Embeddings of lattices and p-adic orthogonal groups.
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filed under:
SFB-Kolloquium
Simon Brandhorst (Leibniz Universität Hannover)
| What |
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|---|---|
| When |
Jun 07, 2018 from 03:30 pm to 04:30 pm |
| Where | Mainz, 05-432 (Hilbertraum) |
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Abstract.
Based on work of Miranda, Morrison and Nikulin, Shimada proposed an algorithmic approach to the following question: Given two integral lattices $A$ and $B$ compute the number of embeddings of $A$ into $B$ up to equivalence. A bottleneck in this approach is the computation of the orthogonal group $O(A^\vee / A)$ of the discriminant group $A^\vee / A$.
We present a formula for its order and give a small generating set.
