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UID:fe31c40cdcca9f371299119fc677e23a
CATEGORIES:Symplectic Geometry Seminar
CREATED:20231105T095847
SUMMARY:On the Hofer Zehnder Conjecture for Semipositive Symplectic Manifolds
LOCATION:Hill 705
DESCRIPTION:<p dir="ltr" style="line-height: 1.6667; margin-left: 15pt; margin-top: 9pt
 ; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Lato; col
 or: #212121; background-color: transparent; font-weight: bold; font-style: 
 normal; font-variant: normal; text-decoration: none; vertical-align: baseli
 ne; white-space: pre-wrap;">Speaker: Han Lou (University of Georgia)</span>
 </p><p dir="ltr" style="line-height: 1.6667; margin-left: 15pt; margin-top:
  9pt; margin-bottom: 0pt;"><span style="font-size: 11pt; font-family: Lato;
  color: #212121; background-color: transparent; font-weight: bold; font-sty
 le: normal; font-variant: normal; text-decoration: none; vertical-align: ba
 seline; white-space: pre-wrap;">Title: </span><span style="font-size: 12pt;
  font-family: Lato; color: #242424; background-color: transparent; font-wei
 ght: 400; font-style: normal; font-variant: normal; text-decoration: none; 
 vertical-align: baseline; white-space: pre-wrap;">On the Hofer Zehnder Conj
 ecture for Semipositive Symplectic Manifolds</span></p><p dir="ltr" style="
 line-height: 1.6667; margin-left: 15pt; margin-top: 9pt; margin-bottom: 0pt
 ;"><span style="font-size: 12pt; font-family: Lato; color: #242424; backgro
 und-color: transparent; font-weight: bold; font-style: normal; font-variant
 : normal; text-decoration: none; vertical-align: baseline; white-space: pre
 -wrap;">Abstract: </span><span style="font-size: 12pt; font-family: Lato; c
 olor: #242424; background-color: transparent; font-weight: 400; font-style:
  normal; font-variant: normal; text-decoration: none; vertical-align: basel
 ine; white-space: pre-wrap;">Arnold conjecture says that the number of 1-pe
 riodic orbits of a Hamiltonian diffeomorphism is greater than or equal to t
 he dimension of the Hamiltonian Floer homology. In 1994, Hofer and Zehnder 
 conjectured that there are infinitely many periodic orbits if the equality 
 doesn't hold. In this talk, I will show that the Hofer-Zehnder conjecture i
 s true for semipositive symplectic manifolds with semisimple quantum homolo
 gy. This is a joint work with Marcelo Atallah.</span><span style="font-size
 : 11pt; font-family: Lato; color: #000000; background-color: transparent; f
 ont-weight: 400; font-style: normal; font-variant: normal; text-decoration:
  none; vertical-align: baseline; white-space: pre-wrap;"></span></p>
CONTACT:Han Lou
DTSTAMP:20260907T052640
DTSTART;TZID=America/New_York:20231109T133000
DTEND;TZID=America/New_York:20231109T143000
SEQUENCE:0
TRANSP:OPAQUE
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