Number Theory Seminar
主講者: 張曉宇 (University of Duisburg-Essen)
講題: L-values and Selmer groups of Siegel modular forms of genus 2
時間: 2019-08-21 (Wed.)  10:00 - 11:30
地點: 數學所 722 研討室 (台大院區)
Abstract: Special L-values and Selmer groups are important objects in the study of the arithmetic properties of automorphic forms. These two objects are related to each other in many conjectures, such as that of Bloch-Kato. In this talk, we will present an automorphic version of the Bloch-Kato conjecture , relating a special L-value of a certain Siegel modular form of genus 2 modulo an automorphic period to the corresponding Selmer group. The basic tools are theta correspondence between GSp4 and GO6 as well as some modularity results on these two groups.
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