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Mass formulas for local galois representations (after (2006).
| Content Provider | CiteSeerX |
|---|---|
| Author | Bhargava, Serre Kedlaya, Kiran S. |
| Abstract | Bhargava has given a formula, derived from a formula of Serre, computing a certain count of extensions of a local field, weighted by conductor and by number of automorphisms. We interpret this result as a counting formula for permutation representations of the absolute Galois group of the local field, then speculate on variants of this formula in which the role of the symmetric group is played by other groups. We prove an analogue of Bhargava’s formula for representations into a Weyl group in the Bn series, which suggests a link with integration on p-adic groups. We also check the G2 case, where the analogy seems to break down at residual characteristic 2. 1 |
| File Format | |
| Publisher Date | 2006-01-01 |
| Access Restriction | Open |
| Subject Keyword | Mass Formula Local Galois Representation Local Field Permutation Representation G2 Case Counting Formula P-adic Group Certain Count Absolute Galois Group Symmetric Group Weyl Group Bn Series |
| Content Type | Text |
