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SUMMARY:Fuensanta Aroca (UNAM)
DTSTART:20201030T140000Z
DTEND:20201030T150000Z
DTSTAMP:20260423T021005Z
UID:LAGARTOS/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/9/"
 >Tropical geometry in higher rank</a>\nby Fuensanta Aroca (UNAM) as part o
 f (LAGARTOS) Latin American Real and Tropical Geometry Seminar\n\n\nAbstra
 ct\nA valuation \nThe link between algebraic geometry and tropical geometr
 y is given by a valuation from the field to the real numbers. A valuation 
 over the reals is a valuation of rank one. In commutative algebra valuatio
 ns are defined over totally ordered groups.\nThe tropical semiring is the 
 semiring ${\\displaystyle (\\mathbb{R} \\cup \\{+\\infty \\}\,\\oplus \,\\
 otimes)}$\, with the operations $x\\oplus y=\\min\\{x\,y\\}\,\nx\\otimes y
 =x+y$. These operations may be defined for any totally ordered group G.\nW
 hat is the notion of convexity in $G^n$? Are the tropical varieties easy t
 o describe?\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/9/
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