The integers have TWO KINDS of multiplications (OR MORE??) скачать в хорошем качестве

The integers have TWO KINDS of multiplications (OR MORE??)

We've all known about integer multiplication since grade school... but when did you learn about the second multiplication? __________ Errata (Inevitable, as always): 14:39 - Embarrassing, but this "braiding" doesn't define a braiding on superspaces. The example goes through no problem in Z-graded spaces (which is where my mind was at when writing it down), but superspaces are (Z/2Z)-graded, and the braiding does not descend. Thanks to ‪@NoLongerBreathedIn‬ for pointing this out! (FYI: the symmetric braiding in 15:56 is perfectly fine, which is the more meaningful tensor product anyway) __________ Timestamps: 00:00 - Intro 01:24 - What is multiplication? 03:00 - How can we have two of them? 04:36 - Topology :))) 06:42 - Increasing the dimension somehow 08:09 - Categorification :))) 10:07 - Super example 12:07 - How to braid 15:10 - Susy 16:08 - Syllepsis 17:40 - Infinitely many multiplications 18:47 - Thx 4 watching!