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A reformulation of the Siegel series
[2018 KAIST 세미나]
Date: 2018-05-29
Speaker : 조성문 (POSTECH)
Abstract : The Siegel series is defined to be a local factor of the Fourier coefficient of the Siegel-Eisenstein series. It is usually described as a polynomial, whose coefficients are known to be difficult to compute. In this talk, I will explain a precise reformulation of the Siegel series using stratification of p-adic scheme, geometric description of each stratum, Grassmannian, and lattice counting argument. This would give a conceptual interpretation of each coefficient of the Siegel series. If time permits, then I will discuss about ongoing work related to this topic.
Information Center for Mathematical Sciences KAIST
34141 대전광역시 유성구 대학로 291 (구성동373-1)
한국과학기술원(KAIST) 수리과학정보센터
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