3 ms·

It was well written but I wish being a geometry related topic there were some figures to help with the explanation. I’d like to /see/ examples of how this all w

It was well written but I wish being a geometry related topic there were some figures to help with the explanation. I’d like to /see/ examples of how this all works to help me understand.

teekert 5y ago
Yeah I’m really looking forward to the Standup Math or/and (preferably and) 3blue1brown version.
- langlands 5y ago
  I would be surprised if this gets a 3blue1brown episode - this branch of mathematics takes a lengthy time to wrap one's head around. 3blue1brown topics tend to show up in undergraduate math, whereas the Langlands program (and the Fargues-Fontaine curve in particular) would really only be studied by a subset of graduate students studying Number Theory.
  - teekert 5y ago
    As a noob I'd say this also falls into that category: [0]. Who knows, if enough people ask about it on his reddit (topic requests) :) : [1] [0] https://www.youtube.com/watch?v=mH0oCDa74tE https://www.youtube.com/watch?v=mH0oCDa74tE [1] https://www.reddit.com/r/3Blue1Brown/comments/mllj2s/topic_requests/ https://www.reddit.com/r/3Blue1Brown/comments/mllj2s/topic_r...
langlands 5y ago
Unfortunately the "geometry" involved is not the kind of geometry that lends itself towards being easily drawn to give understanding. If you had to draw a picture of it, it would just be a sphere (since it shares many properties with a genus 0 complex curve). But it's a very different beast than usual geometric shapes. A lot of modern number theory is motivated by an analogy between "p and t", where t is a parameter in a polynomial like t^2 - 2, and where p is a prime number. This space takes the analogy to an extreme where p literally is the parameter for the space[0], like t would be a parameter for the real line. [0]Not exactly true - true for the "disk" cover of the FF curve.
paulpauper 5y ago
Do you have a few years to spare? Algebbraic geometry is immensely involved even by grad level standards. You cannot really jump from college under grad math to algebraic geometry in the way you can for other areas. You would need to start by having a good grasp of linear algebra.

It was well written but I wish being a geometry related topic there were some figures to help with the explanation. I’d like to /see/ examples of how this all works to help me understand.

teekert 5y ago

Yeah I’m really looking forward to the Standup Math or/and (preferably and) 3blue1brown version.

langlands 5y ago
I would be surprised if this gets a 3blue1brown episode - this branch of mathematics takes a lengthy time to wrap one's head around. 3blue1brown topics tend to show up in undergraduate math, whereas the Langlands program (and the Fargues-Fontaine curve in particular) would really only be studied by a subset of graduate students studying Number Theory.
- teekert 5y ago
  As a noob I'd say this also falls into that category: [0]. Who knows, if enough people ask about it on his reddit (topic requests) :) : [1] [0] https://www.youtube.com/watch?v=mH0oCDa74tE https://www.youtube.com/watch?v=mH0oCDa74tE [1] https://www.reddit.com/r/3Blue1Brown/comments/mllj2s/topic_requests/ https://www.reddit.com/r/3Blue1Brown/comments/mllj2s/topic_r...

langlands 5y ago

Unfortunately the "geometry" involved is not the kind of geometry that lends itself towards being easily drawn to give understanding. If you had to draw a picture of it, it would just be a sphere (since it shares many properties with a genus 0 complex curve). But it's a very different beast than usual geometric shapes. A lot of modern number theory is motivated by an analogy between "p and t", where t is a parameter in a polynomial like t^2 - 2, and where p is a prime number. This space takes the analogy to an extreme where p literally is the parameter for the space[0], like t would be a parameter for the real line. [0]Not exactly true - true for the "disk" cover of the FF curve.

paulpauper 5y ago

Do you have a few years to spare? Algebbraic geometry is immensely involved even by grad level standards. You cannot really jump from college under grad math to algebraic geometry in the way you can for other areas. You would need to start by having a good grasp of linear algebra.