Is the Universe Geometric or Algebraic? by Minhyong Kim
Offered By: International Centre for Theoretical Sciences via YouTube
Course Description
Overview
Syllabus
DATE: 21 December 2018, 15:00 to
Is the Universe Geometric or Algebraic?
Platonic solids
Pythagoras: All is number
1. Perception
A Puzzle
Shapes and Numbers
Computer Vision
'The Mind's New Science: a History of the Cognitive Revolution' by Howard Gardner
ll. Reality
Number or Shape?
lll. Some numbers in nature
Points on a line
Points in the plane
Complex numbers
Question
Geometric algebra or Grassmann algebra
V. Number and shape in the 19th century II: Clifford
Clifford algebra
Clifford on space and gravity
Clifford on number and shape
VI. Some elaboration on microscopic numbers
Addition of particles
Schroedinger's Cat
Inspiration + Perspiration
Multiplication of particles
So why is this operation multiplication?
VII. Arithmetic Geometry
From Numbers to Shapes
Numbers - Shapes
Is the universe number or shape?
Nima Arkani-Hamed
Taught by
International Centre for Theoretical Sciences
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