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SUMMARY:Mat Langford (Australian National University)
DTSTART:20240131T230000Z
DTEND:20240131T235900Z
DTSTAMP:20260423T052925Z
UID:VSGS/83
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/83/">An
 cient solutions to geometric flows with small symmetry groups</a>\nby Mat 
 Langford (Australian National University) as part of Virtual seminar on ge
 ometry with symmetries\n\n\nAbstract\nA useful method for the construction
  of examples of proper solutions to elliptic or parabolic (geometric) part
 ial differential equations involves the reduction of the equation to a sim
 pler one (typically\, an algebraic equation or an ordinary differential eq
 uation) via the imposition of a suitable symmetry Ansatz. I will present s
 ome recent "genuinely parabolic" constructions of ancient solutions to geo
 metric flows (mean curvature flow\, fully nonlinear extrinsic flows and th
 e Ricci flow) which rely on (sometimes <i>much</i>) weaker symmetry Ans&au
 ml\;tze. While the resulting equations are still parabolic partial differe
 ntial equations\, the imposed symmetries nonetheless yield crucial simplif
 ications (e.g. allowing for the exploitation of special properties of geom
 etric flow equations which only hold in low space dimensions).\n
LOCATION:https://researchseminars.org/talk/VSGS/83/
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