Arnold's seminar,
May 7, 2002

G. Mikhalkin (S-Peterbsburg and Utah)
 "Tropicheskaya algebraicheskaya geometriya"  

Tropicheskoe polukolco -- eto polukolco vescestvennyx chisel
s dvumya algebraicheskimi operaciyami, vzyatiem maksimuma i
slozheniem. Ob'ekty takogo roda aktivno izuchayutsya, v
chastnosti, v informatike kak ob'ekty, rodstvennye bulevym
kolcam. (Tropicheskoe nazvanie bylo dano francuzskimi
informatikami v chest brazilskogo matematika Imre Simona.)
Okazyvaetsya, chto geometricheskie objekty, associirovannye
s tropicheskimi mnogochlenami, prosce chem ix klassicheskie
analogi. V to zhe vremya tropicheskie mnogoobraziya modeliruyut
kompleksnye i vescestvennye algebraicheskie mnogoobraziya,
a takzhe mogut byt imi approksimirovany. V doklade budet
rassmotren ryad primerov.