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Marc Palm

Postdoc in Mathematics

http://www.plusepsilon.de


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)?
added 17 characters in body
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)?
added 874 characters in body
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 suggested edit on 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”
Apr
10
reviewed Approve suggested edit on Does Cauchy continuity imply uniform continuity? [No.]
Apr
10
comment Reference for Kronecker-Weyl theorem in full generality
Sorry, I didn't see the part: " a proof under the assumption that the θj are linearly independent over the rational numbers will not suffice for me." I deleted my answer.
Apr
8
comment Inequality for a gamma function
The logarithmic derivative of the Selberg Zeta function grows like $CT^2$ as $\Im z = T \rightarrow \infty$, which can be seen from the Weyl law. More important for its growth is the Barnes-G-function. $\Gamma$ contributes at most $T \log(T)$ in the non-compact setting.
Apr
8
answered What is the intuition behind the definition of cuspidal representations?
Apr
7
comment What is the logarithmic derivative of an (intertwining) operator?
Note that my computation apply only to the highest type. For the computations at the real places and the unramified complex cases, you can have a look at my PhD thesis. There is a good reason for working with highest types/smallest weights = irreducible $K$-reps as soon as you have pinned down the local conditions.
Apr
6
comment Homeomorphisms that admit a decomposition
Okay, my mistake;) I see now that it seems to more complicated...
Apr
5
comment Homeomorphisms that admit a decomposition
There are only two strictly monotone functions on $[0,1]$ up to conjugation by homeomorphisms. One doesn meet your criteria.
Apr
5
comment Homeomorphisms that admit a decomposition
Do you know the answer for $[0,1]$? Modulo conjugating by homeomoprhism of $[0,1]$, there seems to be only one map.