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SUMMARY:Hyungryul Harry Baik (Korea Advanced Institute of Science and Tech
 nology\, Korea)
DTSTART:20210326T120000Z
DTEND:20210326T124000Z
DTSTAMP:20260422T225921Z
UID:GTWorkshopTurkeyIII/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTWorkshopTu
 rkeyIII/1/">Asymptotic translation lenghts on the curve complexes and norm
 al subgroups of the mapping class group</a>\nby Hyungryul Harry Baik (Kore
 a Advanced Institute of Science and Technology\, Korea) as part of Geometr
 y & Topology Workshop Turkey III\n\n\nAbstract\nWe investigate the conject
 ural relation between the  asymptotic translation lengths of the mapping c
 lass group action on  the curve complexes and normal subgroups of the mapp
 ing class groups.  We present a moral support to the conjecture coming fro
 m fibered  hyperbolic 3-manifolds\, and also discuss the relation to the i
 nvariant  homology. This talk is based on joint works with subsets of the 
 set  {Eiko Kin\, Dongryul M. Kim\, Hyunshik Shin\, Philippe Tranchida\, Ch
 enxi  Wu}.\n
LOCATION:https://researchseminars.org/talk/GTWorkshopTurkeyIII/1/
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SUMMARY:Sarah C. Koch (University of Michigan\, United States)
DTSTART:20210326T130000Z
DTEND:20210326T134000Z
DTSTAMP:20260422T225921Z
UID:GTWorkshopTurkeyIII/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTWorkshopTu
 rkeyIII/2/">Irreducibility in complex dynamics</a>\nby Sarah C. Koch (Univ
 ersity of Michigan\, United States) as part of Geometry & Topology Worksho
 p Turkey III\n\n\nAbstract\nA major goal in complex dynamics is to underst
 and dynamical  moduli spaces\; that is\, conjugacy classes of holomorphic 
 dynamical  systems. One of the great successes in this regard is the study
  of the  moduli space of quadratic polynomials\; it is isomorphic to the c
 omplex  plane. This moduli space contains the famous Mandelbrot set\, whic
 h has  been extensively studied over the past 40 years. Understanding othe
 r  dynamical moduli spaces to the same extent tends to be more  challengin
 g as they are often higher-dimensional. In this talk\, we  consider the mo
 duli space of quadratic rational maps\, which is  isomorphic to C^2. We wi
 ll focus on special algebraic curves\, called  "Milnor curves" in this spa
 ce. In general\, it is unknown if Milnor  curves are irreducible over C. B
 ecause these curves are smooth\, this  is equivalent to asking whether the
 y 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://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:20260422T225921Z
UID:GTWorkshopTurkeyIII/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GTWorkshopTu
 rkeyIII/3/">Random 3-manifolds with boundary</a>\nby Bram Petri (Mathemati
 cs Institute of Jussieu-Paris Rive Gauche\, Sorbonne University\, France) 
 as part of Geometry & Topology Workshop Turkey III\n\n\nAbstract\nWhen 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-manifold point
 s are the vertices of this complex. So\, if we  truncate the tetrahedra at
  their vertices\, we obtain a random manifold  with boundary. This talk wi
 ll be about the geometry and topology of  that manifold. This is joint wor
 k with Jean Raimbault.\n
LOCATION:https://researchseminars.org/talk/GTWorkshopTurkeyIII/3/
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