Definition of perfectly normal space from Munkres

My space has people asking a lot of questions already answered by my space

Absolutely incredible.

NASA Astronaut Reid Wiseman, who commanded Artemis II, took this footage from the far side of the Moon with his iPhone.

Watch with sound on.

This is what’s left of the historic town of Bint Jbeil, Lebanon after Israel passed through it

It’s inaccurate to say Mario is brave and Luigi is cowardly

Luigi is afraid of death, so he runs away from danger. Mario is afraid of living, so he runs towards death. Both brothers are cowards in their own way

the what

the Snacks at Trader Joe's that Only Women Can See YouTube video by Chris Fleming

since we're talking about trader joe's

"the way women see trader joe's, it's the way the aliens from Arrival view time"

A bumber sticker on a car that says honk if you love snoopy or are insane

*my dead body slumped over the steering wheel, laying on the horn*

*parallel parks into your heart*

This show with the mannequin that comes to life is deep in my subliminal memory. Here's the opening bit youtu.be/-4b-H4R43Yg?...

Hungarians celebrated the landslide defeat of Orban by singing "We Are the Champions" out in the streets

Houston I have to pee

this goes hard as fuck

This is real

in persian culture, telling someone "we're going to kill you all" is considered deeply offensive

Imagine being behind the Moon and not getting scam calls for half an hour

Ok now everybody hide

Absolutely heartbreaking. So many mathematicians I know studied there, men AND women.

Maryam Mirzakhani studied there.

If this isn't enough to cancel/relocate from the US the International Congress of Mathematicians #ICM2026, nothing will be.

It's 1am what am I doing

Screenshot from the NASA Artemis II launch livestream showing the core stage separation from a camera on the rocket.

What a fucking shot holy shit

It's TWO VAST AND TRUNKLESS LEGS OF STONE Tuesday!

I can only handle it in small doses before all the indices make me pass out... Lie theory is so soothing by comparison

Yeah it's horrifying ngl 😃

The next step is taking your space of fields to be the derived quotient by the gauge action. So classically you look at the derived critical locus of an action defined on the derived quotient of the fields by gauge. Then when you quantize the derived intersection gets deformed and becomes fuzzy

Yeah I guess the motivation is that intersections can be badly behaved due to non-transversality and the naive intersection loses information that is kept in the derived picture. The ring of functions on a derived intersection becomes a whole (Koszul) commutative dga but you think of it as functions

Yeah it's a whole saga. There's the koszul complex for the classical derived critical locus and the BV complex that deforms it and how integration becomes cohomology. Then there's the shifted symplectic interpretation. And that's before a gauge group even enters into it! Exposition is badly needed

An introduction to the Batalin-Vilkovisky formalism The aim of these notes is to introduce the quantum master equation $\{S,S\}-2i\hbarΔS=0$, and to show its relations to the theory of Lie algebras representations and to perturbative expansions of Gaus...

Ho boy. Truth is, I haven't found a clean exposition at all. Maybe it's my calling to write one. Costello's "Renormalization and..." has an overview that is very hard to understand. Gwilliam's thesis has a little intro that is way too condensed... Fiorenza is down to earth: arxiv.org/abs/math/040...

Lord help me I thought these were baryons

First one of these! I gave up trying to get my cat in the frame. Lately I've been trying to understand BV quantization, which has had the side effect of getting me obsessed with representation theory of Lie algebras

Very amusing vowel space playground

editor.p5js.org/mimoi/full/x...

Oh so it's time to SELL sell