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SUMMARY:Pants decompositions and dynamics on moduli spaces [Lecture]
DTSTART:20251110T080000Z
DTEND:20251110T084500Z
DTSTAMP:20260415T100700Z
UID:indico-event-886@math-events.uni-bonn.de
DESCRIPTION:Speakers: Aaron Calderon\n\n\nEvery closed hyperbolic surface 
 X (or Riemann surface or smooth algebraic curve over C) can be described b
 y gluing together pairs of pants (three-holed spheres). Each X can be glue
 d out of pants in many different ways\, and Mirzakhani showed that the cou
 nt of these decompositions is closely related to a certain Hamiltonian flo
 w on the moduli space of hyperbolic surfaces. In the field of Teichmüller
  dynamics\, counting problems on flat surfaces can be related to a differe
 nt dynamical system on a different moduli space\, which\, by work of Eskin
 --Mirzakhani--Mohammadi and Filip\, is in turn controlled by special algeb
 raic subvarieties. In this talk\, I will survey some of these results and 
 describe a bridge between the two worlds that can be used to transfer theo
 rems between flat and hyperbolic geometry.\n\n \n\nhttps://math-events.un
 i-bonn.de/event/886/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/886/
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