Timeline for Which mapping class group representations come from algebraic geometry?
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 17, 2014 at 16:09 | comment | added | Ben Wieland | This question already has nontrivial answers, but trivial answers are useful, too. (1) The tensor product of the symplectic representation with itself is a new PVHS. (2) Every finite index subgroup gives a permutation representation, which is a (boring weight 0) PVHS. Even if they factor through $Sp_{2g}(\mathbb Z)$, they don't come from the defining representation. And the group is residually finite, so many don't. | |
| Nov 5, 2014 at 0:33 | answer | added | Ben Wieland | timeline score: 7 | |
| Nov 4, 2014 at 22:23 | vote | accept | Dan Petersen | ||
| Nov 4, 2014 at 14:26 | comment | added | Peter Samuelson | If infinite dimensional representations are ok you can take the ring of functions $\mathcal O(Rep(\pi_1(\Gamma_g),G))$ of the representation variety into some algebraic group $G$. Or you could take the homology of the representation variety. | |
| Nov 4, 2014 at 6:12 | answer | added | Donu Arapura | timeline score: 17 | |
| Nov 4, 2014 at 0:51 | answer | added | Igor Rivin | timeline score: 6 | |
| Nov 3, 2014 at 22:16 | history | asked | Dan Petersen | CC BY-SA 3.0 |