Singularities in Mixed Characteristic
发布时间:2019年12月19日
浏览次数:6502
发布者: Meng Yu
主讲人: Linquan Ma (Purdue University)
活动时间: 从 2019-12-24 15:00 到 16:00
场地: Room 77201, Jingchunyuan 78, BICMR
Abstract: We discuss some recent work studying singularities in mixed characteristic and the first steps towards applications in birational geometry. We introduce mixed characteristic versions of klt/plt singularities and multiplier/adjoint ideals and prove the analogous properties. The theory relies on Andre's work on the existence of perfectoid big Cohen-Macaulay algebras in a weakly functorial sense. Joint work with Karl Schwede, Kevin Tucker, Joe Waldron, and Jakub Witaszek.