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
Homological algebra 1: Tor for abelian groups
This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We give two examples to motivate the definition of the groups Tor(A,B), from the universal coefficient theorem of algebraic t
From playlist Commutative algebra
Gianluca Paolini: Torsion-free Abelian groups are Borel complete
HYBRID EVENT Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 14, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicia
From playlist Logic and Foundations
(Fundamental Group of an Elliptic Curve) = (Tate Module)
Here we talk about how the abelianization of the geometric algebraic fundmental group is really the Tate module.
From playlist Fundamental Groups
Jacob explains the fundamental concepts in group theory of what groups and subgroups are, and highlights a few examples of groups you may already know. Abelian groups are named in honor of Niels Henrik Abel (https://en.wikipedia.org/wiki/Niels_Henrik_Abel), who pioneered the subject of
From playlist Basics: Group Theory
This lecture is part of an online math course on group theory. We review free abelian groups, then construct free (non-abelian) groups, and show that they are given by the set of reduced words, and as a bonus find that they are residually finite.
From playlist Group theory
AlgTopReview4: Free abelian groups and non-commutative groups
Free abelian groups play an important role in algebraic topology. These are groups modelled on the additive group of integers Z, and their theory is analogous to the theory of vector spaces. We state the Fundamental Theorem of Finitely Generated Commutative Groups, which says that any such
From playlist Algebraic Topology
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
Karen Vogtmann - On the cohomological dimension of automorphism groups of RAAGs
The class of right-angled Artin groups (RAAGs) includes free groups and free abelian groups, Both of these have extremely interesting automorphism groups, which share some properties and not others. We are interested in automorphism groups of general RAAGs, and in particular
From playlist Groupes, géométrie et analyse : conférence en l'honneur des 60 ans d'Alain Valette
Etale Theta - part 3 - Interior/Cuspidal Cyclotome and the cover Xu
Here is what we do: *explain the cyclotome appearing in the two step nilpotent quotient of Delta. This cyclotome is used for coefficients for the Kummer class of the Jacobi Theta function. *We construct covers Xu of a punctured elliptic curve which depends on a choice of l-torsion subgrou
From playlist Etale Theta
Álvaro Lozano-Robledo: Recent progress in the classification of torsion subgroups of...
Abstract: This talk will be a survey of recent results and methods used in the classification of torsion subgroups of elliptic curves over finite and infinite extensions of the rationals, and over function fields. Recording during the meeting "Diophantine Geometry" the May 22, 2018 at th
From playlist Math Talks
Rachel Pries - The geometry of p-torsion stratifications of the moduli space of curve
The geometry of p-torsion stratifications of the moduli space of curve
From playlist 28ème Journées Arithmétiques 2013
Jacob Tsimerman, Unlikely intersections and the André-Oort conjecture
VaNTAGe Seminar, December 7, 2021 License: CC-BY-NC-SA
From playlist Complex multiplication and reduction of curves and abelian varieties
Padma Srinivasan, Computing exceptions primes for Galois representations of abelian surfaces
VaNTAGe Seminar on Dec 8, 2020 License CC-BY-NC-SA
From playlist ICERM/AGNTC workshop updates
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
Small Height and Infinite Non-Abelian Extensions - Philipp Habegger
Philipp Habegger University of Frankfurt; Member, School of Mathematics April 8, 2013 he Weil height measures the “complexity” of an algebraic number. It vanishes precisely at 0 and at the roots of unity. Moreover, a finite field extension of the rationals contains no elements of arbitrari
From playlist Mathematics
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
Group theory 17: Finite abelian groups
This lecture is part of a mathematics course on group theory. It shows that every finitely generated abelian group is a sum of cyclic groups. Correction: At 9:22 the generators should be g, h+ng not g, g+nh
From playlist Group theory
Nicholas Triantafillou, Computing isolated points on modular curves
VaNTAGe seminar, on Nov 10, 2020 License: CC-BY-NC-SA.
From playlist ICERM/AGNTC workshop updates