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SUMMARY:Rohini Ramadas (Warwick)
DTSTART:20240509T130500Z
DTEND:20240509T140000Z
DTSTAMP:20260423T003238Z
UID:GaTO/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GaTO/100/">T
 hurston theory in complex dynamics: a tropical perspective</a>\nby Rohini 
 Ramadas (Warwick) as part of Geometry and topology online\n\nLecture held 
 in Room B3.02 in the Zeeman Building\, University of Warwick.\n\nAbstract\
 nA rational function in one complex variable defines a branched covering f
 rom Riemann sphere $\\mathbb{CP}^1$ to itself. In the 1980s\, William Thur
 ston proved a theorem addressing the question: which branched coverings of
  the topological sphere $S^2$ are (suitably equivalent to) rational functi
 ons on $\\mathbb{CP}^1$? Thurston’s theorem is still central in one-vari
 able complex and arithmetic dynamics.\n\nTropical geometry is a field in w
 hich polyhedral geometry and combinatorics are used to describe degenerati
 ons in algebraic geometry. There are connections with geometric group theo
 ry\; for example\, Culler-Vogtmann Outer Space is closely related to the s
 pace of tropical curves.\n\nI will introduce Thurston’s theorem and desc
 ribe a connection with tropical geometry.\n
LOCATION:https://researchseminars.org/talk/GaTO/100/
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