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SUMMARY:Cristhian Garay (Centro de Investigación en Matemáticas (CIMAT)\
 , Guanajuato)
DTSTART:20230206T221000Z
DTEND:20230206T234500Z
DTSTAMP:20260423T052332Z
UID:NTC/20
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTC/20/">An 
 invitation to the algebraic geometry over idempotent semirings (Lecture 1 
 of 2)</a>\nby Cristhian Garay (Centro de Investigación en Matemáticas (C
 IMAT)\, Guanajuato) as part of Lethbridge number theory and combinatorics 
 seminar\n\nLecture held in University of Lethbridge: B716 (University Hall
 ).\n\nAbstract\nIdempotent semirings have been relevant in several branche
 s of applied mathematics\, like formal languages and combinatorial optimiz
 ation.\n\n\nThey were brought recently to pure mathematics thanks to its l
 ink with tropical geometry\, which is a relatively new branch of mathemati
 cs that has been useful in solving some problems and conjectures in classi
 cal algebraic geometry. \n\n\nHowever\, up to now we do not have a proper 
 algebraic formalization of what could be called “Tropical Algebraic Geom
 etry”\, which is expected to be the geometry arising from idempotent sem
 irings. \n\n\nIn this mini course we aim to motivate the necessity for suc
 h theory\, and we recast some old constructions in order theory in terms o
 f commutative algebra of semirings and modules over them.\n
LOCATION:https://researchseminars.org/talk/NTC/20/
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