Quartic forms in 30 Variables

报告人:Pankaj Vishe(Durham University)

报告时间:2018年12月26日  10:00-11:00


Title:Quartic forms in 30 Variables

Abstract:We prove Hasse principle for smooth quartic hypersurfaces of affine dimension 30 or more. We give overview of  the methods involved. The main tool here is Hardy Littlewood circle method, and more precisely, getting Kloosterman  refinement work for degree d=4 case.