Counting lattice points and o-minimal structures
Vortrag von Dr. Fabrizio Barroero
Datum: 24.11.14 Zeit: 13.00 - 14.00 Raum: Y27H35/36
Let L be a lattice in R^n and let Z in R^(m+n) a parameterized family of subsets Z_T of R^n. Using o-minimal structures from model theory we prove for fairly general families Z an estimate for the number of points of L in Z_T, which is essentially best possible. To this end we show that the volumes of the projections of Z_T to an arbitrary j-dimensional subspace are bounded in terms of the volumes of the projections to the j-dimensional coordinate spaces and the family Z, but independently of the parameter T. This is joint work with Martin Widmer.