Bounds on Maass spectra from holomorphic forms - Dalimil Mazac
Mathematical Physics Seminar Topic: Bounds on Maass spectra from holomorphic forms Speaker: Dalimil Mazac Affiliation: Member, School of Natural Sciences Date: March 02, 2022 I will discuss new constraints on the spectra of Maass forms on compact hyperbolic 2-orbifolds. The constraints a
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
Nodal Lines of Maass Forms and Critical Percolation - Peter Sarnak
Peter Sarnak Institute for Advanced Study March 20, 2012 We describe some results concerning the number of connected components of nodal lines of high frequency Maass forms on the modular surface. Based on heuristics connecting these to a critical percolation model, Bogomolny and Schmit ha
From playlist Mathematics
C67 The physics of simple harmonic motion
See how the graphs of simple harmonic motion changes with changes in mass, the spring constant and the values correlating to the initial conditions (amplitude)
From playlist Differential Equations
Lecture 1: Roal and Harmonic Analysis by Prof. Thiele
Lecture Series
From playlist Lecture Recordings
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
Sander Zwegers: Fourier coefficients of meromorphic Jacobi forms
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 SPECIAL 7th European congress of Mathematics Berlin 2016.
Nodal domains for Maass forms - Peter Sarnak
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Nodal domains for Maass forms Speaker: Peter Sarnak Affiliation: Professor, School of Mathematics Date: March 9, 2018 For more videos, please visit http://video.ias.edu
From playlist Mathematics
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
Claudia Alfes: Traces of CM values and geodesic cycle integrals of modular functions
In this talk we give an introduction to the study of generating series of the traces of CM values and geodesic cycle integrals of different modular functions. First we define modular forms and harmonic Maass forms. Then we briefly discuss the theory of theta lifts that gives a conceptual f
From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"
Dyson's Rank, Harmonic Weak Maass Form, and Recent Developments - Kathrin Bringmann
Kathrin Bringmann University of Cologne September 27, 2013 More videos on http://video.ias.edu
From playlist Dreams of Earth and Sky
Alternate Forms for Simple Harmonic Motion (Example 1 of 2)
More resources available at www.misterwootube.com
From playlist Applications of Calculus to Mechanics
Niebur Integrals and Mock Automorphic Forms - Wladimir de Azevedo Pribitkin
Wladimir de Azevedo Pribitkin College of Staten Island, CUNY March 17, 2011 Among the bounty of brilliancies bequeathed to humanity by Srinivasa Ramanujan, the circle method and the notion of mock theta functions strike wonder and spark intrigue in number theorists fresh and seasoned alike
From playlist Mathematics
The Generalized Ramanujan Conjectures and Applications (Lecture 4) by Peter Sarnak
Lecture 4 : "Nodal lines of Maass Forms and Critical Percolation" Abstract : We describe some results concerning the number of connected components of nodal lines of high frequency Maass forms on the modular surface. Based on heuristics connecting these to an exactly solvable critical per
From playlist Generalized Ramanujan Conjectures Applications by Peter Sarnak
Bootstrapping Automorphic Spectra - Dalimil Mazac
IAS Physics Group Meeting Topic: Bootstrapping Automorphic Spectra Speaker: Dalimil Mazac Affiliation: Member, School of Natural Sciences, IAS Date: November 10, 2021 I will explain how the conformal bootstrap can be adapted to place rigorous bounds on the spectra of automorphic forms o
From playlist Natural Sciences
B04 Example problem of simple harmonic oscillation
Solving an example problem of simple harmonic oscillation, which requires calculating the solution to a second order ordinary differential equation.
From playlist Physics ONE
A Survey of Lower Bounds for the Resolution Proof System - Avi Wigderson
Avi Wigderson Herbert H. Maass Professor, School of Mathematics, Institute for Advanced Study January 31, 2012 The Resolution proof system is among the most basic and popular for proving propositional tautologies, and underlies many of the automated theorem proving systems in use today. I'
From playlist Mathematics