Special Lecture Series in Number TheorySpeaker:Kentaro Inoue (Kyoto University)Time:2:30-4:00 pm, Nov. 28, 2025;10:00-11:30 am, Dec. 2 & 4, 2025Venue:A513, Shuangqing Complex Building AOnline:Zoom Meeting ID: 687 513 9542Passcode: YMSCTitle:Log prismatic Dieudonne theory and its application to Shimura varietiesAbstract:Kato introduced the notion of log abelian varieties and log p-divisible...
AbstractThe Deligne-Simpson problem asks for a criterion of the existence of connections on an algebraic curve with prescribed singularities at punctures. We give a solution to a generalization of this problem to G-connections on P^1 with a regular singularity and an irregular singularity (satisfying a condition called isoclinic). Here G can be any complex reductive group. Perhaps surprisingly,...