Abelian varieties | Elliptic curves

Moduli of abelian varieties

Abelian varieties are a natural generalization of elliptic curves, including algebraic tori in higher dimensions. Just as elliptic curves have a natural moduli space over characteristic 0 constructed as a quotient of the upper-half plane by the action of , there is an analogous construction for abelian varieties using the Siegel upper half-space and the symplectic group . (Wikipedia).

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Kazuya Kato - Logarithmic abelian varieties

Correction: The affiliation of Lei Fu is Tsinghua University. This is a joint work with T. Kajiwara and C. Nakayama. Logarithmic abelian varieties are degenerate abelian varieties which live in the world of log geometry of Fontaine-Illusie. They have group structures which do not exist in

From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021

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Algebraic Cycles on Picarad Moduli Spaces of Abelian Varieties - Michael Rapoport

Michael Rapoport University of Bonn November 11, 2010 Picard moduli spaces parametrize principally polarized abelian varieties with complex multiplication by the ring of integers in an imaginary-quadratic field. The loci where the abelian varieties split off an elliptic curve in a control

From playlist Mathematics

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Gavril Farkas: The uniformization of the moduli space of abelian 6-folds

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

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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

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Representation theory: Abelian groups

This lecture discusses the complex representations of finite abelian groups. We show that any group is iomorphic to its dual (the group of 1-dimensional representations, and isomorphic to its double dual in a canonical way (Pontryagin duality). We check the orthogonality relations for the

From playlist Representation theory

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Derived Categories part 1

We give a buttload of definitions for morphisms on various categories of complexes. The derived category of an abelian category is a category whose objects are cochain complexes and whose morphisms I describe in this video.

From playlist Derived Categories

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Geometric Deformations of Principally Polarized Abelian Schemes

Equicharacteristic Tangent Space of The Moduli Space of Principally Polarized Abelian Varieties

From playlist Deformation Theory

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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

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Joseph Silverman, Moduli problems and moduli spaces in algebraic dynamics

VaNTAGe seminar on June 23, 2020. License: CC-BY-NC-SA. Closed captions provided by Max Weinreich

From playlist Arithmetic dynamics

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Instability and stratifications of moduli problems in algebraic geometry - Daniel Halpern-Leistner

Daniel Halpern-Leistner Member, School of Mathematics September 23, 2014 More videos on http://video.ias.edu

From playlist Mathematics

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Homotopy of Character Varieties by Sean Lawton

Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio

From playlist Higgs Bundles

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Valentijn Karemaker, Mass formulae for supersingular abelian varieties

VaNTAGe seminar, Jan 18, 2022 License: CC-BY-NC-SA Links to some of the papers mentioned in this talk: Oort: https://link.springer.com/chapter/10.1007/978-3-0348-8303-0_13 Honda: https://doi.org/10.2969/jmsj/02010083 Tate: https://link.springer.com/article/10.1007/BF01404549 Tate: https

From playlist Curves and abelian varieties over finite fields

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Quantum representations and higher­-rank Prym varieties by Martens Johan

Higgs bundles URL: http://www.icts.res.in/program/hb2016 DATES: Monday 21 Mar, 2016 - Friday 01 Apr, 2016 VENUE : Madhava Lecture Hall, ICTS Bangalore DESCRIPTION: Higgs bundles arise as solutions to noncompact analog of the Yang-Mills equation. Hitchin showed that irreducible solutio

From playlist Higgs Bundles

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On the notion of λ-connection - Carlos Simpson

Geometry and Arithmetic: 61st Birthday of Pierre Deligne Carlos Simpson University of Nice October 18, 2005 Pierre Deligne, Professor Emeritus, School of Mathematics. On the occasion of the sixty-first birthday of Pierre Deligne, the School of Mathematics will be hosting a four-day confe

From playlist Pierre Deligne 61st Birthday

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Canonical lifts in families by James Borger

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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Nick Addington - Rational points and derived equivalence - WAGON

For smooth projective varieties over Q, is the existence of a rational point preserved under derived equivalence? First I'll discuss why this question is interesting, and what is known. Then I'll show that the answer is no, giving two counterexamples: an abelian variety and a torsor over i

From playlist WAGON

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Every Subgroup of an Abelian Group is Normal Proof

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Every Subgroup of an Abelian Group is Normal Proof

From playlist Abstract Algebra

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Complex varities with infinite Chow groups modulo 2 - Burt Totaro

Burt Totaro March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu

From playlist Mathematics

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Jim Bryan : Curve counting on abelian surfaces and threefolds

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Algebraic and Complex Geometry

Related pages

Scheme (mathematics) | Siegel modular variety | Upper half-plane | Hilbert scheme | Elliptic curve | Moduli stack of elliptic curves | GIT quotient | Schottky problem | Symplectic group | Algebraic variety | Moduli of algebraic curves | Siegel upper half-space