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SUMMARY:Grace Garden (University of Sydney)
DTSTART:20221006T130500Z
DTEND:20221006T140000Z
DTSTAMP:20260423T003233Z
UID:GaTO/67
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/67/">Ea
 rthquakes on the once-punctured torus</a>\nby Grace Garden (University of 
 Sydney) as part of Geometry and topology online\n\n\nAbstract\nWe study ea
 rthquake deformations on Teichmüller space associated with simple closed 
 curves of the once-punctured torus. We describe two methods to get an expl
 icit form of the earthquake deformation for any simple closed curve. The f
 irst method is rooted in hyperbolic geometry\, the second representation t
 heory. The two methods align\, providing both a geometric and an algebraic
  interpretation of the earthquake deformations. Pictures are given for ear
 thquakes across multiple coordinate systems for Teichmüller space. Two fa
 milies of curves are used as examples. Examining the limiting behaviour of
  each gives insight into earthquakes about measured geodesic laminations\,
  of which simple closed curves are a special case.\n
LOCATION:https://researchseminars.org/talk/GaTO/67/
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