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SUMMARY:Gabriel Kerr (Kansas State University)
DTSTART:20200507T203000Z
DTEND:20200507T213000Z
DTSTAMP:20260423T041409Z
UID:M-seminar/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/M-seminar/4/
 ">Phase tropical hypersurfaces</a>\nby Gabriel Kerr (Kansas State Universi
 ty) as part of M-seminar\n\n\nAbstract\nIn this talk\, I will give the def
 inition of the phase tropical hypersurface arising from a polytope with a 
 coherent triangulation. This is a topological version of a singular integr
 able system.  I will discuss aspects of a joint work with I. Zharkov which
  proved that there is a homeomorphism between the phase tropical hypersurf
 ace and a complex hypersurface (this is known as Viro's Conjecture). With 
 this\, Mikhalkin's pair of pants decomposition of a complex hypersurface b
 ecomes a polyhedral decomposition and several Lagrangians arising in mirro
 r symmetry have conjectural accompanying decompositions which are well con
 trolled topologically. I will discuss these subcomplexes and evidence of t
 heir mirrors in matrix factorizations. This is joint work with I. Zharkov.
 \n
LOCATION:https://researchseminars.org/talk/M-seminar/4/
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