Lie Groups and Representation Theory

Seminar information archive ~02/28Next seminarFuture seminars 02/29~

Date, time & place Tuesday 16:30 - 18:00 126Room #126 (Graduate School of Math. Sci. Bldg.)


17:00-18:00   Room #Online (Graduate School of Math. Sci. Bldg.)
Yoshiki Oshima (Osaka University, Graduate School of Information Science and Technology)
Compactification of locally symmetric spaces and collapsing of canonical Kahler metrics (Japanese)
[ Abstract ]
The moduli spaces of Abelian varieties and K3 surfaces are known to have a structure of locally symmetric spaces. Around 1960, a finite number of compactifications of locally symmetric spaces are constructed by Ichiro Satake. In this talk, based on a joint work with Yuji Odaka (arXiv:1810:07685), we will see that one of Satake compactifications parametrizes limits of canonical (Ricci-flat) Kahler metrics on Abelian varieties and K3 surfaces.