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Marc Palm

Postdoc in Mathematics

http://www.plusepsilon.de


Dec
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Sep
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comment Are there any simple, interesting consequences to motivate the local Langlands correspondence?
@PaulSiegel: I have edited the question. I was probably thinking "global understanding requires local understanding". That is not necessarily so, I guess.
Sep
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revised Are there any simple, interesting consequences to motivate the local Langlands correspondence?
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Jun
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comment Eisenstein series over a definite division algebra
Ah okay, I see my mistake. I was thinking $GL(1)$ over a division algebra, you are considering $GL(2)$. Moeglin-Waldspurger do not consider this setting in their book?
Jun
28
awarded  Popular Question
Jun
27
comment Eisenstein series over a definite division algebra
Please help me to understand what the cusp is. I recall that quaternion division algebras give rise to compact quotients, hence no cusps and Eisenstein series. The trace formula becomes simple and one gets the Jacquet-Langlands correspondence with forms with at least two square-integrable components.
Jun
19
comment Complex zeros of $\zeta'(s)/\zeta(s) + \zeta'(1-s)/\zeta(1-s) $ = simpler expression (except at zeta zeros)
How do cancel the Euler products? Seems like you only got the $\Gamma$ factor.
Jun
19
comment Complex zeros of $\zeta'(s)/\zeta(s) + \zeta'(1-s)/\zeta(1-s) $ = simpler expression (except at zeta zeros)
$\xi(s) = \xi(1-s)$, isn't it? What is your definition of $\xi$?
Jun
14
answered Are there any simple, interesting consequences to motivate the local Langlands correspondence?
Jun
14
comment Are there any simple, interesting consequences to motivate the local Langlands correspondence?
Is there a local version of the Taniyama-Shimura conjecture? Also it proves the Ramanujan conjecture in the global setting, but this does not apply to the local steting at all, where actually non-tempered things play a role.
Jun
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revised Regularity assumption in the simple trace formula
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answered Regularity assumption in the simple trace formula
Jun
11
comment Analytic criteria for the support of the Plancherel measure for SL(2,Qp), spherical functions
Characteristic functions are not smooth. Growth considerations are pretty analytic to me. For any thing else, there are not that many analytic differences between the characters. It's like $x \mapsto e^{sx}$ for $s$ varying and $s$ being imaginary means temperedness.