Title	Explicit methods for Shimura curves
Creator	Yang, Yifan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-28T10:30
Description	Shimura curves are generalisations of classical modular curves. However, because of the lack of cusps on Shimura curves, there have been very few explicit methods for Shimura curves. In this talk, we will introduce two realisations of modular forms on Shimura curves, one in terms of solutions of Schwarzian differential equations and the other in terms of Borcherds forms, and discuss their applications, including special values of hypergeometric functions, equations of (hyperelliptic) Shimura curves, and explicit description of quaternionic loci in Siegel's modular threefold.
Extent	61 minutes
Subject	Mathematics; Number theory; Algebraic geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: National Chiao Tung University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-03-30
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343403
URI	http://hdl.handle.net/2429/61050
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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