Title: Special test configuration and K-stablity

Time: November 22, 2011, 10:10-12:00 am

Speaker: 许晨阳(北京国际数学研究中心)

Venue: Room 09 at Quan-Zhai (全斋), New location for BICMR, Peking University

Abstract:(with Chi Li) In this talk, I will discuss our recent work of using the minimal model program to simplify a given test configuration. As an application, we show that to test K-polystability or K-semistability of a Fano manifold of Picard number 1, it suffices to only look at the test configurations with the central fiber with at worst klt singularity. In particular, in this case this proves and improves the conjecture (due to Tian) that we only need to study the test configurations with normal central fibers.