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Geometric metaplectic parameters
(2020-09-28)
The objective of this work is to understand metaplectic parameters of the geometric Langlands program. In the usual Langlands program, metaplectic parameters are given by Brylinski--Deligne data, i.e., central extensions ...
Formulation and properties of a divergence used to compare probability measures without absolute continuity and its application to uncertainty quantification
(2020-09-09)
This thesis develops a new divergence that generalizes relative entropy and can be used to compare probability measures without a requirement of absolute continuity. We establish properties of the divergence, and in ...