BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Matt Broe (Boston University)
DTSTART:20241028T200000Z
DTEND:20241028T210000Z
DTSTAMP:20260423T040006Z
UID:NTBU/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/NTBU/7/">The
  Tate conjecture for a power of a CM elliptic curve</a>\nby Matt Broe (Bos
 ton University) as part of Boston University Number Theory Seminar\n\nLect
 ure held in CDS Room 365 in Boston University.\n\nAbstract\nThe endomorphi
 sms of an abelian variety $A$ over a field $k$ induce a natural decomposit
 ion of the Chow motive of $A$. For $E$ an elliptic curve over $k$ with com
 plex multiplication\, we explicitly describe the decomposition of the moti
 ve of $E^g$. When $k$ is finitely generated\, we use the decomposition to 
 prove the full Tate conjecture for $E^g$. When $k$ is a global function fi
 eld\, we formulate a version of the Beilinson-Bloch conjecture for varieti
 es over $k$ and prove it in some special cases\, including for powers of a
 n isotrivial elliptic curve with all its endomorphisms defined over $k$.\n
LOCATION:https://researchseminars.org/talk/NTBU/7/
END:VEVENT
END:VCALENDAR