TY  - GEN
A1  - Ülkem, Özge
AV  - public
Y1  - 2021///
UR  - https://archiv.ub.uni-heidelberg.de/volltextserver/29531/
ID  - heidok29531
N2  - Drinfeld defined the notion of elliptic modules, which are now called Drinfeld modules, as an analogue of elliptic curves in the function field setting. To prove the Langlands correspondence in this context, Drinfeld studied moduli spaces of elliptic sheaves. The categories of elliptic sheaves and Drinfeld modules are equivalent under certain conditions. Since then, many generalizations of elliptic sheaves have
been studied, such as D-elliptic sheaves defined by Laumon, Rapoport and Stuhler and Frobenius-Hecke sheaves defined by Stuhler. In this thesis, I introduce a new
generalization of elliptic sheaves, called generalized D-elliptic sheaves which can be thought of as a generalization of both D-elliptic sheaves and Frobenius-Hecke
sheaves. I study their moduli space and prove a uniformization theorem. This builds on work of Laumon-Rapoport-Stuhler, of Hartl and of Rapoport-Zink.
CY  - Heidelberg
TI  - Uniformization of generalized D-elliptic sheaves
ER  -