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SUMMARY:Transcendence of 1-periods
DTSTART:20240314T141500
DTEND:20240314T160000
DTSTAMP:20260429T171835Z
UID:f7805c41b2c38a40c8c2754b442424933770c52c3822ab8c62162a30
CATEGORIES:Conferences - Seminars
DESCRIPTION:Annette Huber (Université Freiburg)\n(joint work with G. Wüs
 tholz) 1-periods are complex numbers obtained as path intervals of algebra
 ic 1-forms on algebraic varieties over the field of algebraic numbers. The
  set contains famous numbers like 2pi i or values of log in algebraic numb
 ers. They are a long-standing object of transcendence theory.\n\nWe will e
 xplain a sharp transcendence criterion and describe more generally all lin
 ear relations between 1-periods. The proof uses the theory of 1-motives in
  an essential way\, allowing us to reduce the question to the seminal Anal
 ytic Subgroup Theorem of Wüstholz.\n\nIn the second half of the talk\, we
  will discuss 1-motives in more detail. This leads to quantitive  version
 s of the theorem\, i.e.\, formulas for the dimension of the space of perio
 ds of a given 1-motive.
LOCATION:GA 3 34 https://plan.epfl.ch/?room==GA%203%2034
STATUS:CONFIRMED
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