--where we think of the field of fractions as the residue 0 field, of course--and solving at the residue fields gives us local data
-
-
Replying to @St_Rev
That said, I don't know much about group actions on diophantine systems. Although it would be interesting to lift my constructions
1 reply 0 retweets 0 likes -
Replying to @St_Rev
...from the kG category to the ZG category, where there are a lot of unsolved problems that might be addressed.
1 reply 0 retweets 1 like -
Replying to @St_Rev
nb: this was off-the-cuff bullshitting. I know there are applications to number theory but I have no damn clue what they are.
1 reply 0 retweets 0 likes -
Replying to @St_Rev
Apparently it runs deep in the Langlands program though. http://www.math.harvard.edu/~chaoli/doc/EilenbergLectures.html …
2 replies 0 retweets 0 likes -
Replying to @St_Rev
Heh, "Langlands program" is always the answer. :-) But messy Diophantine eqs -> anabelian stuff -> current rep. theory fails?
1 reply 0 retweets 0 likes -
Replying to @peroxycarbonate
Oh no. Representation theory doesn't care much about commutative vs. non.
3 replies 0 retweets 0 likes -
Replying to @St_Rev
But it's very sensitive to the base field. "Ordinary" = "over the complex numbers". "Modular" = characteristic p.
1 reply 0 retweets 0 likes -
Replying to @St_Rev
Modular representation theory is vastly, vastly harder.
1 reply 0 retweets 0 likes -
Replying to @St_Rev
Like: a big ordinary representation theory question would be "find the representations of the Monster group"
1 reply 0 retweets 0 likes
My dissertation was done over the group Z/p x Z/p of order p^2. And actually mostly over Z/3 x Z/3.
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.
. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.