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SUMMARY:Positive Geometries of Positive Genus
DTSTART:20260429T090000Z
DTEND:20260429T110000Z
DTSTAMP:20260609T060000Z
UID:indico-event-1411@indico.hiskp.uni-bonn.de
DESCRIPTION:Speakers: Joris Koefler (MPI Leipzig)\n\nBy recent work of Bro
 wn and Dupont\, positive geometries can be understood via mixed Hodge theo
 ry\, in which they arise from genus zero pairs. We show that this new fram
 ework is consistent with the known results for the amplituhedron. However\
 , we also show that most amplituhedra do not make genus zero pairs. We the
 n give an example of a positive genus pair\, that still is a positive geom
 etry\, showing that the framework of Brown and Dupont is not equivalent to
  the original definition\, and thus salvaging hope that amplituhedra are p
 ositive geometries. Based on joint work with Dmitrii Pavlov and Rainer Sin
 n.\n\nhttps://indico.hiskp.uni-bonn.de/event/1411/
URL:https://indico.hiskp.uni-bonn.de/event/1411/
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