Twists of elliptic curves - Nayoung Kim
Topic: Twists of elliptic curves Speaker: Nayoung Kim, Member, School of Mathematics Time/Room: 2:15pm - 2:30pm/S-101 More videos on http://video.ias.edu
From playlist Mathematics
Elliptic curves: point at infinity in the projective plane
This video depicts point addition and doubling on elliptic curve in simple Weierstrass form in the projective plane depicted using stereographic projection where the point at infinity can actually be seen. Explanation is in the accompanying article https://trustica.cz/2018/04/05/elliptic-
From playlist Elliptic Curves - Number Theory and Applications
In this talk, we will define elliptic curves and, more importantly, we will try to motivate why they are central to modern number theory. Elliptic curves are ubiquitous not only in number theory, but also in algebraic geometry, complex analysis, cryptography, physics, and beyond. They were
From playlist An Introduction to the Arithmetic of Elliptic Curves
Elliptic Curves - Lecture 6a - Ramification (continued)
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
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From playlist Elliptic Curves - Number Theory and Applications
Elliptic Curves - Lecture 15 - Introduction to the formal group of an elliptic curve
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Elliptic Curves - Lecture 24b - The canonical height
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Elliptic Curves - Lecture 5a - Order of vanishing
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Elliptic Curves - Lecture 4b - Singularities, morphisms
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Sums of Two Cubes by Ari Shnidman
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)
CTNT 2020 - Computations in Number Theory (by Alvaro Lozano-Robledo) - Lecture 4
The Connecticut Summer School in Number Theory (CTNT) is a summer school in number theory for advanced undergraduate and beginning graduate students, to be followed by a research conference. For more information and resources please visit: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2020 - Computations in Number Theory Research
2^k-Selmer groups and Goldfeld's conjecture. - Smith - Workshop 2 - CEB T2 2019
Alexander Smith (Harvard University) / 25.06.2019 2^k-Selmer groups and Goldfeld's conjecture. Take E to be an elliptic curve over a number field whose four torsion obeys certain technical conditions. In this talk, we will outline a proof that 100% of the quadratic twists of E have rank
From playlist 2019 - T2 - Reinventing rational points
Stephanie Chan, Integral points in families of elliptic curves
VaNTAGe Seminar, June 28, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Hindry-Silverman: https://eudml.org/doc/143604 Alpoge: https://arxiv.org/abs/1412.1047 Bhargava-Shankar: https://arxiv.org/abs/1312.7859 Brumer-McGuiness: https://www.ams.org/journal
From playlist Arithmetic Statistics II
John Cremona: The symplectic type of congruences between elliptic curves
In this talk I will describe a systematic investigation into congruences between the mod $p$ torsion modules of elliptic curves defined over $\mathbb{Q}$. For each such curve $E$ and prime $p$ the $p$-torsion $E[p]$ of $E$, is a 2-dimensional vector space over $\mathbb{F}_{p}$ which carrie
From playlist Number Theory
Elliptic Curves - Lecture 28b - Twists, homogeneous spaces, and descent
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves
Disparity in the statistics for quadratic twist families of elliptic curves - Barry Mazur [2011]
notes for this talk: https://drive.google.com/file/d/1fYOvIvPB0UxCN3mh2fP4hWCt93wUr0r6/view?usp=sharing Arithmetic Statistics April 11, 2011 - April 15, 2011 April 13, 2011 (09:40 AM PDT - 10:30 AM PDT) Speaker(s): Barry Mazur (Harvard University) Location: MSRI: Simons Auditorium http
From playlist Number Theory
Parametrization of the 2-, 3-, 4-, and 5-Selmer Groups of Elliptic... (Lecture 2) by Arul Shankar
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)
CTNT 2020 - A virtual tour of Magma
This video is part of a series of videos on "Computations in Number Theory Research" that are offered as a mini-course during CTNT 2020. In this video, we take a virtual tour of Magma, the computational algebra system, paying special attention to its number theory capabilities. Please clic
From playlist CTNT 2020 - Computations in Number Theory Research
Elliptic Curves - Lecture 3 - An introduction to Algebraic Geometry (part 1)
This video is part of a graduate course on elliptic curves that I taught at UConn in Spring 2021. The course is an introduction to the theory of elliptic curves. More information about the course can be found at the course website: https://alozano.clas.uconn.edu/math5020-elliptic-curves/
From playlist An Introduction to the Arithmetic of Elliptic Curves