Arithmetic and geometry of Picard modular surfaces - Dinakar Ramakrishnan
Joint IAS/Princeton University Number Theory Seminar Title: Arithmetic and geometry of Picard modular surfaces Speaker: Dinakar Ramakrishnan Affiliation: California Institute of Technology; Visitor, School of Mathematics Date: December 8, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Modular Forms | Modular Forms; Section 1 2
We define modular forms, and borrow an idea from representation theory to construct some examples. My Twitter: https://twitter.com/KristapsBalodi3 Fourier Theory (0:00) Definition of Modular Forms (8:02) In Search of Modularity (11:38) The Eisenstein Series (18:25)
From playlist Modular Forms
Genus of abstract modular curves with level ℓℓ structure - Ana Cadoret
Ana Cadoret Ecole Polytechnique; Member, School of Mathematics November 21, 2013 To any bounded family of 𝔽ℓFℓ-linear representations of the etale fundamental of a curve XX one can associate families of abstract modular curves which, in this setting, generalize the `usual' modular curves w
From playlist Mathematics
This lecture is part of an online graduate course on modular forms. We introduce modular forms, and give several examples of how they were used to solve problems in apparently unrelated areas of mathematics. I will not be following any particular book, but if anyone wants a suggestion
From playlist Modular forms
Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces
VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 1) by Ron Donagi
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Frank Gounelas : Rational curves on K3 surfaces
Bogomolov and Mumford proved that every complex projective K3 surface contains a rational curve. Since then, a lot of progress has been made by Bogomolov, Chen, Hassett, Li, Liedtke, Tschinkel and others, towards the stronger statement that any such surface in fact contains infinitely many
From playlist Algebraic and Complex Geometry
Tony Varilly Alvarado, Descent on K3 surfaces: Brauer group computations and challenges
VaNTAGe seminar March 23, 2021 License: CC-BY-NC-SA
From playlist Arithmetic of K3 Surfaces
Exceptional jumps of Picard rank of K3 surfaces over number fields - Salim Tayou
Joint IAS/Princeton University Number Theory Seminar Topic: Exceptional jumps of Picard rank of K3 surfaces over number fields Speaker: Salim Tayou Affiliation: Member, School of Mathematics Date: February 18, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
Ananth Shankar, Picard ranks of K3 surfaces and the Hecke orbit conjecture
VaNTAGe Seminar, November 23, 2021
From playlist Complex multiplication and reduction of curves and abelian varieties
Pierre Parent: Stable models for modular curves in prime level
Abstract: We describe stable models for modular curves associated with all maximal subgroups in prime level, including in particular the new case of non-split Cartan curves. Joint work with Bas Edixhoven. Recording during the meeting "Diophantine Geometry" the May 24, 2018 at the Centre
From playlist Algebraic and Complex Geometry
Classification of obstructed bundles over a very general sextic surface and... by Sarbeswar Pal
DISCUSSION MEETING : MODULI OF BUNDLES AND RELATED STRUCTURES ORGANIZERS : Rukmini Dey and Pranav Pandit DATE : 10 February 2020 to 14 February 2020 VENUE : Ramanujan Lecture Hall, ICTS, Bangalore Background: At its core, much of mathematics is concerned with the problem of classif
From playlist Moduli Of Bundles And Related Structures 2020
Modular forms: Modular functions
This lecture is part of an online graduate course on modular forms. We classify all meromorphic modular functions, showing that they are all rational functions of the elliptic modular function j. As an application of j we use it to prove Picard's theorem that a non-constant meromorphic
From playlist Modular forms
Yuri Tschinkel - On the arithmetic of K3 surfaces
Yuri TSCHINKEL (Courant Institute & Simons Foundation, New York, USA)
From playlist Algèbre, Géométrie et Physique : une conférence en l'honneur
Chow rings and modified diagonals - Kieran O'Grady
Kieran O'Grady Sapienza - Università di Roma; Member, School of Mathematics October 7, 2014 Beauville and Voisin proved that decomposable cycles (intersections of divisors) on a projective K3 surface span a 1-dimensional subspace of the (infinite-dimensional) group of 0-cycles modulo rati
From playlist Mathematics
On The Work Of Narasimhan and Seshadri (Lecture 3) by Edward Witten
Program Quantum Fields, Geometry and Representation Theory 2021 (ONLINE) ORGANIZERS: Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pandi
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Modular forms: Eisenstein series
This lecture is part of an online graduate course on modular forms. We give two ways of looking at modular forms: as functions of lattices in C, or as invariant forms. We use this to give two different ways of constructing Eisenstein series. For the other lectures in the course see http
From playlist Modular forms