Explicit well rounded twists of planar ideal lattices

03/27/2018 - 12:15pm
03/27/2018 - 1:10pm
Taoufiq Mohamed (Aalto University, Finland)

The action of the diagonal group A (i.e. the group of real diagonal matrices with positive entries and determinant one) on a lattice L was extensively studied in the context of the Minkowski conjecture. Proving non-emptiness of the intersection of it's orbit AL with the set W_n of well-rounded lattices in dimension n is considered to be a big step toward Minkowski conjecture in that dimension. The aim of this talk is to highlight some links between this intersection AL \cap W_n and applications in wireless communication. We will then AL \cap W_n when L is arising from a real quadratic number field in more detail.

Millikan 2099, Pomona College

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