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UID:d3aa978da1926aba0cdc51db77fc2b6e
CATEGORIES:Topology/Geometry Seminar
CREATED:20240316T153707
SUMMARY:Braid positivity, taut foliations, and unknot detection
LOCATION:Hill 705
DESCRIPTION:<p>Seminar website:&nbsp;<a href="https://sites.google.com/view/rutgersgeom
 etrytopologysem2324/home">https://sites.google.com/view/rutgersgeometrytopo
 logysem2324</a></p>
CONTACT:Siddhi Krishna (Columbia University)
X-EXTRAINFO:Abstract:\nThe L-space conjecture predicts that three seemingly different w
 ays to measure the "size" of a 3-manifold are equivalent. In particular, it
  predicts that a manifold with the "extra" geometric structure of a taut fo
 liation also has "extra" Heegaard Floer homology. In this talk, I'll discus
 s the motivation for this conjecture, and describe some new results which p
 roduce taut foliations by leveraging special properties of positive braid k
 nots. Along the way, we will produce some novel obstructions to braid posit
 ivity. I will not assume any background knowledge in Floer or foliation the
 ories; all are welcome!
DTSTAMP:20260828T184850
DTSTART;TZID=America/New_York:20240319T160000
DTEND;TZID=America/New_York:20240319T170000
SEQUENCE:0
TRANSP:OPAQUE
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