Weak arithmetic equivalence

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Event details

Date 04.07.2014
Hour 15:3016:30
Speaker Guillermo Mantilla Soler (EPFL)
Location
Category Conferences - Seminars
Inspired by the invariant of a number field given by its zeta function, I'll define the notion of weak arithmetic equivalence, and show that under certain ramification hypotheses, this equivalence determines the local root numbers of the number field. This is analogous to a result of Rohrlich  on the local root numbers of a rational elliptic curve.  If time permits I'll show how this invariant relates to other arithmetic invariants of number fields.

Practical information

  • Informed public
  • Free

Contact

  • Monique Kiener

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