What is...quantum algebra?

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...quantum algebra? Or: Subfields of mathematics 21.

Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.

Slides.

TeX files for the presentation.

Thumbnail.

Main discussion.

Background material.

Computer talk.

Pictures used.

YouTube and co.

#topology
#algebra
#mathematics

[Juniper-]

Amazing timing because I'm currently reading Chelsea Walton's new book "Symmetries of Algebas" which is geared towards expositing the fundamentals of quantum algebras! tysm for describing the history of the subject

[eternaldoorman]

That was weird. I didn't understand any of it, but still found it vaguely interesting! :-)

[tolkienfan]

"I'm not going to talk about what a quantum group is" - literally the only thing that I'm interested in.

[tomholroyd]

People love binary logic, nowadays. It's great for high-speed computing. The world literally runs on that now.
Traffic lights go Green Yellow Red for a reason though. #RM3 #logic #notbinary

[youtubesucks]

Can you do a video abou the AGT correspondence and the duality between equivariant cohomology of the instanton moduli space and affine W-algebras?