BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Andreas Gross (U. Frankfurt)
DTSTART:20230210T140000Z
DTEND:20230210T150000Z
DTSTAMP:20260423T021059Z
UID:LAGARTOS/54
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/54/
 ">Vector bundles in tropical geometry</a>\nby Andreas Gross (U. Frankfurt)
  as part of (LAGARTOS) Latin American Real and Tropical Geometry Seminar\n
 \n\nAbstract\nAlthough tropical vector bundles have been introduced by All
 ermann ten years ago\, very little has been said about their structure and
  their relation to vector bundles on algebraic varieties. I will present r
 ecent work with Martin Ulirsch and Dmitry Zakharov that changes exactly th
 is in the case of curves: we prove analogues of the Weil-Riemann-Roch theo
 rem and the Narasimhan-Seshadri correspondence for tropical vector bundles
  on tropical curves. We also show that the non-Archimedean skeleton of the
  moduli space of semistable vector bundles on a Tate curve is isomorphic t
 o a certain component of the moduli space of semistable tropical vector bu
 ndles on its dual metric graph. Time permitting I will also report on work
  in progress with Inder Kaur\, Martin Ulirsch\, and Annette Werner and exp
 lain some of the difficulties that arise when generalizing beyond the case
  of curves to Abelian varieties of arbitrary dimension.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/54/
END:VEVENT
END:VCALENDAR