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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But it's very sensitive to the base field. "Ordinary" = "over the complex numbers". "Modular" = characteristic p.
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Modular representation theory is vastly, vastly harder.
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Like: a big ordinary representation theory question would be "find the representations of the Monster group"
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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.
End of conversation
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.