l Finiteness theorems for Hermitian lattices and Kloosterman problem
Speaker
l Ji Young Kim(김지영)
Institute
l KIAS
Date
l 2008-12-03(Wednesday)
Time
l 16:30 ~ 17:30
Place
l E6-1, ROOM 1409
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We will introduce finiteness theorems for representability of Hermitian lattices over imaginary quadratic field $\mathbb{Q}(\sqrt{-m})$. One is a criterion on universality of Hermitian lattices over $\mathbb{Q}(\sqrt{-m})$. Another is a criterion on even universality of Hermitian lattices over $\mathbb{Q}(\sqrt{-m})$ which admit even universal binary Hermitian lattices. Finally, we apply these results to the Kloosterman problem and provide a Bochnak-Oh type criterion for almost universal binary Hermitian.
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