Lectures 1 & 2 of my minicourse on Coverages and Grothendieck Toposes are up on youtube. I’ll be giving the last talk this Friday.

youtu.be/G6kCMcRfRlI?...

Woahh 🫣

What sorts of categorified connections do you not know how to find explicit descriptions of? By explicit/analytic here can I think “cocycle description”?

Ooo whats this from?

Congrats!! 🎊

Thank you! I taught precalculus and discrete math.

Thank you!

I am so sorry to hear this, your papers and work are first class, best of luck!

🧐

No clue. How I’d pronounce it: products.blains.com/600/106/1067...

This looks super cool! Would you be willing to give this (or a similar talk) at the NYC category theory seminar (in person or on zoom) next semester?

In this talk we will discuss concrete examples from topological spaces and graphs before moving to smooth manifolds and the recollement that gives rise to differential cohomology theories.

For more info: www.sci.brooklyn.cuny.edu/~noson/Semin...

Every recollement comes with a fracture square, which in some circumstances can be extended to a hexagon-shaped diagram of fiber sequences.

· Title: Recollements: gluing and fracture for categories.
· Abstract: Recollements provide a way of gluing two categories together along a left-exact functor, or conversely of obtaining a semi-orthogonal decomposition of a category by two full subcategories.

TFAE-theorems

Noticing this kind of thing is what I love about mathematicians