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SUMMARY:Lisa Piccirillo (MIT)
DTSTART:20200623T140000Z
DTEND:20200623T151500Z
DTSTAMP:20260423T041337Z
UID:rlgts/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/rlgts/10/">T
 he trace embedding lemma and PL surfaces</a>\nby Lisa Piccirillo (MIT) as 
 part of Regensburg low-dimensional geometry and topology seminar\n\n\nAbst
 ract\n4-manifold topologists have long been interested in understanding sm
 ooth (resp. topological) embedded surfaces in smooth (resp. topological) 4
 -manifolds\, and as such have developed rich suites of tools for obstructi
 ng the existence of smooth (resp. topological) surfaces. Understanding PL 
 surfaces in smooth 4-manifolds has historically garnered less interest\, b
 ut several problems about PL surfaces have recently arisen in modern lines
  of questioning. Presently there are far fewer tools available to obstruct
  PL surfaces. In this talk\, I’ll discuss how to use a classical observa
 tion\, called the trace embedding lemma\, to repurpose smooth surface obst
 ructions as PL surface obstructions. I’ll discuss applications of these 
 retooled obstructions to problems about spinelessness\, exotica\, and geom
 etrically simply connectedness. This is joint work with Kyle Hayden.\n
LOCATION:https://researchseminars.org/talk/rlgts/10/
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