6,733 reputation
21040
bio website plusepsilon.de
location Uni Hamburg
age 29
visits member for 3 years, 10 months
seen Jul 28 at 18:22

Marc Palm

Postdoc in Mathematics

http://www.plusepsilon.de


Aug
17
awarded  Nice Question
Aug
7
awarded  Popular Question
Jul
2
awarded  Inquisitive
Jul
2
awarded  Curious
Jun
30
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
12
revised Regularity assumption in the simple trace formula
added 25 characters in body
Jun
12
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.
Jun
10
answered Analytic criteria for the support of the Plancherel measure for SL(2,Qp), spherical functions
Jun
10
comment Spherical functions for sl(2,Q_p)
I gave the formula for the distribution. It is general. If you want to find a function on $G$ corresponding to this, I can't tell where to look for explicit computations. My feeling is that finding some useful computational analogy can only done to some extent. $P$-adic Gamma factors do not look like real or complex Gamma-functions.
Jun
10
comment Spherical functions for sl(2,Q_p)
Being in the left regular correspond to being tempered, so you will not get the trivial representation nor the non-tempered principal series. But it does not matter, my computation assume $\mu$ general, not necessarily unitary. You probably means character seen as a function, which is locally integrable - not as a distribution. Yes you can do a similiar things whether as long as you assume admissible.
Jun
10
answered Questions on constructions of supercuspidal representations
Jun
10
revised Spherical functions for sl(2,Q_p)
added 129 characters in body
Jun
10
answered Spherical functions for sl(2,Q_p)