Conjecture Connecting All Branches of Math

[quasar987]

I'm looking for the name of the optimistic conjecture that, if I remember correctly, conjectures the existence of a certain kind of connection between every branch of mathematics.

I read about it in Singh's book on Fermat's last theorem. Fueled by the enthusiasm following the discovery of a proof of the Taniyama-Shimura conjecture connecting topology and number theory, this conjecture was made.

 

[quasar987]

What are other instance where two seemingly disconnected branches of mathematics intertwine as in the Taniyama-Shimura conjecture?

Can Perelman's proof of the Poincaré conjecture be said to connect differential equations to algebraic topology in this way?

 

[neutrino]

Langlands program?
https://www.amazon.com/gp/product/0385493622/?tag=pfamazon01-20

 

[quasar987]

probably, thx

 

[mathwonk]

yes langlands.