Number Theory

Title: Slopes of the eigencurve over boundary disks
Speaker: Liang Xiao
Speaker Info: UC Irvine
Brief Description:
Special Note:

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
Time: 4:00PM
Where: Lunt 107
Contact Person: Simon Marshall
Contact email: slm@math.northwestern.edu
Contact Phone: 847-467-0715
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