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PRODID:-//Memento EPFL//
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SUMMARY:Periods of modular functions around Markov geodesics
DTSTART:20181113T141500
DTEND:20181113T151500
DTSTAMP:20260916T042536Z
UID:c19369082e2d9d70f12616de87cc748e9a678a8a1867231b0577b850
CATEGORIES:Conferences - Seminars
DESCRIPTION:Bengoechea Duro Paloma (ETH Zurich)\nThe periods of a modular 
 function f are integrals of f along geodesics in the hyperbolic plane join
 ing a real irrational quadratic number with its Galois conjugate. When f i
 s the well-known j-function\, its periods have been the object of various 
 recent works of Duke\, Imamoglu and Toth\, and have been viewed as analogs
  of singular moduli for real quadratic fields. In this talk we address two
  conjectures of Kaneko that predict some specific behaviours of the period
 s of j around geodesics that correspond to Markov quadratics. Markov quadr
 atics are those which can be worse approximated by rationals\; they give t
 he beginning of the Lagrange spectrum in Diophantine approximation. This i
 s joint work with O. Imamoglu.
LOCATION:PH H3 33 https://plan.epfl.ch/?room==PH%20H3%2033
STATUS:CONFIRMED
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