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bio website plusepsilon.de
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visits member for 4 years, 2 months
seen Sep 25 at 13:24

Marc Palm

Postdoc in Mathematics

http://www.plusepsilon.de


Apr
17
revised Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
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Apr
17
revised Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
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Apr
17
revised Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
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Apr
17
comment Phillips-Sarnak conjecture in higher dimension
What about superrigidity? Does it not contradict your claim about existence of non-arithmetic lattices in higher rank? en.wikipedia.org/wiki/Superrigidity
Apr
17
answered Can $T$ act trivial in a repn of SL$_2(\mathbb{Z}_N)$?
Apr
17
comment Are the only discrete groups with nontrivial p-adic Haar measure finite?
What is a tight measure? How is the isometry between $M(G)$ and $c_0(G)$? Usually $c_0(G)' = M(G)$, so there is a dual. I can't actually see why it should matter $C_p$ or $C$ valued measures here. It is more likely to see where you go wrong if you add all definitions.
Apr
14
answered Fourier series of functions on compact groups
Apr
14
comment The sum over zeros in the explicit formula for $\zeta(s)$
If you mean the explicit formula of Weil, the test function should be bounded by $(1+|\im z|))^{2 + \epsilon}$ and we also have absolute convergence there. So I am not sure if your argument can be made rigorous, because it would imply an explicit formula with more relaxed conditions on the allowed test functions.
Apr
12
comment What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?
I also recommend Bushnell-Henniart Local Langlands for GL(2) for the Bushnell-Kutzko theory. It is more digestible for a beginner, I think.
Apr
11
revised What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?
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Apr
11
comment What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?
Thanks, that's what I meant.
Apr
11
revised What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?
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Apr
11
answered What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?
Apr
11
comment What is the current status of representations of $GL_n(F)$ (and other algebraic groups)?
When $F$ is local non-archimedean field,...
Apr
11
comment What is the intuition behind the definition of cuspidal representations?
"some and therefore every"
Apr
10
comment What is the intuition behind the definition of cuspidal representations?
Yes the unipotent radiacal of any Borel subgroup (defined over $F$). Note that your are allowed to conjugate by elements of $GL_2(F)$. There are may expositions on how to move between classical and adelic language, see e.g. Bump's book.
Apr
10
comment leading-order behaviour of riemann zeta function?
$\zeta$ gets arbitrary small in $1/2 \leq \Re s <1$. I am not sure about $0< \Re s <1/2$.
Apr
10
comment leading-order behaviour of riemann zeta function?
I am not getting it? Is your "I'm looking for something...." not stronger then LH, which is certainly not known?
Apr
10
reviewed Approve multiplication of two ergodic and stationary processes
Apr
10
answered Looking for paper: Weil's original 1952 “Sur les formules explicites de la théorie des nombres premiers”