In mathematics, the von Mangoldt function is an arithmetic function named after German mathematician Hans von Mangoldt. It is an example of an important arithmetic function that is neither multiplicative nor additive. (Wikipedia).
A PRG for Gaussian Polynomial Threshold Functions - Daniel Kane
Daniel Kane Harvard University March 15, 2011 We define a polynomial threshold function to be a function of the form f(x) = sgn(p(x)) for p a polynomial. We discuss some recent techniques for dealing with polynomial threshold functions, particular when evaluated on random Gaussians. We sho
From playlist Mathematics
Gowers Uniformity of Arithmetic Functions in Short Intervals - Joni Teräväinen
Workshop on Dynamics, Discrete Analysis and Multiplicative Number Theory Topic: Gowers Uniformity of Arithmetic Functions in Short Intervals Speaker: Joni Teräväinen Affiliation: Von Neumann Fellow, School of Mathematics Date: March 02, 2023 I will present results establishing cancellati
From playlist Mathematics
Monodromy of nFn−1 hypergeometric functions and arithmetic groups II - Venkataramana
Speaker: T. N. Venkataramana (TIFR) Title: Monodromy of nFn−1 hypergeometric functions and arithmetic groups II We describe results of Levelt and Beukers-Heckman on the explicit computation of monodromy for generalised hypergeometric functions of one variable. We then discuss the question
From playlist Mathematics
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 1
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Definition of a Surjective Function and a Function that is NOT Surjective
We define what it means for a function to be surjective and explain the intuition behind the definition. We then do an example where we show a function is not surjective. Surjective functions are also called onto functions. Useful Math Supplies https://amzn.to/3Y5TGcv My Recording Gear ht
From playlist Injective, Surjective, and Bijective Functions
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 2
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 6
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
8ECM Invited Lecture: Stuart White
From playlist 8ECM Invited Lectures
Maxim Kazarian - 1/3 Mathematical Physics of Hurwitz numbers
Hurwitz numbers enumerate ramified coverings of a sphere. Equivalently, they can be expressed in terms of combinatorics of the symmetric group; they enumerate factorizations of permutations as products of transpositions. It turns out that these numbers obey a huge num
From playlist Physique mathématique des nombres de Hurwitz pour débutants
Computation Layer Webinar: It's a Graph Party!
Make an activity with Team Desmos! The Desmos graph team joins to show us how to integrate graphs and code in order to drive powerful feedback. As you explore, you will have the opportunity to construct a short activity to take with you.
From playlist Computation Layer
Jesse Peterson: Von Neumann algebras and lattices in higher-rank groups, Lecture 1
Mini course of the conference YMC*A, August 2021, University of Münster. Lecture 1: Background on von Neumann algebras. Abstract: We’ll briskly review basic properties of semi-finite von Neumann algebras. The standard representation, completely positive maps, group von Neumann algebras, th
From playlist YMC*A 2021
Rigidity for von Neumann algebras – Adrian Ioana – ICM2018
Analysis and Operator Algebras Invited Lecture 8.5 Rigidity for von Neumann algebras Adrian Ioana Abstract: We survey some of the progress made recently in the classification of von Neumann algebras arising from countable groups and their measure preserving actions on probability spaces.
From playlist Analysis & Operator Algebras
Flow Around a Cylinder | Deep Dive Maths
The fluid flow around an infinite cylinder has a simple geometry. An understanding of this flow can yield insights into the flow fields surrounding airplanes, submarines, buildings and bridges. What is the history of this problem? What do the steady solutions look like and how do the s
From playlist Deep Dive Maths
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 3
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Lara Ismert: "Heisenberg Pairs on Hilbert C*-modules"
Actions of Tensor Categories on C*-algebras 2021 "Heisenberg Pairs on Hilbert C*-modules" Lara Ismert - Embry-Riddle Aeronautical University, Mathematics Abstract: Roughly speaking, a Heisenberg pair on a Hilbert space is a pair of self-adjoint operators (A,B) which satisfy the Heisenber
From playlist Actions of Tensor Categories on C*-algebras 2021
Mathematik für alle - in Zeiten von Corona, Folge 5: Was Mathematik NICHT zu Corona sagen kann
Was Sie schon immer über Mathematik wissen wollten, aber nie zu fragen wagten Nicht nur die Virologie, auch die Mathematik ist derzeit in aller Munde. Es wird von linearem und exponentiellem Wachstum gesprochen, von dynamischen Systemen, von Statistiken und Korrelationen, validen Testverf
From playlist Mathematik für alle - in Zeiten von Corona
Roland Speicher: Free probability theory - Lecture 1
Mini course of the conference "Noncommutative geometry meets topological recursion", August 2021, University of Münster. Abstract: Usual free probability theory was introduced by Voiculescu in the context of operator algebras. It turned out that there exists also a relation to random matri
From playlist Noncommutative geometry meets topological recursion 2021
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 5
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications
Verleihung der Alexander von Humboldt-Professuren (Livestream am 12. Mai 2022, 19 Uhr)
Deutschlands höchstdotierte internationale Forschungspreise werden 2022 wieder in Präsenz verliehen. Die Veranstaltung wird im Livestream übertragen. Die Alexander von Humboldt-Professur holt internationale Spitzenforscher*innen an deutsche Universitäten. Der Preis bietet mit bis zu fünf
From playlist Mathematics Münster News
Ling Long - Hypergeometric Functions, Character Sums and Applications - Lecture 4
Title: Hypergeometric Functions, Character Sums and Applications Speaker: Prof. Ling Long, Louisiana State University Abstract: Hypergeometric functions form a class of special functions satisfying a lot of symmetries. They are closely related to the arithmetic of one-parameter families of
From playlist Hypergeometric Functions, Character Sums and Applications