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SUMMARY:Metric ribbon graphs [MPIM]
DTSTART:20250715T090000Z
DTEND:20250715T100000Z
DTSTAMP:20260420T151800Z
UID:indico-event-556@math-events.uni-bonn.de
DESCRIPTION:Speakers: Ivan Yakovlev (MPIM)\n\nLow-dimensional topology sem
 inar\nMetric ribbon graphs (MRG) are graphs embedded into surfaces equippe
 d with positive edge lengths. Functions counting MRG's with given boundary
  lengths are a priori piecewise polynomials\, but in some cases become hon
 est polynomials.\nI will first present one such case -- Kontsevich's polyn
 omials counting trivalent MRG's (from his proof of Witten's conjecture abo
 ut intersection numbers on the moduli spaces of curves)\, and explain how 
 they are used to study hyperbolic and flat surfaces.\nI will then describe
  other instances of this phenomenon that I have worked on\, their applicat
 ions\, and a project to understand the combinatorics underlying the counti
 ng functions and the corresponding intersection numbers.\n\nhttps://math-e
 vents.uni-bonn.de/event/556/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/556/
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