Institute of Mathematical Sciences
Time🚣🏽：4:00pm-5:00pm, Aug 1, Wednesday
Location：Room 302, Library
Speaker: Li Yang from Imperial college
Host: Chen Xiuxiong
Title:Dirichlet problem for maximal graphs of higher codimension
Abstract:Maximal submanifolds in Lorentzian type ambient spacesare the formal analogues of minimal submanifolds in Euclidean spaces, which arise naturally in adiabatic problems for G2 manifolds. We obtain general existence and uniqueness results for the Dirichlet problem of graphical maximal submanifolds in any codimension, which stand in sharp contrast to the analogous problem for graphical minimal.