Title	Bounding slopes in eigenvarieties
Creator	Lynnelle Ye; Ye, Lynnelle
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-10-23T10:11
Description	We will survey the known bounds on the eigenvalues of the $U_p$ Hecke operator appearing in various eigenvarieties. This will cover the speaker's work giving the polynomial growth rate of the associated Newton polygon for Chenevier's eigenvarieties for definite unitary groups of all ranks, as well as a theorem of Liu-Wan-Xiao and conjecture of Bergdall-Pollack giving more specific information for dimension-1 eigenvarieties.
Extent	48.0 minutes
Subject	Mathematics; Number Theory; Algebraic Geometry; Arithmetic Number Theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stanford University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2020-04-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0389880
URI	http://hdl.handle.net/2429/74067
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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