ERC Research Period on Diophantine Geometry
timetable:
Wed 10 Oct, 10:30 - 11:10, Sala Conferenze Centro De Giorgi
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Exponents of inhomogeneous approximation by lattice orbits (40')
speaker: Michel Laurent (Institut de Mathématiques de Luminy)abstract: We shall first recall effective results of inhomogeneous approximation for subgroups in Rn, related to Kronecker's density theorem. The goal is to obtain analogous results for orbits under the action of a lattice in an homogeneous space. We shall modestly restrict our study to plane orbits for the modular lattice SL(2,Z), in which case precise (sometimes optimal) estimates, for the exponents will be given. We shall also present some applications of our work for solving non-homogeneous inequalities in coprime integers.
timetable:
Wed 10 Oct, 10:30 - 11:10, Sala Conferenze Centro De Giorgi
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