Q-rational Points Courses and Certifications

International Centre for Theoretical Sciences

P-adic Adelic Metrics, P-adic Heights, and Rational Points on Curves by Padma Srinivasan

Explore P-adic adelic metrics, P-adic heights, and their applications in studying rational points on curves with expert Padma Srinivasan in this advanced mathematics lecture.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Conjectural Asymptotics of Prime Orders of Points on Elliptic Curves Over Number

Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Automorphic Lefschetz Properties and L-Values

Explore automorphic Lefschetz properties and L-values in arithmetic geometry with expert Arvind Nair. Gain insights into advanced concepts and their applications in number theory.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Arithmetic Field Theory for Elliptic Curves by Minhyong Kim

Explore advanced arithmetic field theory for elliptic curves, focusing on rational points on modular curves, Chabauty methods, and computational aspects in arithmetic geometry.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Diophantine Stability for Elliptic Curves on Average by Anwesh Ray

Explore Diophantine stability for elliptic curves, focusing on average-case analysis. Gain insights into arithmetic geometry and modular curves through advanced theoretical and computational approaches.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Ribet's Lemma in Residually Indistinguishable Case by Mahesh Kakde

Exploration of Ribet's Lemma in the context of residually indistinguishable cases, delving into advanced concepts in arithmetic geometry and modular curves theory.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

On Darmon's Program for the Generalized Fermat Equation of Signature - r, r, p - by Nicolas Billerey

Exploration of Darmon's approach to solving generalized Fermat equations, focusing on signature (r,r,p). Discusses theoretical foundations and computational techniques in arithmetic geometry.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

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 Online Course

International Centre for Theoretical Sciences

The Eisenstein Cycles and Manin-Drinfeld Properties

Explore Eisenstein cycles and Manin-Drinfeld properties in modular curves, focusing on rational points and their significance in arithmetic geometry. Gain insights from expert Debargha Banerjee.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

The Principle of Quadratic Chabauty and Nonsplit Cartan Modular Curves

Explore advanced techniques for studying rational points on modular curves, focusing on quadratic Chabauty methods and nonsplit Cartan modular curves in arithmetic geometry.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course