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SUMMARY:Robert Haslhofer (University of Toronto)
DTSTART:20231115T120000Z
DTEND:20231115T140000Z
DTSTAMP:20260423T041342Z
UID:NCTS-GMT/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NCTS-GMT/19/
 ">Mean curvature flow with surgery</a>\nby Robert Haslhofer (University of
  Toronto) as part of NCTS international Geometric Measure Theory seminar\n
 \n\nAbstract\nFlows with surgery are a powerful method to evolve geometric
  shapes\, and have found many important applications in geometry and topol
 ogy. In this talk\, I will describe a new method to establish existence of
  flows with surgery. In contrast to all prior constructions of flows with 
 surgery in the literature\, our new approach does not require any a priori
  estimates in the smooth setting. Instead\, our approach uses geometric me
 asure theory\, building in particular on the work of Brakke and White. We 
 illustrate our method in the classical setting of mean-convex surfaces in 
 R$^3$\, thus giving a new proof of the existence results due to Brendle-Hu
 isken and Kleiner and myself. Moreover\, our new method also enables the c
 onstruction of flows with surgery in situations that have been inaccessibl
 e with prior techniques\, including in particular the free-boundary settin
 g.\n
LOCATION:https://researchseminars.org/talk/NCTS-GMT/19/
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