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bio website plusepsilon.de
location Uni Hamburg
age 30
visits member for 4 years, 8 months
seen Jan 31 at 13:20

Marc Palm

Postdoc in Mathematics

http://www.plusepsilon.de


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)
Jun
2
comment Spherical functions for sl(2,Q_p)
Being type I and having spherical functions are different things. Please clarify your question.
May
20
comment surjective homomorphism with compact kernel (Milne's note on Shimura varieties)
Please define the notation.
May
20
comment Fourier series of functions on compact groups
If you use the framework of Hilbert's 5th problem, you can generalize it to the locally compact version, see chapter 6 of my Phd Thesis.
May
20
comment Fourier series of functions on compact groups
Harish-Chandra (1966), "Discrete series for semisimple Lie groups. II. Explicit determination of the characters",
May
13
comment Decomposition of $L^2(\Gamma \backslash G)$
Multiplicity one is known not to hold for SL(n), so no simplicity of the eigenvalues. It is a reasonable conjecture to assume that given a lattice, the multiplicity is bounded by a constant depending on the lattice and the weights.
May
12
comment Constant terms of Eisenstein series and Gindikin-Karpelevich formula
Did you check Moeglin-Waldspurger's book on Eisenstein series?
May
12
answered Decomposition of $L^2(\Gamma \backslash G)$
Apr
30
comment Has universality been definitely established for the whole Selberg class?
authors... I d send a joint email at all of them in this case.
Apr
30
comment Has universality been definitely established for the whole Selberg class?
Did you ask the author via email?