代数幾何学セミナー

過去の記録 ~08/06次回の予定今後の予定 08/07~

開催情報 火曜日 15:30~17:00 数理科学研究科棟(駒場) 122号室
担当者 權業 善範・中村 勇哉・田中公

2008年03月14日(金)

16:30-18:00   数理科学研究科棟(駒場) 126号室
David Morrison 氏 (UC Santa Barbara)
Understanding singular algebraic varieties via string theory
[ 講演概要 ]
String theory has helped to formulate two major new insights in the study of singular algebraic varieties. The first -- which also arose from symplectic geometry -- is that families of Kaehler metrics are an important tool in uncovering the structure of singular algebraic varieties. The second, more recent insight -- related to independent work in the representation theory of associative algebras -- is that one's understanding of a singular (affine) algebraic variety is enhanced if one can find a non-commutative ring whose center is the coordinate ring of the variety. We will describe both of these insights, and explain how they are related to string theory.