Daniel Tubbenhauer on Diagrammatic Algebra and Quantum Topology

That swap-map diagram is just composition of permutations, I think. Every permutation can be decomposed into a chain of swaps.

Quantum Topology and the Jones Polynomial:

See Wikipedia on Quantum topology.

Subscribe to Visual Maths.

These diagrams all seem to involve some sort of process of building up processes from primitive processes, ... that reminded me of Girard's Proof Nets in Linear Logic, ... Then I started watching Voevodsky's lecture on Type Systems from Vladimir Voevodsky - An Intuitive Introduction to Motivic Homotopy Theory where he talks about type systems over finitary monads on sets.


17:33 It seems I'm not the only one that doesn't have a fucking clue what he is talking about! 23:55 Bob Harper was in the audience, apparently. So it sounds like that was a Categorical semantics for the type system, which type system he then tried to define using a set of inference rules, but got a bit bogged down with the type of Types, which are usually called Kinds.

So maybe the next two lectures are a bit more clear:

Type Systems I (November 28, 2012)

Alpha equivalence is a quotient inducing an invariant under permutations of the bound variables. See Daniel's video above about diagrammatic algebra.

Type Systems II (December 5, 2012)

Isn't great to see how intelligent people can work together on something? Why is this so rare?

Subscribe to IAS.

Jessica Chastain really liked the part she played she played in this:

Subscribe to Anapurna.

If she felt like the character Jodie Foster plays in Silence of the Lambs, then who the hell am I in this movie?

They're all gross!

Here's me talking about intuitionistic and classical logic with some bats!



Comments

Post a Comment

Popular posts from this blog

Live Science - Leonardo da Vinci's Ancestry

Image
... and his posterity too? See  On Communication in Linear Time And Hypertext And The Gospel of Sophia . So it looks like El Cielo of the cistine [sic!😂] chapel is not the limit anymore.  I think I just met one of his descendents. A guy called Versailles Toledo who is from Chiapas. That might explain the murals I mention in my recent untitled post , just before the post mentioning this video. I also just took this photo of Rafael Gonzales, born here in Tecate, B.C., who told me about a spring near here called Agua Fría , half way from Tecate to Loma Tova , where, a few decades ago, people used to go to have barbecues and stuff, but now he thinks it may be private land. If someone reading this has a Facebook account, please write a link to this post onto his FB page. To see why I took the photo, look at his T-shirt and the horse-shoes and ponder this: Subscribe to BeatrizER and her video(s?) about mathematical logic, ... Sounds like Edith (II) Rix has been online all the t...
Read more

David Turner Obituary by Sarah Nicholas Fri 24 Nov 2023

Image
This was in The Guardian: David Turner obituary , only eight days after I posted  David Turner Talking About Sixty Years of Functional Programming History : This talk was given in London in 2017: See  Turner, D. A. "Some History of Functional Programming Languages" also  John Hughes - Why Functional Programming Matters  and David MacQueen's talk at ICFP 2015 in  Numberphile - Sophie Maclean on the Catalan Numbers . At 10:30 This whole discussion abut combinator reduction is especially interesting. I didn't know Arthur Norman had tried building hardware for combinator machines. I'll look that up: maybe start here A.C. Norman  Faster combinator reduction using stock hardware  in LFP '88: Proceedings of the 1988 ACM conference on LISP and functional programming. At 26:25 on the ISWIM virtual machine implemented in the PAL compacting garbage collector?! This work Reynolds and others did was at MIT in Masecheusetts and Argonne National Laboratory ...
Read more