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TZID:Europe/Paris
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UID:7080@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20190329T110000
DTEND;TZID=Europe/Paris:20190329T120000
DTSTAMP:20241207T133330Z
URL:https://www.i2m.univ-amu.fr/evenements/selbergs-eigenvalue-conjecture-
 for-moduli-spaces-of-abelian-differentials-michael-magee/
SUMMARY:Michael Magee (Durham University): Selberg's eigenvalue conjecture 
 for moduli spaces of abelian differentials
DESCRIPTION:Michael Magee: I'll begin by discussing Selberg's eigenvalue co
 njecture\, that predicts a uniform spectral gap for the Laplacian on a spe
 cial family of arithmetic Riemann surfaces.\nSelberg's conjecture can be r
 estated in terms of the Teichmuller dynamics of abelian differentials on a
  torus. Based on this\, Yoccoz made a generalization of Selberg's conjectu
 re for connected components of strata of abelian differentials on higher g
 enus surfaces.\nI will explain how I have proved an approximation to Selbe
 rg's conjecture in higher genus\, and highlight some of the interesting in
 gredients involved\, including the recent resolution of a conjecture of Zo
 rich by Avila-Matheus-Yoccoz and Gutierrez-Romo. If I have time\, I'll exp
 lain how this all fits into a broader program of automorphic forms on modu
 li spaces. https://arxiv.org/abs/1609.05500\n&nbsp\;\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Michael_Magee.jpg
CATEGORIES:Séminaire,Rauzy
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DTSTART:20181028T020000
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