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SUMMARY:James Maxwell (University of Bristol)
DTSTART:20230126T151500Z
DTEND:20230126T170000Z
DTSTAMP:20260422T065751Z
UID:CJCS/100
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CJCS/100/">G
 eneralising Kapranov’s Theorem for hyperfields and RAC maps</a>\nby Jame
 s Maxwell (University of Bristol) as part of Copenhagen-Jerusalem Combinat
 orics Seminar\n\n\nAbstract\nKapranov’s theorem is a foundational result
  in tropical geometry. In this talk\nwe will discuss developments towards 
 understanding a generalised hyperfield\nversion of Kapranov’s Theorem. W
 e will establish the relevant building blocks\nfrom the algebraic setting 
 of hyperfields\, which allow addition to be multival-\nued operation. We w
 ill then introduce Relatively Algebraically Closed (RAC)\nhyperfield homom
 orphisms. This property is the key tool leveraged to formulate\na generali
 sed version of Kapranov’s theorem. I will present examples of RAC\nmaps 
 and describe the progress towards the classification of this property. \n\
 nThis will contain joint work with Ben Smith (Manchester).\n
LOCATION:https://researchseminars.org/talk/CJCS/100/
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