Higgs bundles over certain Shimura curves in char p and their applications
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SFB-Kolloquium
Jiajin Zhang (Mainz)
What |
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When |
Dec 17, 2009 from 03:15 pm to 04:15 pm |
Where | Mainz, 05-432 (Hilbertraum) |
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Abstract. Fix a Shimura curve associated to a quaternion division algebra. We use Higgs bundles over it to study the Newton polygon (or p-rank) stratification. We also study the stability of these bundles under the Frobenius pull-back.