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SUMMARY:Jackie Lang (Oxford)
DTSTART:20201105T140000Z
DTEND:20201105T150000Z
DTSTAMP:20260423T024651Z
UID:UCDANT/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCDANT/1/">E
 isenstein congruences at prime-square level</a>\nby Jackie Lang (Oxford) a
 s part of Dublin Algebra and Number Theory Seminar\n\n\nAbstract\nCongruen
 ces between modular forms have been studied by many mathematicians\, start
 ing with some observations of Ramanujan.  They have been exploited by numb
 er theorists in the last 50 years to prove many deep arithmetic facts.  We
  will give a survey of examples of these congruences and some of their ari
 thmetic applications.  Having established the historical context\, we will
  discuss some work in progress with Preston Wake where we study Eisenstein
  congruences at prime-square level.  We will end with an application to pr
 oving nontriviality of class groups of a family of number fields.\n\nPassc
 ode: The 3-digit prime numerator of Riemann zeta at -11\n
LOCATION:https://researchseminars.org/talk/UCDANT/1/
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