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SUMMARY:Özge Ülkem (Academia Sinica\, Taipei)
DTSTART:20260225T100000Z
DTEND:20260225T110000Z
DTSTAMP:20260422T104855Z
UID:FGC-IPM/66
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/FGC-IPM/66/"
 >Drinfeld's Elliptic Sheaves and Generalizations</a>\nby Özge Ülkem (Aca
 demia Sinica\, Taipei) as part of FGC-HRI-IPM Number Theory Webinars\n\n\n
 Abstract\nIn this talk\, we will explore the area of function field\narith
 metic\, with a focus on Drinfeld's elliptic sheaves and their\ngeneralizat
 ions\, as well as analogies to the number field setting.\nDrinfeld modules
 \, introduced in 1974 as analogues of elliptic curves in\nthe function fie
 ld setting\, play a central role in this context. To\nestablish a Langland
 s correspondence\, Drinfeld studied moduli spaces of\nelliptic sheaves\, o
 r equivalently\, shtukas. After a brief introduction\nto the function fiel
 d framework\, we will examine some well-known\ngeneralizations of elliptic
  sheaves\, concentrating on generalized\nD-elliptic sheaves and presenting
  results on their moduli spaces. In the\nfinal part of the talk\, we will 
 explore the connections between\n(generalized) shtukas and (generalized) e
 lliptic sheaves.\n
LOCATION:https://researchseminars.org/talk/FGC-IPM/66/
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