代数幾何学セミナー

過去の記録 ~04/22次回の予定今後の予定 04/23~

開催情報 金曜日 13:30~15:00 数理科学研究科棟(駒場) ハイブリッド開催/117号室
担当者 權業 善範、中村 勇哉、田中 公

2007年09月26日(水)

16:30-18:00   数理科学研究科棟(駒場) 126号室
Grigory Mikhalkin 氏 (Toronto大学)
Floor diagrams and enumeration of tropical curves
[ 講演概要 ]
The enumerative problems considered in this talk are finding the number of curves in projective spaces (over complex, real and tropical numbers) of given genus and degree constrained by certain incidence conditions (e.g. passing via points or lines). Floor diagrams are a combinatorial tool that reduces an enumerative problem in dimension n to the corresponding problem n dimension n-1. Floor diagrams give a constructive (and rather efficient) way to find all tropical curves for a given enumerative problem. And once we have a tropical solution of the problem we can use it to solve the corresponding problems over the complex and real numbers.