Browsing by Author "Zagier, Don"
Now showing items 1-3 of 3
-
Modular q–difference equations and quantum invariants of hyperbolic three–manifolds
Wheeler, Campbell (2023-04-28)In this thesis, we take up the study of quantum invariants of hyperbolic closed three manifolds. In particular, we consider the behaviour of the Witten-Reshetikhin-Turaev invariants associated to the Lie algebra of the ... -
Modularity of special motives of rank four associated with Calabi-Yau threefolds
Bönisch, Kilian (2023-09-18)In this thesis, we study modularity properties of pure motives and mixed period matrices of rank four. The pure motives that we consider are associated with Calabi-Yau threefolds, while the mixed period matrices are ... -
Symplectic Automorphic Forms and Kloosterman Sums
Man, Siu Hang (2021-10-12)In this thesis, we study automorphic forms on the rank 2 symplectic group Sp(4), in the context of analytic number theory. While much of the abstract theory is described in Langlands’ theory, one needs more explicit formulae ...