Director’s Cuts is excited to announce the first talk of 2023, given by Dr. Dóminique Kemp (Institute for Advanced Study), on An Introduction to the Decoupling of Higher Dimensional, Zero Curvature Hypersurfaces. Here is an abstract:
The ruled hypersurfaces are distinguished by being comprised of lines. When this characteristic exists as a consequence of vanishing principal curvatures, it yields possibilities for comparison with cylinders extending over lower-dimensional surfaces. In this way, the decoupling for the cone was secured by Bourgain-Demeter, and the decoupling for tangent developable surfaces in \R^3 not too long after. In this talk, we show how the analysis executed there may be generalized to the higher-dimensional analogues of the tangent developables.
Dr. Kemp will also kindly host an office hour on Thursday, February 23, from 4-5pm US Eastern time to discuss the talk with interested viewers. Zoom Meeting ID: 812 955 1821. Join Zoom Meeting: https://uwmadison.zoom.us/j/8129551821
Anyone is welcome to join!