Wednesday May 9th, Tai-Danae Bradley and I are giving talks on entropy and category theory.
Her talk will dig into the consequences of an amazing fact: the function at the heart of entropy, namely
d(x) = -x ln x ,
obeys a version of the product rule!
You can watch our talks on Zoom if you register: follow the directions here. Or watch them later - they'll be recorded.
Then on Friday there will be a bunch more talks on entropy and categories!
You can see them live if you're in New York.
Using the product rule for d(x) = - x ln x, Tai-Danae showed that Shannon entropy is a topological operad derivation.
Perhaps now you're thinking, "Huh?" 🤔
But luckily she's great at explaining things. So read her blog article!
Or maybe you're thinking "This is the kind of math I like!" Then take a look at her paper.
She defines derivations of operads, and shows entropy is a derivation of the operad whose space of n-ary operations is the (n-1)-simplex!
I meant to say that Tai-Danae are talking on Wednesday May 𝟭𝟭𝘁𝗵. All schedule details, and how to register, are here:
I meant to say that Tai-Danae and are talking on Wednesday May 𝟭𝟭𝘁𝗵. All schedule details, and how to register, are here:
I meant to say that Tai-Danae and I are talking on Wednesday May 𝟭𝟭𝘁𝗵. All schedule details, and how to register, are here:
That is fascinating! Ever since I read Penrose as as kid I have been wondering wether there is a deeper meaning to entropy. Well, the plot thickens! It is much more than a statistical effect which appears in a gas of colliding particles. It has structure and that makes it appear in a lot of other places!
Finding out about the nature of entropy helps us understand structure formation, even time itself! It's so cool to see derivations pop out, a close relative of derivatives!
@RefurioAnachro - The universe still holds many mysteries. I don't think we've gotten to the bottom of this one yet, but I think we'll make a lot of progress pretty soon.
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