BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//wp-events-plugin.com//7.2.3.1//EN
TZID:Europe/Paris
X-WR-TIMEZONE:Europe/Paris
BEGIN:VEVENT
UID:7817@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20160513T110000
DTEND;TZID=Europe/Paris:20160513T130000
DTSTAMP:20241210T142306Z
URL:https://www.i2m.univ-amu.fr/evenements/combinatorial-rigidity-of-compl
 exes-of-curves-and-multicurves-jesus-hernandez-hernandez/
SUMMARY:Jésus Hernández Hernández (I2M\, Aix-Marseille Université): Com
 binatorial rigidity of complexes of curves and multicurves
DESCRIPTION:Jésus Hernández Hernández: Dans le cadre de la Journée de c
 onférences organisée par Hamish Short autour de la thèse de Jesús Hern
 ández Hernández.\n\nhttp://www.theses.fr/2017LEMA1018\nCombinatorial rig
 idity of complexes of curves and multicurves\nSuppose S = Sg\,n is an orie
 ntable connected surface of finite topological type\, with genus g ≥ 3 a
 nd n ≥ 0 punctures. In the first two chapters we describe the principal 
 set of a surface\, and prove that through iterated rigid expansions we can
  create an increasing sequence of finite sets whose union in the curve com
 plex of the surface C(S). In the third chapter we introduced Aramayona and
  Leininger's finite rigid set X(S) and use it to prove that the increasing
  sequence of the previous two chapters becomes an increasing sequence of f
 inite rigid sets after\, at most\, the fifth iterated rigid expansion. We 
 use this to prove that given S1 = Sg1\,n1 and S2 = Sg2\,n2 surfaces such t
 hat k(S1) ≥ k(S2) and g1 ≥ 3\, any edge-preserving map from C(S1) to C
 (S2) is induced by a homeomorphism from S1 to S2. This is later used to pr
 ove a similar statement using homomorphisms from certain subgroups of Mod*
 (S1) to Mod*(S2). In the fourth chapter we use the previous results to pro
 ve that the only way to obtain an edge-preserving and alternating map from
  the Hatcher-Thurston graph of S1 = Sg\,0\, HT(S1)\, to the Hatcher-Thurst
 on graph of S2 = Sg\,n\, HT(S2)\, is using a homeomorphism of S1 and then 
 make n punctures to the surface to obtain S2. As a consequence\, any edge-
 preserving and alternating self-map of HT(S) as well as any automorphism i
 s induced by a homeomorphism. In the fifth chapter we prove that any super
 injective map from the nonseparating and outer curve graph of S1\, NO(S1)\
 , to that of S2\, NO(S2)\, is induced by a homeomorphism assuming the same
  conditions as in the previous chapters. Finally\, in the conclusions we d
 iscuss the meaning of these results and possible ways to expand them.\nSou
 s la direction de Hamish Short et de Javier Aramayona.\n\nSoutenue le 13-0
 5-2016\n\nà Aix-Marseille \, dans le cadre de  Ecole Doctorale Mathémati
 ques et Informatique de Marseille (Marseille) .\nLe président du jury ét
 ait Pascal Hubert.\nLes rapporteurs étaient Mustapha Korkmaz\, Gregory Mc
 Shane.
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 016/05/Jesus_Hernandez_Hernandez.jpg
CATEGORIES:Soutenance de thèse,GDAC
END:VEVENT
BEGIN:VTIMEZONE
TZID:Europe/Paris
X-LIC-LOCATION:Europe/Paris
BEGIN:DAYLIGHT
DTSTART:20160327T030000
TZOFFSETFROM:+0100
TZOFFSETTO:+0200
TZNAME:CEST
END:DAYLIGHT
END:VTIMEZONE
END:VCALENDAR