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SUMMARY:Ali Ulaş Özgür Kişisel (METU)
DTSTART:20241108T124000Z
DTEND:20241108T134000Z
DTSTAMP:20260423T021303Z
UID:OBAGS/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/54/">I
 rreversible odd degree curves in $\\mathbb{RP}^2$</a>\nby Ali Ulaş Özgü
 r Kişisel (METU) as part of ODTU-Bilkent Algebraic Geometry Seminars\n\n\
 nAbstract\nA smooth hypersurface $X\\subset \\mathbb{RP}^{n+1}$ of degree 
 $d$ is called reversible if its defining homogeneous polynomial $f$ can be
  continuously deformed to $-f$ without creating singularities during the d
 eformation. The question of reversibility was discussed in the paper title
 d ``On the deformation chirality of real cubic fourfolds'' by Finashin and
  Kharlamov. For $n=1$\, the case of plane curves\, and $d\\leq 5$ odd\, it
  is known that all smooth curves of degree $d$ are reversible. Our goal in
  this talk is to present an obstruction for reversibility of odd degree cu
 rves and use it in particular to demonstrate that there exist irreversible
  curves in $\\mathbb{RP}^2$ for all odd degrees $d\\geq 7$. This talk is b
 ased on joint work in progress with Ferit Öztürk.\n
LOCATION:https://researchseminars.org/talk/OBAGS/54/
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