Diophantine geometry | Theorems in number theory | Theorems in algebraic geometry | Abelian varieties | Conjectures

Torsion conjecture

In algebraic geometry and number theory, the torsion conjecture or uniform boundedness conjecture for torsion points for abelian varieties states that the order of the torsion group of an abelian variety over a number field can be bounded in terms of the dimension of the variety and the number field. A stronger version of the conjecture is that the torsion is bounded in terms of the dimension of the variety and the degree of the number field. The torsion conjecture has been completely resolved in the case of elliptic curves. (Wikipedia).

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Physics - Mechanics: Torsion (1 of 14) What is Torsion?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is torsion and the variables associated with twisting of a steel rod. Next video in this series can be found at: https://youtu.be/jlt6Jy59nJs

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (11 of 14) Torsion and a Hollow Tube

Visit http://ilectureonline.com for more math and science lectures! In this video I will derive the equation of torque=? of the torsion of a hollow tube. Next video in this series can be found at: https://youtu.be/mQ-wseAfAlc

From playlist PHYSICS 16.6 TORSION

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Physics - Mechanics: Torsion (2 of 14) What is Torsional Constant?

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is torsional constant or the “second momentum of area”. Next video in this series can be found at: https://youtu.be/Mr29GDA0jLE

From playlist PHYSICS 16.6 TORSION

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Theorem 1.10 - part 10.7 - Neron-Ogg-Shafarevich - Exact Sequences and Torsion

We prove a little lemma we used that states that if 0 \to A' \to A \to A'' \to 0 is an exact sequence of abelian groups and A' is divisible then taking m-torsion will give and exact sequence of m-torsion.

From playlist Theorem 1.10

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Physics - Mechanics: Torsion (14 of 14) Calculating the Second Moment or Area: The Hollow Circle

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the “second moment of area”=? of the hollow circle. First video in this series can be found at: https://youtu.be/9uenWEQwk08

From playlist PHYSICS 16.6 TORSION

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Theorem 1.10 - part 09 - Torsion Points of Abelian Varieties

We review some basic galois theory about torsion points of abelian varieties. In the next video we discuss the Serre-Tate theory (not about deformations but about conductors.

From playlist Theorem 1.10

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What is the Riemann Hypothesis?

This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation

From playlist Mathematics

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Physics - Mechanics: Torsion (9 of 14) The Torsional Pendulum: Another Example

Visit http://ilectureonline.com for more math and science lectures! In this video I will find f=? and T=? of a cable suspending a rod with 2 masses one on each end of the rod. Next video in this series can be found at: https://youtu.be/WGHEXoCGXVY

From playlist PHYSICS 16.6 TORSION

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Thoughts about Andrew Ogg’s (Torsion) conjecture - Barry C. Mazur

Celebration In Honor of the Frank C. and Florence S. Ogg Professorship Topic: Thoughts about Andrew Ogg’s (Torsion) conjecture Speaker: Barry C. Mazur Affiliation: Gerhard Gade University Professor, Harvard University Date: October 13, 2022 Ogg’s celebrated conjecture can be paraphrased

From playlist Mathematics

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An Overview of Some Problems of Unlikely Intersections - Umberto Zannier

Umberto Zannier Scuola Normale Superiore de Pisa, Italy May 4, 2010

From playlist Mathematics

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Iwasawa theory of the fine Selmer groups of Galois representations by Sujatha Ramdorai

PERFECTOID SPACES ORGANIZERS: Debargha Banerjee, Denis Benois, Chitrabhanu Chaudhuri, and Narasimha Kumar Cheraku DATE & TIME: 09 September 2019 to 20 September 2019 VENUE: Madhava Lecture Hall, ICTS, Bangalore Scientific committee: Jacques Tilouine (University of Paris, France) Eknath

From playlist Perfectoid Spaces 2019

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The Zilber-Pink conjecture - Jonathan Pila

Hermann Weyl Lectures Topic: The Zilber-Pink conjecture Speaker: Jonathan Pila Affiliation: University of Oxford Date: October 26, 2018 For more video please visit http://video.ias.edu

From playlist Hermann Weyl Lectures

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Recent developments in non-commutative Iwasawa theory I - David Burns

David Burns March 25, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

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On the Iwasawa Theory of Elliptic Curves at Eisenstein Primes by Francesc Castella (Lecture 1)

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

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Iwasawa invariants for elliptic curves in a family by Sujatha Ramdorai

PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla

From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)

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Asymptotic invariants of locally symmetric spaces – Tsachik Gelander – ICM2018

Lie Theory and Generalizations Invited Lecture 7.4 Asymptotic invariants of locally symmetric spaces Tsachik Gelander Abstract: The complexity of a locally symmetric space M is controlled by its volume. This phenomena can be measured by studying the growth of topological, geometric, alge

From playlist Lie Theory and Generalizations

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Unlikely Intersections in Multiplicative Groups and the Zilber Conjecture - Umberto Zannier

Umberto Zannier Scuola Normale Superiore de Pisa, Italy May 5, 2010 For more videos, visit http://video.ias.edu

From playlist Mathematics

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Physics - Mechanics: Torsion (13 of 14) Calculating the Second Moment or Area: The Circle

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the “second moment of area”=? of the circle. Next video in this series can be found at: https://youtu.be/NnT_Ic8hk_Y

From playlist PHYSICS 16.6 TORSION

Related pages

Torsion group | Order (group theory) | Dimension of an algebraic variety | John Tate (mathematician) | Quadratic field | Classical modular curve | Uniform boundedness conjecture for rational points | Direct sum of groups | Algebraic geometry | Cyclic group | Number theory | Bombieri–Lang conjecture