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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
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Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > BIMSA-YMSC Tsinghua Number Theory Seminar Heights of Special Points on Quaternionic Shimura Varieties
Heights of Special Points on Quaternionic Shimura Varieties
Organizers
Hansheng Diao , Heng Du , Yueke Hu , Bin Xu , Yihang Zhu
Speaker
Roy Zhao
Time
Monday, September 23, 2024 10:00 AM - 11:00 AM
Venue
Shuangqing-C654
Abstract
In this talk, we will present an explicit formula for the height of a special point on a quaternionic Shimura variety in terms of Faltings heights of CM abelian varieties. This improves upon Yuan and Zhang’s work on the height of points on quaternionic Shimura curves. We will also discuss applications of this formula to proving the Large Galois Orbits Conjecture, an ingredient in the Pila—Zannier strategy for proving the Andre—Oort conjecture for Shimura varieties. We then contrast this formula with the one given by Pila, Shankar, and Tsimerman.
Beijing Institute of Mathematical Sciences and Applications
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