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SUMMARY:Ciprian Manolescu (Stanford - USA)
DTSTART:20250117T160000Z
DTEND:20250117T170000Z
DTSTAMP:20260423T022831Z
UID:GEOTOP-A/93
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GEOTOP-A/93/
 ">Generalizations of Rasmussen's invariant</a>\nby Ciprian Manolescu (Stan
 ford - USA) as part of GEOTOP-A seminar\n\n\nAbstract\nOver the last 20 ye
 ars\, the Rasmussen invariant of knots in $\\mathbb{S}^3$ has had a number
  of interesting applications to questions about surfaces in  $\\mathbb{B}^
 4$. In this talk I will survey some recent extensions of the invariant to 
 knots in other three-manifolds: in connected sums of  $\\mathbb{S}^1$ x  $
 \\mathbb{S}^2$ (joint work with Marengon\, Sarkar\, and Willis)\, in  $\\m
 athbb{RP}^3$ (joint work with Willis\, and also separate work of Chen)\, a
 nd in a general setting (work by Morrison\, Walker and Wedrich\; and indep
 endently by Ren-Willis). I will describe how these invariants give bounds 
 on the genus of smooth surfaces in 4-manifolds\, and can even detect exoti
 c 4-manifolds with boundary.\n
LOCATION:https://researchseminars.org/talk/GEOTOP-A/93/
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