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SUMMARY:Özge Ülkem (Heidelberg University)
DTSTART:20200902T160000Z
DTEND:20200902T173000Z
DTSTAMP:20260422T172218Z
UID:UCGEN/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCGEN/4/">Un
 iformization of the moduli space of generalized  $\\mathcal{D}$-elliptic s
 heaves</a>\nby Özge Ülkem (Heidelberg University) as part of UCGEN - Ulu
 slararası Cebirsel GEometri Neşesi\n\n\nAbstract\nDrinfeld defined the n
 otion of elliptic modules\, which are now called Drinfeld modules\, as an 
 analogue of elliptic curves in the function field setting. To prove the La
 nglands 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 generalization
 s of elliptic sheaves have been studied\, such as $\\mathcal{D}$-elliptic 
 sheaves defined by Laumon\, Rapoport and Stuhler and Frobenius-Hecke sheav
 es defined by Stuhler. In this talk\, we will give a brief introduction to
  the function field world and introduce a new generalization of elliptic s
 heaves\, called generalized $\\mathcal{D}$-elliptic sheaves. We will state
  a uniformization theorem for the moduli space of the latter and talk abou
 t the proof if time permits. This builds on work of Laumon-Rapoport-Stuhle
 r\, of Hartl and of Rapoport-Zink.\n
LOCATION:https://researchseminars.org/talk/UCGEN/4/
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