Richard Taylor "Reciprocity Laws" [2012]
Slides for this talk: https://drive.google.com/file/d/1cIDu5G8CTaEctU5qAKTYlEOIHztL1uzB/view?usp=sharing Richard Taylor "Reciprocity Laws" Abstract: Reciprocity laws provide a rule to count the number of solutions to a fixed polynomial equation, or system of polynomial equations, modu
From playlist Number Theory
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Evaluating Recurrence Relations (1 of 4: When do you apply Recurrence Relations?)
More resources available at www.misterwootube.com
From playlist Further Integration
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Simplifying rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
Primes and Equations | Richard Taylor
Richard Taylor, Professor, School of Mathematics, Institute for Advanced Study http://www.ias.edu/people/faculty-and-emeriti/taylor One of the oldest subjects in mathematics is the study of Diophantine equations, i.e., the study of whole number (or fractional) solutions to polynomial equ
From playlist Mathematics
Dividing two rational expressions by factoring
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Simplifying a rational expression with a trinomial
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions
A Spirit of Trust: Magnanimity and Agency in Hegel’s Phenomenology
Robert Brandom is Distinguished Professor of Philosophy and Fellow at the Center for Philosophy of Science at the University of Pittsburgh. He is the author of thirteen books, including Making It Explicit: Reasoning, Representing, and Discursive Commitment. His most recent book, A Spirit o
From playlist Franke Lectures in the Humanities
Fields Medal Lecture: Cohomology of arithmetic groups — Akshay Venkatesh — ICM2018
Cohomology of arithmetic groups Akshay Venkatesh Abstract: The topology of “arithmetic manifolds”, such as the space of lattices in Rn modulo rotations, encodes subtle arithmetic features of algebraic varieties. In some cases, this can be explained because the arithmetic manifold itself c
From playlist Special / Prizes Lectures
Minhyong Kim: Recent progress on the effective Mordell problem
SMRI Algebra and Geometry Online: Minhyong Kim (University of Warwick) Abstract: In 1983, Gerd Faltings proved the Mordell conjecture stating that curves of genus at least two have only finitely many rational points. This can be understood as the statement that most polynomial equations
From playlist SMRI Algebra and Geometry Online
8ECM EMS Prize Lecture: Ana Caraiani
From playlist 8ECM EMS Prize Lectures
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Panorama of Mathematics: Peter Scholze
Panorama of Mathematics To celebrate the tenth year of successful progression of our cluster of excellence we organized the conference "Panorama of Mathematics" from October 21-23, 2015. It outlined new trends, results, and challenges in mathematical sciences. Peter Scholze: "Locally sym
From playlist Panorama of Mathematics
"What is the Riemann Hypothesis and why does it matter?" by Ken Ono
The Riemann hypothesis provides insights into the distribution of prime numbers, stating that the nontrivial zeros of the Riemann zeta function have a “real part” of one-half. A proof of the hypothesis would be world news and fetch a $1 million Millennium Prize. In this lecture, Ken Ono wi
From playlist Number Theory Research Unit at CAMS - AUB
Potential automorphy of Ĝ-local systems – Jack Thorne – ICM2018
Number Theory Invited Lecture 3.12 Potential automorphy of Ĝ-local systems Jack Thorne Abstract: Vincent Lafforgue has recently made a spectacular breakthrough in the setting of the global Langlands correspondence for global fields of positive characteristic, by constructing the ‘automor
From playlist Number Theory
Divide two rational expressions by simplifying
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the fraction. The same rule applies when we want to divide by a r
From playlist How to Divide Rational Expressions #Rational
Factoring out the GCF to simplify the rational expression
Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational
From playlist Simplify Rational Expressions (Binomials) #Rational
