Numerical mathematics of quasicrystals – Pingwen Zhang – ICM2018
Numerical Analysis and Scientific Computing Invited Lecture 15.8 Numerical mathematics of quasicrystals Pingwen Zhang Abstract: Quasicrystals are one kind of fascinating aperiodic structures, and give a strong impact on material science, solid state chemistry, condensed matter physics an
From playlist Numerical Analysis and Scientific Computing
Jean Michel : Quasisemisimple classes
Abstract: This is a report on joint work with François Digne. Quasisemisimple elements are a generalisation of semisimple elements to disconnected reductive groups (or equivalently, to algebraic automorphisms of reductive groups). In the setting of reductive groups over an algebraically c
From playlist Lie Theory and Generalizations
Non-Euclidean geometry | Math History | NJ Wildberger
The development of non-Euclidean geometry is often presented as a high point of 19th century mathematics. The real story is more complicated, tinged with sadness, confusion and orthodoxy, that is reflected even the geometry studied today. The important insights of Gauss, Lobachevsky and Bo
From playlist MathHistory: A course in the History of Mathematics
Problems with the Calculus | Math History | NJ Wildberger
We discuss some of the controversy and debate generated by the 17th century work on Calculus. Newton and Leibniz's ideas were not universally accepted as making sense, despite the impressive, even spectacular achievements that the new theory was able to demonstrate. In this lecture we di
From playlist MathHistory: A course in the History of Mathematics
Introduction to Natural Quasirandomness: Unique Colorability and Order-ability - Leonardo Coregliano
Computer Science/Discrete Mathematics Seminar II Topic: Introduction to Natural Quasirandomness: Unique Colorability and Orderability Speaker: Leonardo Coregliano Affiliation: Member, School of Mathematics Date: November 08, 2022 The theory of graph quasirandomness studies sequences of g
From playlist Mathematics
A World of Pure Experience (By William James)
William James' wonderful 1904 essay "A World of Pure Experience" read by Carl Manchester and from LibriVox. The paper comes from William James' "Essays in Radical Empiricism", which was published posthumously in 1912. Note, this is a version of an upload from the previous channel. The audi
From playlist Philosophy of Mind
Paul GUNNELLS - Cohomology of arithmetic groups and number theory: geometric, ... 1
In this lecture series, the first part will be dedicated to cohomology of arithmetic groups of lower ranks (e.g., Bianchi groups), their associated geometric models (mainly from hyperbolic geometry) and connexion to number theory. The second part will deal with higher rank groups, mainly
From playlist École d'Été 2022 - Cohomology Geometry and Explicit Number Theory
The Mathematical Truth | Enrico Bombieri
Enrico Bombieri, Professor Emeritus, School of Mathematics, Institute for Advanced Study http://www.ias.edu/people/faculty-and-emeriti/bombieri October 29, 2010 In this lecture, Professor Enrico Bombieri attempts to give an idea of the numerous different notions of truth in mathematics.
From playlist Mathematics
Playing with triangles: a quasi-Pythagorean identity. I highlight a beautiful identity coming from geometry, which has to do with equilateral triangles and complex numbers. This has been inspired by a Tweet by Steven Strogatz from Cornell University. For this, we use Euler's formula and ro
From playlist Complex Analysis
HSC Science Extension Module 1 Empiricism and Scientific Inquiry
HSC Science Extension Module 1 Foundations of Scientific Thinking Empiricism and Scientific Inquiry Empiricism vs Rationalism
From playlist Y12 Sci Ex Mod 1 Foundations of Scientific Thinking
2 The Broader Philosophical Context - Kant's Critique of Pure Reason (Dan Robinson)
Dan Robinson gives the 2nd lecture in a series of 8 on Immanuel Kant's Critique of Pure Reason. All 8 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_OdgqNgL0AJX9-gwr4tmLw The significant advances in physics in the 17th century stood in vivid contrast to the stagnation of tr
From playlist Kant's Critique of Pure Reason - Dan Robinson
http://www.teachastronomy.com/ A lot of fundamental concepts in physics are based on the idea of symmetry. Symmetry is familiar to us in an aesthetic sense. It often means things that have pleasing proportion, or look the same from every direction, or have a harmonious nature about them.
From playlist 23. The Big Bang, Inflation, and General Cosmology 2
Locke, Berkeley, & Empiricism: Crash Course Philosophy #6
This week we answer skeptics like Descartes with empiricism. Hank explains John Locke’s primary and secondary qualities and why George Berkeley doesn’t think that distinction works -- leaving us with literally nothing but our minds, ideas, and perceptions. -- Images and video via VideoBl
From playlist Philosophy
The Two Silos: Literature, Science, and Agents of Overlap in Twenty-first-century Science Studies
The Franke Visiting Fellow Lecture with Steven Meyer, Washington University "The Two Silos: Literature, Science, and Agents of Overlap in Twenty-first-century Science Studies" Steven Meyer teaches English and American literature and modern intellectual history at Washington University in
From playlist Whitney Humanities Center
4 Synthetic A Priori Judgments - Kant's Critique of Pure Reason (Dan Robinson)
Dan Robinson gives the 4th lecture in a series of 8 on Immanuel Kant's Critique of Pure Reason. All 8 lectures: https://www.youtube.com/playlist?list=PLhP9EhPApKE_OdgqNgL0AJX9-gwr4tmLw Kant claims that, "our sense representation is not a representation of things in themselves, but of th
From playlist Kant's Critique of Pure Reason - Dan Robinson
Hyperbolic Geometry is Projective Relativistic Geometry (full lecture)
This is the full lecture of a seminar on a new way of thinking about Hyperbolic Geometry, basically viewing it as relativistic geometry projectivized, that I gave a few years ago at UNSW. We discuss three dimensional relativistic space and its quadratic/bilinear form, particularly the uppe
From playlist MathSeminars
Is Maths Discovered or Invented?
Tom Rocks Maths intern Kira Miller debates the age-old question of whether maths is discovered or invented by presenting the common arguments on each side. Arguments presented on the side of 'invented' include Formalism, Fictionalism, Art, and Social Construct. And in favour of 'discovere
From playlist Mathstars
Spinoza & Leibniz - Bryan Magee & Anthony Quinton (1987)
Bryan Magee and Anthony Quinton discuss the 17th-18th century philosophers Spinoza and Leibniz. Both were rationalists who developed elaborate philosophical systems out of only a few basic principles of reason, but ended up with quite different views. Spinoza was a monist and pantheist. He
From playlist Bryan Magee Interviews - The Great Philosophers (1987)
Mechanics and curves | Math History | NJ Wildberger
The laws of motion as set out by Newton built upon work of Oresme, Galileo and others on dynamics, and the relations between distance, velocity and acceleration in trajectories. With Newton's laws and the calculus, a whole new arena of practical and theoretical investigations opened up to
From playlist MathHistory: A course in the History of Mathematics
An evening with Stephen Fry and Venki Ramakrishnan | The Royal Society
Stephen Fry joins Nobel Prize-winning biologist Venki Ramakrishnan to discuss one of the most crucial topics in the modern world. The very nature of science is to establish truth about the world around us, from groundbreaking new discoveries, like the Higgs boson, gravitational waves or t
From playlist Popular talks and lectures