Compactifying Moduli spaces of Kahler-Einstein manifolds via Gromov-Hausdorff limits (注意:開始時刻は14:40です)

開催日時
2014/07/22 火 14:30 - 16:15
場所
6号館609号室
講演者
尾高悠志
講演者所属
京大理
概要

(世話人からの注意:講演時間は14:40‐16:10です.機械の誤作動で表示がずれています.)

I have been imagining projective (coarse) moduli varieties of K-(semi)stable varieties ("K-moduli”) but it looks rather hard to execute the construction in purely algebraic way. In this talk, via Gromov-Hausdorff limits, we compactify various moduli varieties. As a part, it includes the K-moduli construction of del Pezzo surfaces, studied together with C.Spotti and S.Sun.

Modifying the idea crucially, I also introduce "Tropical Geometric compactification" of M_g, and A_g. They are NOT the K-moduli, as they are not even schemes. (Simply, the Deligne-Mumford compactification is the K-moduli). These are related to tropical geometry and Berkovich (non-archimedean analytic) geometry.