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
The Picard group of the stable module category of a finite group - Jesper Grodal
Virtual Workshop on Recent Developments in Geometric Representation Theory Topic: The Picard group of the stable module category of a finite group Speaker: Jesper Grodal Affiliation: University of Copenhagen; Member, School of Mathematics Date: November 17, 2020 For more video please vis
From playlist Virtual Workshop on Recent Developments in Geometric Representation Theory
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
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
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
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
Admissible Representations of a Connected Reductive P-Adic Groups....by Marie Vigneras
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)
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
Schemes 38: Comparison of Cartier divisors and Pic
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In this lecture we Define a homomorphism from Caritier divisor classes to the Picard group, and show that it is an isomorphism for integral schemes. We use thi
From playlist Algebraic geometry II: Schemes
New developments in the theory of modular forms... - 9 November 2018
http://crm.sns.it/event/416/ New developments in the theory of modular forms over function fields The theory of modular forms goes back to the 19th century, and has since become one of the cornerstones of modern number theory. Historically, modular forms were first defined and studied ov
From playlist Centro di Ricerca Matematica Ennio De Giorgi
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
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)
Equivariant Eisenstein Classes, Critical Values of Hecke L-Functions.... by Guido Kings
Program Recent developments around p-adic modular forms (ONLINE) ORGANIZERS: Debargha Banerjee (IISER Pune, India) and Denis Benois (University of Bordeaux, France) DATE: 30 November 2020 to 04 December 2020 VENUE: Online This is a follow up of the conference organized last year arou
From playlist Recent Developments Around P-adic Modular Forms (Online)