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SUMMARY:Damiano Testa (University of Warwick)
DTSTART:20201007T183000Z
DTEND:20201007T200000Z
DTSTAMP:20260423T021707Z
UID:BRAG/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/26/">Co
 ntact in algebraic and tropical geometry</a>\nby Damiano Testa (University
  of Warwick) as part of Brazilian algebraic geometry seminar\n\n\nAbstract
 \nIn recent years\, classical enumerative problems in algebraic geometry h
 ave been converted into statements in tropical geometry.  This approach ha
 s had tremendous success.  In view of the current pandemic\, we will stay 
 away from these popular results.  Rather\, we discuss two isolated cases: 
 the 9 inflection points of plane cubics and the 28 bitangent lines of plan
 e quartics.  The tropical counts yield 3 and 7\, respectively.  We will se
 e how to reconcile these results via positive characteristic. These cases 
 naturally generalize to inflection points of plane curves of arbitrary deg
 ree and theta-characteristics of curves of general type.\n\nThe talk assum
 es minimal familiarity with basic concepts of algebraic geometry over the 
 complex numbers. Positive characteristic and tropical geometry play import
 ant\, but non-technical roles. This is joint work with Marco Pacini.\n\nLi
 nk for the talk will be posted here a few days before the talk.\n
LOCATION:https://researchseminars.org/talk/BRAG/26/
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