number theory through Kolyvagin systems and their connection to Selmer group structures in this specialized mathematical lecture by Masato Kurihara.

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

Institute for Advanced Study

Selmer Groups and Hilbert's Tenth Problem

Explore Selmer groups as cohomological tools for solving diophantine equations, with applications to Hilbert's tenth problem over finitely generated rings.

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

International Centre for Theoretical Sciences

On the Pseudonullity of Fine Selmer Groups Over Function Fields by Sohan Ghosh

Explores pseudonullity of fine Selmer groups over function fields, advancing understanding in arithmetic geometry and modular curves. Contributes to research on rational points and algebraic structures.

• YouTube
• 22 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

International Mathematical Union

Probability Theory for Random Groups Arising in Number Theory

Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.

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

International Mathematical Union

The Arithmetic of Quadratic Twists of Elliptic Curves

Explore quadratic twists of elliptic curves, Selmer groups, and L-values. Delve into the congruent number problem and progress on the BSD conjecture. Gain insights into advanced number theory concepts.

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

Fields Institute

Arithmetic Statistics and the Iwasawa Theory of Elliptic Curves

Explore arithmetic statistics and Iwasawa theory of elliptic curves, covering Selmer groups, Greenberg's Conjecture, and p-adic Birch and Swinnerton-Dyer Conjecture in this advanced number theory seminar.

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

Institute for Advanced Study

First Explicit Reciprocity Law for Unitary Friedberg-Jacquet Periods

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.

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

International Centre for Theoretical Sciences

p-adic Shimura Classes and Stark Units

Explore p-adic Shimura classes and their connections to Stark units in number theory through advanced mathematical analysis and automorphic forms.

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

International Centre for Theoretical Sciences

Relative Satake Isomorphism and Euler Systems

Explore advanced connections between relative Satake isomorphism and Euler systems in number theory, focusing on automorphic forms and special L-function values.

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

International Centre for Theoretical Sciences

Degenerate Automorphic Forms and Euler Systems - Lecture 4

Explore advanced connections between degenerate automorphic forms and Euler systems in this specialized number theory lecture from ICTS.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Refined Aspects of Some Kolyvagin Systems

Explore advanced mathematical concepts in Kolyvagin systems and their refined aspects through expert analysis of automorphic forms and L-functions in number theory.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Greenberg's Question for Siegel Modular Forms

Explore Greenberg's Question for Siegel Modular forms in this advanced mathematical lecture examining connections between automorphic forms and arithmetic L-functions.

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