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홈 > 학술정보 >학술행사 > 세미나
KAIST 수리과학과 세미나

Title
Group Schemes and Local Densities
Speaker
조성문   (교토대학 )
Date
2017-10-23 13:30:00
Host
KAIST
Place
E6 Room 2411
Abstract
The local density is a local factor of the celebrated Smith-Minkowski-Siegel mass formula, which is an essential tool in the classification of quadratic or hermitian forms. In this talk, I will first explain how the local density is reformulated in terms of arithmetic geometry. I will then explain a simple and uniform construction of smooth group schemes, associated to any bilinear form defined over any local field, which is a desingularization of group schemes over DVR. This construction yields the precise and new local density formulas in many unknown cases.
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