On the Strict Endoscopic Part of Modular Siegel Threefolds - Shahrokhi Tehrani, Shervin
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In this book, we study the non-holomorphic strict ndoscopic parts of inner cohomology spaces of a modular Siegel threefold respect to local systems. First we show that there is a non-zero subspace of the strict endoscopic part such that it is constructed by global theta lift of automorphic froms of a pair of genus one cuspidal forms. Secondly, we present an explicit analytic calculation of levels of lifted forms into GSp(4), based on the paramodular representations theory for GSp(4;F). Finally, we prove the conjecture, by C. Faber and G. van der Geer, that gives a description of the strict…mehr

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Produktbeschreibung
In this book, we study the non-holomorphic strict ndoscopic parts of inner cohomology spaces of a modular Siegel threefold respect to local systems. First we show that there is a non-zero subspace of the strict endoscopic part such that it is constructed by global theta lift of automorphic froms of a pair of genus one cuspidal forms. Secondly, we present an explicit analytic calculation of levels of lifted forms into GSp(4), based on the paramodular representations theory for GSp(4;F). Finally, we prove the conjecture, by C. Faber and G. van der Geer, that gives a description of the strict endoscopic part for Betti cohomology and (real) Hodge structures in the category of mixed Hodge structures, in which the modular Siegel threefold has level structure one.
Autorenporträt
Dr. Shervin Shahrokhi Tehrani graduated at University of Toronto at 2012. His research is on Nonholomorphic cuspidal automorphic forms of GSp(4;A) and proves a conjecture on the Hodge structure of Siegel threefolds. He is currently working at Rotman School of Management on mathematical business model.