What is...group-based cryptography?

Goal. I would like to tell you a bit about my favorite subfields of mathematics (in no particular order), highlighting key theorems, ideas or concepts and why I like them so much. This is a variation of “My favorite theorems” and I park the videos on that list as well. This time. What is...group-based cryptography? Or: Subfields of mathematics 25. Disclaimer. Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references. Slides. http://www.dtubbenhauer.com/youtube.html TeX files for the presentation. https://github.com/dtubbenhauer/My-TeX-files Thumbnail. Picture from https://www.youtube.com/watch?v=MI9WD3LydXs Main discussion. https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange https://en.wikipedia.org/wiki/Braid_group Background material. https://en.wikipedia.org/wiki/End-to-end_encryption https://www.gbnews.ch/what-is-end-to-end-encryption-e2ee/ https://en.wikipedia.org/wiki/Key_(cryptography) https://en.wikipedia.org/wiki/Key_exchange https://en.wikipedia.org/wiki/Discrete_logarithm https://www.iacr.org/archive/crypto2000/18800166/18800166.pdf https://en.wikipedia.org/wiki/Public-key_cryptography#Examples https://en.wikipedia.org/wiki/Elliptic-curve_Diffie%E2%80%93Hellman https://en.wikipedia.org/wiki/RSA_(cryptosystem) https://en.wikipedia.org/wiki/Cramer%E2%80%93Shoup_cryptosystem https://en.wikipedia.org/wiki/ElGamal_encryption Computer talk. https://demonstrations.wolfram.com/StrongRSACryptosystem/ https://demonstrations.wolfram.com/RSAEncryptionAndDecryption/ https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange#/media/File:Diffie-Hellman_Key_Exchange.svg Pictures used. https://en.wikipedia.org/wiki/Diffie%E2%80%93Hellman_key_exchange#/media/File:Diffie-Hellman_Key_Exchange.svg Picture from https://www.youtube.com/watch?v=MI9WD3LydXs Another picture from https://www.youtube.com/watch?v=MI9WD3LydXs Picture from https://www.youtube.com/watch?v=DSU7jmaVVjY A variation of https://en.wikipedia.org/wiki/Semigroup#/media/File:Magma_to_group4.svg YouTube and co. https://www.youtube.com/watch?v=NmM9HA2MQGI https://www.youtube.com/watch?v=pa4osob1XOk https://www.youtube.com/watch?v=YEBfamv-_do https://www.youtube.com/watch?v=MI9WD3LydXs (Shameful selfpromotion) #crypthography #grouptheory #mathematics