@catdadpotat@focusfronting I once saw a really cool art piece in the Tate Modern about this! It was a video of a conductor shot so you could only see his hands, on a huge screen in a dark enclosed room. It was super disorienting and neat, but maybe too much for being jet lagged so we only lasted 30 seconds
@colinb8@kareem_carr Here the convergence is uniform but the first derivative doesn’t converge even pointwise. Since arclength depends on the derivative it’s not surprising the red and green curves have different lengths
@TimHenke9@Daanniii6 I agree with everything you said! Plus I’m not really an expert on the general physics ideas.
I would emphasize that TQFTs are quite special: they are good to study but a general QFT (like QED, say) is more complicated
@Daanniii6@TimHenke9 That is just one example but it’s on of the major motivations. You can also express lots of Floer-type things in this language, but it’s much harder or maybe not computable (I know less about this)
@Daanniii6@TimHenke9 For quantum Chern-Simons theory these things are all explicitly computable, although you might get some very complicated sum/matrix/tensor/higher linear morphism and you might need to know a fair amount of representation theory to do the calculations
@AniJhahaha @christapeterso Infamously the Nazis said they had created a “Volksgemeinschaft” which you could translate as “people’s community” but they meant more like “racially [pure] society”
https://t.co/mQEYuCsLDg
@APotAaaYM@ryanyang0 Obviously studying math intensively from a young age will help make you good at doing mathematical research, but that doesn’t mean being really good at the contests is what’s making people Fields Medalists