What is Geometry? How and Why I Explore This
Channel: Math 4 Wisdom
Date: 2023-12-10

What is geometry? I present several dozen ways to investigate this question as well as my own personal motivation.  My preliminary answer is that geometry is the uniformity of choice.  My hypothesis is that there are four cognitively basic geometries (affine, projective, conformal, symplectic) and that they are defined by the four classical families of Lie groups.  I hope that my study of geometry will yield intuition on orthogonal, unitary and symplectic groups and their role in Bott periodicity.

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