Geometry of Shimura varieties - Rong Zhou
Short talks by postdoctoral members Topic: Geometry of Shimura varieties Speaker: Rong Zhou Affiliation: Member, School of Mathematics Date: October 6, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
“Computational methods for modular and Shimura curves,” by John Voight (Part 7 of 8)
“Computational methods for modular and Shimura curves,” by John Voight (Dartmouth College). The classical method of modular symbols on modular curves is introduced to compute the action of the Hecke algebra and corresponding spaces of modular forms. Generalizations to Shimura curves will t
From playlist CTNT 2016 - “Computational methods for modular and Shimura curves" by John Voight
“Computational methods for modular and Shimura curves,” by John Voight (Part 6 of 8)
“Computational methods for modular and Shimura curves,” by John Voight (Dartmouth College). The classical method of modular symbols on modular curves is introduced to compute the action of the Hecke algebra and corresponding spaces of modular forms. Generalizations to Shimura curves will t
From playlist CTNT 2016 - “Computational methods for modular and Shimura curves" by John Voight
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VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
“Computational methods for modular and Shimura curves,” by John Voight (Part 8 of 8)
“Computational methods for modular and Shimura curves,” by John Voight (Dartmouth College). The classical method of modular symbols on modular curves is introduced to compute the action of the Hecke algebra and corresponding spaces of modular forms. Generalizations to Shimura curves will t
From playlist CTNT 2016 - “Computational methods for modular and Shimura curves" by John Voight
“Computational methods for modular and Shimura curves,” by John Voight (Part 3 of 8)
“Computational methods for modular and Shimura curves,” by John Voight (Dartmouth College). The classical method of modular symbols on modular curves is introduced to compute the action of the Hecke algebra and corresponding spaces of modular forms. Generalizations to Shimura curves will t
From playlist CTNT 2016 - “Computational methods for modular and Shimura curves" by John Voight
Hodge theory and algebraic cycles - Phillip Griffiths
Geometry and Arithmetic: 61st Birthday of Pierre Deligne Phillip Griffiths Institute for Advanced Study 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 f
From playlist Pierre Deligne 61st Birthday
“Computational methods for modular and Shimura curves,” by John Voight (Part 4 of 8)
“Computational methods for modular and Shimura curves,” by John Voight (Dartmouth College). The classical method of modular symbols on modular curves is introduced to compute the action of the Hecke algebra and corresponding spaces of modular forms. Generalizations to Shimura curves will t
From playlist CTNT 2016 - “Computational methods for modular and Shimura curves" by John Voight
VaNTAGe seminar, on Sep 15, 2020 License: CC-BY-NC-SA.
From playlist Rational points on elliptic curves
On the Shioda Conjecture for Diagonal Protective Varieties over Finite Fields
Speakers Ben Church Chunying Huangdai Matthew Lerner-Brecher Navtej Singh Ming Jing Topics discussed Definitions and motivation, Examples over R, Examples, Uni-rationality and Rationality, The Zeta Function, The Weil Conjectures, Super-singularity, Shioda's Conjecture, Results, Code/Empi
From playlist 2018 Summer REU Presentations
“Computational methods for modular and Shimura curves,” by John Voight (Part 1 of 8)
“Computational methods for modular and Shimura curves,” by John Voight (Dartmouth College). The classical method of modular symbols on modular curves is introduced to compute the action of the Hecke algebra and corresponding spaces of modular forms. Generalizations to Shimura curves will t
From playlist CTNT 2016 - “Computational methods for modular and Shimura curves" by John Voight
François Charles - K3 surfaces over finite fields : insights from complex geometry
We will describe how insights from the geometry of complex analytic K3 surfaces can be applied to the proofs of Tate and Shioda's conjectures for K3 surfaces over finite fields. September 23, 2015
From playlist A conference in honor of Arthur Ogus on the occasion of his 70th birthday
Kiran Kedlaya, The Sato-Tate conjecture and its generalizations
VaNTAGe seminar on March 24, 2020 License: CC-BY-NC-SA Closed captions provided by Jun Bo Lau.
From playlist The Sato-Tate conjecture for abelian varieties
Tomohide Terasoma: Period integrals of open Fermat surfaces and special values of hypergeometric
The lecture was held within the framework of the Hausdorff Trimester Program: Periods in Number Theory, Algebraic Geometry and Physics. Abstract: With Asakura and Otsubo, we prove that the special values of the hypergeometric function at one can be expressed as a linear combination of log
From playlist Workshop: "Periods and Regulators"
Edgar Costa, From counting points to rational curves on K3 surfaces
VaNTAGe Seminar, Jan 26, 2021
From playlist Arithmetic of K3 Surfaces
“Computational methods for modular and Shimura curves,” by John Voight (Part 2 of 8)
“Computational methods for modular and Shimura curves,” by John Voight (Dartmouth College). The classical method of modular symbols on modular curves is introduced to compute the action of the Hecke algebra and corresponding spaces of modular forms. Generalizations to Shimura curves will t
From playlist CTNT 2016 - “Computational methods for modular and Shimura curves" by John Voight
J. Bruinier et J. Ignacio Burgos Gil - Arakelov theory on Shimura varieties (part2)
A Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. Shimura varieties have a very rich geometric and arithmetic structure. For instance they ar
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes
Hideo Kozono: L r -Helmholtz-Weyl decomposition in 3D exterior domains
Recording during the meeting "Evolution Equations: Applied and Abstract Perspectives" the October 28, 2019 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM'
From playlist Partial Differential Equations
Bjorn Poonen, Heuristics for the arithmetic of elliptic curves
VaNTAGe seminar on Sep 1, 2020. License: CC-BY-NC-SA. Closed captions provided by Brian Reinhart.
From playlist Rational points on elliptic curves
J. Bruinier et J. Ignacio Burgos Gil - Arakelov theory on Shimura varieties (part1)
A Shimura variety is a higher-dimensional analogue of a modular curve that arises as a quotient of a Hermitian symmetric space by a congruence subgroup of a reductive algebraic group defined over Q. Shimura varieties have a very rich geometric and arithmetic structure. For instance they ar
From playlist Ecole d'été 2017 - Géométrie d'Arakelov et applications diophantiennes