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BEGIN:VEVENT
UID:2e983a87e3691f5a4213b564d52be491
CATEGORIES:Topology/Geometry Seminar
CREATED:20210316T090435
SUMMARY:Partially hyperbolic diffeomorphisms in hyperbolic 3-manifolds
LOCATION:zoom link:  https://rutgers.zoom.us/j/96007672653?pwd=UkhZV0l0WWNVenFqY1FYd
 jVydkVyQT09
DESCRIPTION:<p>We analyze partially hyperbolic diffeomorphisms in<br style="color: #201
 f1e; font-family: 'Segoe UI', 'Segoe UI Web (West European)', 'Segoe UI', -
 apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; fon
 t-size: 15px; font-weight: 400; letter-spacing: normal; orphans: 2; text-al
 ign: start; text-indent: 0px; text-transform: none; white-space: normal; wi
 dows: 2; word-spacing: 0px; background-color: #ffffff;" />hyperbolic 3-mani
 folds and show that up to iterates<br style="color: #201f1e; font-family: '
 Segoe UI', 'Segoe UI Web (West European)', 'Segoe UI', -apple-system, Blink
 MacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-size: 15px; font-
 weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-in
 dent: 0px; text-transform: none; white-space: normal; widows: 2; word-spaci
 ng: 0px; background-color: #ffffff;" />they are either i) discretized Anoso
 v flows, or ii) a<br style="color: #201f1e; font-family: 'Segoe UI', 'Segoe
  UI Web (West European)', 'Segoe UI', -apple-system, BlinkMacSystemFont, Ro
 boto, 'Helvetica Neue', sans-serif; font-size: 15px; font-weight: 400; lett
 er-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text-t
 ransform: none; white-space: normal; widows: 2; word-spacing: 0px; backgrou
 nd-color: #ffffff;" />double translation example. Case i) means that there 
 is<br style="color: #201f1e; font-family: 'Segoe UI', 'Segoe UI Web (West E
 uropean)', 'Segoe UI', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetic
 a Neue', sans-serif; font-size: 15px; font-weight: 400; letter-spacing: nor
 mal; orphans: 2; text-align: start; text-indent: 0px; text-transform: none;
  white-space: normal; widows: 2; word-spacing: 0px; background-color: #ffff
 ff;" />a topological Anosov flow in the manifold M so that the<br style="co
 lor: #201f1e; font-family: 'Segoe UI', 'Segoe UI Web (West European)', 'Seg
 oe UI', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-s
 erif; font-size: 15px; font-weight: 400; letter-spacing: normal; orphans: 2
 ; text-align: start; text-indent: 0px; text-transform: none; white-space: n
 ormal; widows: 2; word-spacing: 0px; background-color: #ffffff;" />diffeomo
 rphism is a variable time map of this flow. In<br style="color: #201f1e; fo
 nt-family: 'Segoe UI', 'Segoe UI Web (West European)', 'Segoe UI', -apple-s
 ystem, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-size:
  15px; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: st
 art; text-indent: 0px; text-transform: none; white-space: normal; widows: 2
 ; word-spacing: 0px; background-color: #ffffff;" />particular this implies 
 that the diffeomorphism is<br style="color: #201f1e; font-family: 'Segoe UI
 ', 'Segoe UI Web (West European)', 'Segoe UI', -apple-system, BlinkMacSyste
 mFont, Roboto, 'Helvetica Neue', sans-serif; font-size: 15px; font-weight: 
 400; letter-spacing: normal; orphans: 2; text-align: start; text-indent: 0p
 x; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px;
  background-color: #ffffff;" />dynamically coherent. We do a further analys
 is of the<br style="color: #201f1e; font-family: 'Segoe UI', 'Segoe UI Web 
 (West European)', 'Segoe UI', -apple-system, BlinkMacSystemFont, Roboto, 'H
 elvetica Neue', sans-serif; font-size: 15px; font-weight: 400; letter-spaci
 ng: normal; orphans: 2; text-align: start; text-indent: 0px; text-transform
 : none; white-space: normal; widows: 2; word-spacing: 0px; background-color
 : #ffffff;" />second case and prove geometric properties in a finite<br sty
 le="color: #201f1e; font-family: 'Segoe UI', 'Segoe UI Web (West European)'
 , 'Segoe UI', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', 
 sans-serif; font-size: 15px; font-weight: 400; letter-spacing: normal; orph
 ans: 2; text-align: start; text-indent: 0px; text-transform: none; white-sp
 ace: normal; widows: 2; word-spacing: 0px; background-color: #ffffff;" />co
 ver and for an iterate. This geometric properties imply that<br style="colo
 r: #201f1e; font-family: 'Segoe UI', 'Segoe UI Web (West European)', 'Segoe
  UI', -apple-system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-ser
 if; font-size: 15px; font-weight: 400; letter-spacing: normal; orphans: 2; 
 text-align: start; text-indent: 0px; text-transform: none; white-space: nor
 mal; widows: 2; word-spacing: 0px; background-color: #ffffff;" />the center
  leaves can be obtained by collapsing flow lines<br style="color: #201f1e; 
 font-family: 'Segoe UI', 'Segoe UI Web (West European)', 'Segoe UI', -apple
 -system, BlinkMacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-siz
 e: 15px; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: 
 start; text-indent: 0px; text-transform: none; white-space: normal; widows:
  2; word-spacing: 0px; background-color: #ffffff;" />of an associated topol
 ogical Anosov flow. Together these<br style="color: #201f1e; font-family: '
 Segoe UI', 'Segoe UI Web (West European)', 'Segoe UI', -apple-system, Blink
 MacSystemFont, Roboto, 'Helvetica Neue', sans-serif; font-size: 15px; font-
 weight: 400; letter-spacing: normal; orphans: 2; text-align: start; text-in
 dent: 0px; text-transform: none; white-space: normal; widows: 2; word-spaci
 ng: 0px; background-color: #ffffff;" />results imply that if M^3 hyperbolic
  admits a partially<br style="color: #201f1e; font-family: 'Segoe UI', 'Seg
 oe UI Web (West European)', 'Segoe UI', -apple-system, BlinkMacSystemFont, 
 Roboto, 'Helvetica Neue', sans-serif; font-size: 15px; font-weight: 400; le
 tter-spacing: normal; orphans: 2; text-align: start; text-indent: 0px; text
 -transform: none; white-space: normal; widows: 2; word-spacing: 0px; backgr
 ound-color: #ffffff;" />hyperbolic diffeomorphism then&nbsp; it admits an A
 nosov flow.</p>
CONTACT:Sergio Fenley (Florida State)
DTSTAMP:20260827T103211
DTSTART;TZID=America/New_York:20210323T155000
DTEND;TZID=America/New_York:20210323T165000
SEQUENCE:0
TRANSP:OPAQUE
END:VEVENT
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