3 ms·
And for the more nonlay audience, Grothendieck's real pull is the persistence with which he applied category theoretic techniques successfully. Usually one woul
by mikorym 7y ago
And for the more nonlay audience, Grothendieck's real pull is the persistence with which he applied category theoretic techniques successfully. Usually one would qualify this to algebraic geometry, but I think his approach can be followed in any of the many extensive fields in mathematics.
I would contrast this to what often happens in the physics community, albeit not in a condescending manner, where techniques diverge rather than converge. In fact, I would guess this is the role that Einstein played a hundred years ago: to encourage sensible connections between researchers' work.
- nabla9 7y agoGrothendieck's relative point of view https://en.wikipedia.org/wiki/Grothendieck%27s_relative_point_of_view https://en.wikipedia.org/wiki/Grothendieck%27s_relative_poin...
- mikorym 7y agoLinked to via two degrees is this: https://en.wikipedia.org/wiki/Grothendieck%E2%80%93Riemann%E2%80%93Roch_theorem#/media/File:Grothendieck-Riemann-Roch.jpg https://en.wikipedia.org/wiki/Grothendieck%E2%80%93Riemann%E.... I don't know German, but it would be really interesting to know what the text says.
- detaro 7y agorough translation (it's kinda tricky to preserve the tone. Question marks are words I'm not sure the translation works): > Riemann-Roch theorem: the last trend(?): the diagram(?) <formula> is commutative! To give this statement over f:x->y an approximative sense I had try the patience of the listeners for almost 2 hours. Black-on-white (in Springer's Lecture Notes) its about 400, 500 pages. A fitting example how our drive to knowledge and discovery more and more realizes itself in a far-from-life logical delirium, while the life itself is ruined in a thousand ways - and is threatened by total destruction. High time to change our path!
- mikorym 7y agoI wonder if he means what I think he means, which is that a concept that is for some field all-encompassing in your mind takes 400 pages to write down in a way that translates your ideas. University group theory is like that, when the real objective may just be to show that you can't circle the square.