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


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.
Apr
5
comment Space with 720° / not 2$\pi$ rotational symmetry?
Perhaps the Möbiusband?
Mar
29
revised What is the logarithmic derivative of an (intertwining) operator?
added 8 characters in body
Mar
29
answered Current Status on Langlands Program
Mar
29
comment Current Status on Langlands Program
I would also distinguish between functoriality (maps) and correspondence (objects)... you seem to be interested in correspondence between automorphic reps and Galois reps.
Mar
29
revised What is the logarithmic derivative of an (intertwining) operator?
added 217 characters in body
Mar
29
comment Current Status on Langlands Program
I also think that stabilization is not an issue for GL(n).
Mar
29
comment Current Status on Langlands Program
mathoverflow.net/questions/10578/… mathoverflow.net/questions/127157/…
Mar
29
comment Current Status on Langlands Program
There have been many similiar questions in the past.
Mar
29
answered What is the logarithmic derivative of an (intertwining) operator?
Mar
24
comment Local Langlands for $GL(2,\mathbf{C})$ and reducible principal series
@Marty I thought more about your claim about the intertwiner. You can see that JL are using the one that I describe as does Bump, etc. By Schur's lemma, there can be only one intertwiner up to a constant. It is the standard one for the adelic Eisenstein series as well. Yours does not match up with the standard one times a constant, or does it?
Mar
24
comment Local Langlands for $GL(2,\mathbf{C})$ and reducible principal series
You get one quotient and one submodule, so yes that makes too. But the roles are interchanged in $I(\mu)$ and $I(\mu^w)$.
Mar
23
comment Local Langlands for $GL(2,\mathbf{C})$ and reducible principal series
Are you sure? I can't see the invariance. The integral transfer needs to map $I(\mu)$ to $I(\mu^w)$.
Mar
22
comment Local Langlands for $GL(2,\mathbf{C})$ and reducible principal series
Also there are other references for SL(2,C). Knapps book on semisimple groups or Wallachs book on reductive groups. Wallach seems more informative concerning things like temperedness and unitarity. SL(2,C) and GL(2,C) are very similar, not like SL(2,R) and GL(2,R).
Mar
22
comment Local Langlands for $GL(2,\mathbf{C})$ and reducible principal series
I have chosen to delete my answer, because it seems not to address your question. As Marty points out $I(\chi_1,\chi_2)$ is isomorphic to $I(\chi_2,\chi_1)$ if both are irreducible. If they are reducible, they are not. What is an irreducible subquotient in one of them is an irreducible subrepresentation in the other. So that's why considering only unique subquotients hits all irr reps.
Mar
22
comment Local Langlands for $GL(2,\mathbf{C})$ and reducible principal series
The intertwiner seems wrong. You need $\int\limits_{U} f(wux) du$ for $w$ the Weyl element, or not?
Mar
21
awarded  Custodian
Mar
21
reviewed Approve suggested edit on phase portrait of system of differential equations
Mar
20
comment The representation of a group
What kind of maps? Group homomorphisms, I guess?