Timeline for Tamagawa numbers of crystalline Galois representations
Current License: CC BY-SA 3.0
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 30, 2011 at 15:55 | vote | accept | David Loeffler | ||
| May 27, 2011 at 11:08 | comment | added | Laurent Berger | @Jim: Thank you! I have very fond memories from my time at UMass Amherst. | |
| May 27, 2011 at 10:12 | comment | added | David Loeffler | (I can see how knowing $C_{Iw}$ might allow one to read off the Tamagawa number in cases where $H^1_f(V)$ is either zero, or the whole of $H^1$; but when $H^1_f$ is 1-dimensional, how does one proceed?) | |
| May 27, 2011 at 10:10 | comment | added | David Loeffler | Dear Laurent (or Olivier): could you elaborate how these statements prove what we need? It seems that the paper proves conjecture $C_{Iw}$ (which is invariant under twisting). This implies $C_{EP}$ for all twists, but $C_{EP}$ amounts to a statement about the quotient of Tamagawa numbers for $V$ and $V^*(1)$, so this doesn't give a formula for the Tamagawa numbers of $V$ themselves. | |
| May 26, 2011 at 21:06 | vote | accept | David Loeffler | ||
| May 30, 2011 at 15:55 | |||||
| May 26, 2011 at 17:36 | comment | added | Jim Humphreys | @Laurent: Not a direct comment on your answer, but just a reaffirmation of the consensus here that you were the best-informed TA ever hired by our department ;-) | |
| May 26, 2011 at 14:00 | comment | added | Laurent Berger | Thank you Olivier! In the published version, this would be corollary 4.21 and page 674. | |
| May 26, 2011 at 11:40 | comment | added | Olivier | It seems to me that Berger-Benois corollary 4.4.3 and the paragraph page 66 starting with D'autre part should do the job. In particular, this shows that I was indeed way too optimistic: the question of David turned out to be more or less as hard as the local epsilon conjecture. | |
| May 26, 2011 at 8:57 | history | answered | Laurent Berger | CC BY-SA 3.0 |