There's the common background you use to communicate, and there's the areas of research interest. They are not fungible. 2/
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Replying to @St_Rev
If someone asked me "what applications does this work have to topology" THAT IS AN INVITATION TO SELL MY FUCKING WORK, PRINCESS. 3/
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Replying to @St_Rev
You're not reacting to injustice or absurdity, you're just running a power play. Asserting your privilege. 4/4
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Replying to @St_Rev
How is your representation theory stuff relevant to my work on Diophantine equations? :-P
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Replying to @peroxycarbonate
Well, in both subjects one often works with a system consisting of a ring of integers and its residue fields...
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Replying to @St_Rev
--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
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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
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Replying to @St_Rev
...from the kG category to the ZG category, where there are a lot of unsolved problems that might be addressed.
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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.
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Replying to @St_Rev
Apparently it runs deep in the Langlands program though. http://www.math.harvard.edu/~chaoli/doc/EilenbergLectures.html …
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And of course there's a ton of complex analysis in Langlands too! Good thing they made me study it, right?
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.