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SUMMARY:Carl Wang Erickson (Univ. of Pittsburgh)
DTSTART:20210223T210000Z
DTEND:20210223T220000Z
DTSTAMP:20260423T024837Z
UID:UAANTS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/12/">
 Small non-Gorenstein residually Eisenstein Hecke algebras</a>\nby Carl Wan
 g Erickson (Univ. of Pittsburgh) as part of University of Arizona Algebra 
 and Number Theory Seminar\n\n\nAbstract\nIn Mazur's work proving the torsi
 on theorem for rational elliptic curves\, he studied congruences between c
 usp forms and Eisenstein series in weight two and prime level. One of his 
 innovations was to measure such congruences using a residually Eisenstein 
 Hecke algebra. He asked for generalizations of his theory to squarefree le
 vels. The speaker made progress toward such generalizations in joint work 
 with Preston Wake\; however\, a crucial condition in their work was that t
 he Hecke algebra be Gorenstein\, which is often but by no means always tru
 e. We present joint work with Catherine Hsu and Preston Wake in which we s
 tudy the smallest possible non-Gorenstein case and leverage this smallness
  to draw an explicit link between its size and an invariant from algebraic
  number theory.\n
LOCATION:https://researchseminars.org/talk/UAANTS/12/
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