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SUMMARY:Mihran Papikian (Pennsylvania State University)
DTSTART:20210629T194000Z
DTEND:20210629T203000Z
DTSTAMP:20260419T120954Z
UID:AFDRT/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AFDRT/11/">C
 omputing endomorphism rings and Frobenius matrices of Drinfeld modules</a>
 \nby Mihran Papikian (Pennsylvania State University) as part of Around Fro
 benius distributions and related topics II\n\n\nAbstract\nLet $\\mathbb{F}
 _q[T]$ be the polynomial ring over a finite field $\\mathbb{F}_q$. We stud
 y the endomorphism rings of Drinfeld $\\mathbb{F}_q[T]$-modules of arbitra
 ry rank over finite fields. We compare the endomorphism rings to their sub
 rings generated by the Frobenius endomorphism and deduce from this a recip
 rocity law for the division fields of Drinfeld modules. We then use these 
 results to give an efficient algorithm for computing the endomorphism ring
 s and discuss some interesting examples produced by our algorithm. This is
  a joint work with Sumita Garai.\n
LOCATION:https://researchseminars.org/talk/AFDRT/11/
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