Analytic number theory | Diophantine equations | Theorems in number theory

Birch's theorem

In mathematics, Birch's theorem, named for Bryan John Birch, is a statement about the representability of zero by odd degree forms. (Wikipedia).

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On the 2-part of the Birch–Swinnerton-Dyer conjecture for elliptic curves by Zhibin Liang

12 December 2016 to 22 December 2016 VENUE Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution. An

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Rigidity of p-adic local systems and Abapplications to Shimura varieties by Ruochuan Liu

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Torsion points of the Jacobian of modular curves X0(p2 ) and non- by Debargha Banerjee

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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K-groups and Global Fields by Haiyan Zhou

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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p-adic uniformization of locally symmetric spaces by Aditya Karnataki

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Root numbers and parity of local Iwasawa invariants by Suman Ahmed

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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The Most Difficult Math Problem You've Never Heard Of - Birch and Swinnerton-Dyer Conjecture

The Birch and Swinnerton-Dyer Conjecture is a millennium prize problem, one of the famed seven placed by the Clay Mathematical Institute in the year 2000. As the only number-theoretic problem in the list apart from the Riemann Hypothesis, the BSD Conjecture has been haunting mathematicians

From playlist Math

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John Voight: Computing classical modular forms as orthogonal modular forms

Abstract: Birch gave an extremely efficient algorithm to compute a certain subspace of classical modular forms using the Hecke action on classes of ternary quadratic forms. We extend this method to compute all forms of non-square level using the spinor norm, and we exhibit an implementatio

From playlist Algebraic and Complex Geometry

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Coates-Wiles Theorem by Anupam Saikia

12 December 2016 to 22 December 2016 VENUE Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution. An

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Coates-Wiles Theorem by Anupam Saikia

12 December 2016 to 22 December 2016 VENUE Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution. An

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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On the Fourier coefficients of a Cohen-Eisenstein series by Srilakshmi Krishnamoorthy

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Roger Heath-Brown: The Determinant Method I, Lecture I

Lecture 1 will set the background for the course, describing the problem of counting rational points on algebraic varieties, the phenomena that can arise, and some of the results which have been proved. Lecture 2 will prove the basic theorem of the p-adic Determinant Method. Lecture 3 will

From playlist Harmonic Analysis and Analytic Number Theory

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Solving Cubic Equations - Benedict Gross

Speaker : Benedict Gross Date and Time : 06 Jan 12, 17:15 Venue : AG 66, TIFR, Mumbai I will discuss a problem which has been central in number theory for several centuries -- whether a cubic equation in the plane has infinitely many rational solutions.This led to a precise conjecture by

From playlist Public Lectures

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A twisting result in non-commutative Iwasawa theory by Somnath Jha

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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On exceptional zero conjecture (Mazur-Tate-Teitelbaum) by Srilakshmi Krishnamoorthy

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Comparing the corank of fine Selmer group and Selmer group of elliptic curves by Sudhanshu Shekhar

12 December 2016 to 22 December 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution.

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Solving Diophantine equations using elliptic curves + Introduction to SAGE by Chandrakant Aribam

12 December 2016 to 22 December 2016 VENUE Madhava Lecture Hall, ICTS Bangalore The Birch and Swinnerton-Dyer conjecture is a striking example of conjectures in number theory, specifically in arithmetic geometry, that has abundant numerical evidence but not a complete general solution. An

From playlist Theoretical and Computational Aspects of the Birch and Swinnerton-Dyer Conjecture

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Algebraic number field | Hardy–Littlewood circle method | Dimension (vector space) | Quadratic form | Natural number | Mathematics | Mathematical proof | Coefficient | Integer | Degree of a polynomial | Mathematical induction | Homogeneous polynomial