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SUMMARY:Bradley Zykoski (Michigan)
DTSTART:20221117T140500Z
DTEND:20221117T150000Z
DTSTAMP:20260423T003242Z
UID:GaTO/71
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/71/">A 
 polytopal decomposition of strata of translation surfaces</a>\nby Bradley 
 Zykoski (Michigan) as part of Geometry and topology online\n\nLecture held
  in Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbstract
 \nA closed surface can be endowed with a certain locally Euclidean metric 
 structure called a translation surface.  Moduli spaces that parametrize su
 ch structures are called strata.  There is a GL(2\,R)-action on strata\, a
 nd orbit closures of this action are rare gems\, the classification of whi
 ch has been given a huge boost in the past decade by landmark results such
  as the "Magic Wand" theorem of Eskin-Mirzakhani-Mohammadi and the Cylinde
 r Deformation theorem of Wright.  Investigation of the topology of strata 
 is still in its nascency\, although recent work of Calderon-Salter and Cos
 tantini-Möller-Zachhuber indicate that this field is rapidly blossoming. 
  \n\nIn this talk\, I will discuss a way of decomposing strata into finite
 ly many higher-dimensional polytopes.  I will discuss how I have used this
  decomposition to study the topology of strata\, and my ongoing work using
  this decomposition to study the orbit closures of the GL(2\,R)-action.\n
LOCATION:https://researchseminars.org/talk/GaTO/71/
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