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SUMMARY:Johannes Rau (Universidad de los Andes)
DTSTART:20230228T190000Z
DTEND:20230228T200000Z
DTSTAMP:20260423T024618Z
UID:Matroids/38
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/Matroids/38/
 ">The Lefschetz-Hopf trace formula for matroidal automorphisms</a>\nby Joh
 annes Rau (Universidad de los Andes) as part of Matroids - Combinatorics\,
  Algebra and Geometry Seminar\n\nLecture held in Room 210 The Fields Insti
 tute.\n\nAbstract\nThe Lefschetz-Hopf trace formula is a beautiful topolog
 ical statement that relates the fixed points of a map to an alternating su
 m of traces on homology groups. The related Poincaré-Hopf index formula c
 omputes the Euler characteristic of a space in terms of the zeros of a vec
 tor field. In my talk\, I want to present analogous statements in tropical
  geometry\, in particular\, for matroid fans. In doing so\, we use two ing
 redients that have received much attention over the last years: tropical h
 omology on the homology side and tropical intersection theory on the fixed
  point/vector field side. The two sides will be connected using a certain 
 variant of the beta invariant.\n
LOCATION:https://researchseminars.org/talk/Matroids/38/
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