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#Q-rational Points

Showing: 11 courses
International Centre for Theoretical Sciences

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

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Explores conjectural asymptotics of prime orders of points on elliptic curves over number fields, advancing understanding in arithmetic geometry and modular curve theory.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Automorphic Lefschetz Properties and L-Values

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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.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

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

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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.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

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

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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.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Computing Local Galois Representations Modulo 2 by Shalini Bhattacharya

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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.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Eisenstein Cycles and Manin-Drinfeld Properties

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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.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Principle of Quadratic Chabauty and Nonsplit Cartan Modular Curves

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Explore advanced techniques for studying rational points on modular curves, focusing on quadratic Chabauty methods and nonsplit Cartan modular curves in arithmetic geometry.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Ribet's Lemma in Residually Indistinguishable Case by Mahesh Kakde

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Exploration of Ribet's Lemma in the context of residually indistinguishable cases, delving into advanced concepts in arithmetic geometry and modular curves theory.
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1 Lesons
59 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Arithmetic Field Theory for Elliptic Curves by Minhyong Kim

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Explore advanced arithmetic field theory for elliptic curves, focusing on rational points on modular curves, Chabauty methods, and computational aspects in arithmetic geometry.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Diophantine Stability for Elliptic Curves on Average by Anwesh Ray

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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.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Endomorphism Algebras of Geometrically Split Abelian Surfaces over Q

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Explore endomorphism algebras of geometrically split abelian surfaces over Q in this advanced mathematics talk. Delve into complex algebraic geometry and number theory concepts.
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1 Lesons
47 minutes
On-Demand
Free-Video