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SUMMARY:Boris Doubrov
DTSTART:20231011T162000Z
DTEND:20231011T180000Z
DTSTAMP:20260423T023020Z
UID:GDEq/95
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDEq/95/">Ex
 trinsic geometry and linear differential equations of SL(3)-type</a>\nby B
 oris Doubrov as part of Geometry of differential equations seminar\n\n\nAb
 stract\nAs an application of the general theory on extrinsic geometry\, we
  investigate extrinsic geometry of submanifolds in flag varieties and syst
 ems of linear PDEs for a class of special interest associated with the adj
 oint representation of SL(3). It may be seen as a contact generalization o
 f the classical description of surfaces in P^3 in terms of two linear PDEs
  of second order.\n\nWe carry out a complete local classification of the h
 omogeneous structures in this class. As a result\, we find 7 kinds of new 
 systems of linear PDE's of second order on a 3-dimensional contact manifol
 d each of which has a solution space of dimension 8. Among them there are 
 included a system of PDE's called contact Cayley's surface and one which h
 as SL(2) symmetry.\n\nJoint work with Tohru Morimoto.\n
LOCATION:https://researchseminars.org/talk/GDEq/95/
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