Title: Slopes of the eigencurve over boundary disks
Speaker: Liang Xiao
Speaker Info: UC Irvine
Brief Description:
Special Note:
Abstract:
Despite the importance of eigencurve in the p-adic number theory, the geometry of the eigencurve is still poorly understood. The amazing calculation of Buzzard-Kilford in the case of p=2 suggests that the slopes of the eigencurve should behave reasonably well near the boundary of the weight space. In this talk, I will report on some evidence regarding this expectation, much weaker than the form given as in Buzzard-Kilford, but not specific to a particular p or level (under some hypothesis). This is a joint work with Jun Zhang.Date: Monday, February 10, 2014