• Daniel Ruberman: Mathematics, Topology and Manifolds #5

  • Jun 25 2024
  • Length: 2 hrs and 4 mins
  • Podcast

Daniel Ruberman: Mathematics, Topology and Manifolds #5

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  • Summary

  • Here is a conversation I've had with Daniel Ruberman, Professor of Mathematics.

    Daniel's website: https://people.brandeis.edu/~ruberman/

    Find Back to the Stone Age on:

    • YouTube: https://youtube.com/playlist?list=PLZrhMJ5eusE_ACw6Ec3TqCbvDVZ6HP809&si=WhVnrLLAUuYW-Any
    • Spotify: https://open.spotify.com/show/3pT8MUeR8bskcsuu8gmUGK
    • Apple Podcast: https://podcasts.apple.com/us/podcast/back-to-the-stone-age/id1741219288

    Outline

    00:16 - Is math invented or discovered?

    05:30 - Mathematics and the physical world

    28:02 - Topology

    38:00 - Manifolds and smooth manifolds

    52:31 - Higher dimensions and low-dimensional topology

    01:04:39 - Intuition about 4th dimension

    01:24:01 - Gauge theories

    01:38:02 - Knots and manifolds

    01:44:33 - Applications of knot theory and topology

    01:50:28 - Infinity

    01:56:38 - Final thoughts

    Enjoy Back to the Stone Age!
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