Modularity in Weight (1,1,...,1) via Overconvergent Hilbert Modular Forms - Payman Kassaei
Payman Kassaei March 29, 2012 For more videos, 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
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
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
Modular Functions | Modular Forms; Section 1.1
In this video we introduce the notion of modular functions. My Twitter: https://twitter.com/KristapsBalodi3 Intro (0:00) Weakly Modular Functions (2:10) Factor of Automorphy (8:58) Checking the Generators (15:04) The Nome Map (16:35) Modular Functions (22:10)
From playlist Modular Forms
p-adic modular forms - Christian Johansson
Short Talks by Postdoctoral Members Christian Johansson - September 29, 2015 http://www.math.ias.edu/calendar/event/88274/1443550500/1443551400 More videos on http://video.ias.edu
From playlist Short Talks by Postdoctoral Members
This lecture is part of an online graduate course on modular forms. We first show that the number of zeros of a (level 1 holomorphic) modular form in a fundamental domain is weight/12, and use this to show that the graded ring of modular forms is the ring of polynomials in E4 and E6. Fo
From playlist Modular forms
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
p-Adic Analytic Continuation of Genus 2 Overconvergent... - Yichao Tian
Yichao Tian Princeton University; Member, School of Mathematics March 17, 2011 A well known result of Coleman says that p-adic overconvergent (ellitpic) eigenforms of small slope are actually classical modular forms. Now consider an overconvergent p-adic Hilbert eigenform F for a totally r
From playlist Mathematics
Modular forms: Theta functions in higher dimensions
This lecture is part of an online graduate course on modular forms. We study theta functions of even unimodular lattices, such as the root lattice of the E8 exceptional Lie algebra. As examples we show that one cannot "her the shape of a drum", and calculate the number of minimal vectors
From playlist Modular forms
Overconvergent Igusa Tower and Overconvergent Modular Forms - Jacques Tilouine
Jacques Tilouine University de Paris 13 and Institut Universitaire de France April 7, 2011 GALOIS REPRESENTATIONS AND AUTOMORPHIC FORMS SEMINAR Note: (joint work with O. Brinon and A. Mokrane) For more videos, visit http://video.ias.edu
From playlist Mathematics
On the locally analytic vectors of the completed cohomology of modular curves - Lue Pan
Joint IAS/Princeton University Number Theory Seminar Topic: On the locally analytic vectors of the completed cohomology of modular curves Speaker: Lue Pan Affiliation: University of Chicago Date: October 22, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
The overconvergent Hodge-Tate map
O. Brinon (Université de Bordeaux) The overconvergent Hodge-Tate map Conférence de mi-parcours du programme ANR Théorie de Hodge p-adique et Développements (ThéHopaD) 25-27 septembre 2013 Centre de conférences Marilyn et James Simons IHÉS Bures / Yvette France
From playlist Conférence de mi-parcours du programme ANRThéorie de Hodge p-adique et Développements (ThéHopaD)25-27 septembre 2013
An overconvergent Eichler-Shimura map - Adrian Iovita
Adrian Iovita Corcordia University March 21, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
Multivariate (φ,Γ)-modules by Gergely Zábrádi
PROGRAM ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (HYBRID) ORGANIZERS: Ashay Burungale (CalTech/UT Austin, USA), Haruzo Hida (UCLA), Somnath Jha (IIT Kanpur) and Ye Tian (MCM, CAS) DATE: 08 August 2022 to 19 August 2022 VENUE: Ramanujan Lecture Hall and online The program pla
From playlist ELLIPTIC CURVES AND THE SPECIAL VALUES OF L-FUNCTIONS (2022)
Peter Scholze - Locally symmetric spaces, and Galois representations (4)
Lecture: Locally symmetric spaces, and Galois representations Speaker: Peter Scholze (The University of Bonn, Germany) Date: 25 Mar 2014, 11:30 AM Venue: AG 66, TIFR, Mumbai One of the most studied objects in mathematics is the modular curve, given as the locally symmetric space whic
From playlist Locally symmetric spaces, and Galois representations
Classicality of overconvergent modular symbols by Fabrizio Andreatta
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
Modular forms: Discriminant and E2
This lecture is part of an online graduate course on modular forms. We discuss the infinite product of the discriminant function and relate it to the fact that the Eisenstein series E2 is not quite a modular form. We then sketch Siegel's proof of the infinite product for the discriminant
From playlist Modular forms
