MathCS Seminar

Title: Hasse principle for Hermitian spaces
Defense: Dissertation
Speaker: Zhengyao Wu of Emory University
Contact: Zhengyao Wu, zwu22@emory.edu
Date: 2016-03-24 at 4:00PM
Venue: W302
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Abstract:
This dissertation provides three results: (1) A Hasse principle for rational points of projective homogeneous spaces under unitary or special unitary groups associated to hermitian or skew hermitian spaces over function fields of p-adic curves; (2) A Springer-type theorem for isotropy of hermitian spaces over odd degree field extensions of function fields of p-adic curves; (3) Exact values of Hermitian u-invariants of quaternion or biquaternion algebras over function fields of p-adic curves.

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