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SUMMARY:Hyungryul Harry Baik (Korea Advanced Institute of Science and Tech
 nology\, Korea)
DTSTART:20210326T120000Z
DTEND:20210326T124000Z
DTSTAMP:20260404T111447Z
UID:GTWorkshopTurkeyIII/1
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GTWor
 kshopTurkeyIII/1/">Asymptotic translation lenghts on the curve complexes a
 nd normal subgroups of the mapping class group</a>\nby Hyungryul Harry Bai
 k (Korea Advanced Institute of Science and Technology\, Korea) as part of 
 Geometry & Topology Workshop Turkey III\n\n\nAbstract\nWe investigate the 
 conjectural relation between the  asymptotic translation lengths of the ma
 pping class group action on  the curve complexes and normal subgroups of t
 he mapping class groups.  We present a moral support to the conjecture com
 ing from fibered  hyperbolic 3-manifolds\, and also discuss the relation t
 o the invariant  homology. This talk is based on joint works with subsets 
 of the set  {Eiko Kin\, Dongryul M. Kim\, Hyunshik Shin\, Philippe Tranchi
 da\, Chenxi  Wu}.\n
LOCATION:https://stable.researchseminars.org/talk/GTWorkshopTurkeyIII/1/
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SUMMARY:Sarah C. Koch (University of Michigan\, United States)
DTSTART:20210326T130000Z
DTEND:20210326T134000Z
DTSTAMP:20260404T111447Z
UID:GTWorkshopTurkeyIII/2
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GTWor
 kshopTurkeyIII/2/">Irreducibility in complex dynamics</a>\nby Sarah C. Koc
 h (University of Michigan\, United States) as part of Geometry & Topology 
 Workshop Turkey III\n\n\nAbstract\nA major goal in complex dynamics is to 
 understand dynamical  moduli spaces\; that is\, conjugacy classes of holom
 orphic dynamical  systems. One of the great successes in this regard is th
 e study of the  moduli space of quadratic polynomials\; it is isomorphic t
 o the complex  plane. This moduli space contains the famous Mandelbrot set
 \, which has  been extensively studied over the past 40 years. Understandi
 ng other  dynamical moduli spaces to the same extent tends to be more  cha
 llenging as they are often higher-dimensional. In this talk\, we  consider
  the moduli space of quadratic rational maps\, which is  isomorphic to C^2
 . We will focus on special algebraic curves\, called  "Milnor curves" in t
 his space. In general\, it is unknown if Milnor  curves are irreducible ov
 er C. Because these curves are smooth\, this  is equivalent to asking whet
 her they are connected. We will exhibit  the first infinite collection of 
 Milnor curves that are connected.  This is joint work with X. Buff and A. 
 Epstein.\n
LOCATION:https://stable.researchseminars.org/talk/GTWorkshopTurkeyIII/2/
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SUMMARY:Bram Petri (Mathematics Institute of Jussieu-Paris Rive Gauche\, S
 orbonne University\, France)
DTSTART:20210326T140000Z
DTEND:20210326T144000Z
DTSTAMP:20260404T111447Z
UID:GTWorkshopTurkeyIII/3
DESCRIPTION:Title: <a href="https://stable.researchseminars.org/talk/GTWor
 kshopTurkeyIII/3/">Random 3-manifolds with boundary</a>\nby Bram Petri (Ma
 thematics Institute of Jussieu-Paris Rive Gauche\, Sorbonne University\, F
 rance) as part of Geometry & Topology Workshop Turkey III\n\n\nAbstract\nW
 hen one glues a finite number of tetrahedra together along  their faces at
  random\, the probability that the resulting complex is a  manifold tends 
 to zero as the number of tetrahedra grows. However\, the  only non-manifol
 d points are the vertices of this complex. So\, if we  truncate the tetrah
 edra at their vertices\, we obtain a random manifold  with boundary. This 
 talk will be about the geometry and topology of  that manifold. This is jo
 int work with Jean Raimbault.\n
LOCATION:https://stable.researchseminars.org/talk/GTWorkshopTurkeyIII/3/
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