Pregled bibliografske jedinice broj: 483767
Polyhedra with symmetries in the geometry of numbers
Polyhedra with symmetries in the geometry of numbers // CRM Conference on Polyhedral Computations
Montréal, Kanada, 2006. (plenarno, međunarodna recenzija, pp prezentacija, znanstveni)
CROSBI ID: 483767 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Polyhedra with symmetries in the geometry of numbers
Autori
Schurmann, Achill ; Dutour Sikirić, Mathieu ; Vallentin, Frank
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Izvornik
CRM Conference on Polyhedral Computations
/ - , 2006
Skup
CRM Conference on Polyhedral Computations
Mjesto i datum
Montréal, Kanada, 17.10.2006. - 20.10.2006
Vrsta sudjelovanja
Plenarno
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
geometry of numbers; polytope; enumeration
Sažetak
We show some applications of vertex/ray enumeration in the Geometry of Numbers. For example, the computation of vertices of the Dirichlet-Voronoi-cell of a lattice yields the inhomogeneous minimum and allows to compute its quantizer constant. We show that the classical problem of determining the Hermite constant (densest lattice sphere packing) can be solved using vertex enumeration. In all these cases, the most interesting or critical examples have many symmetries. We therefore briefly discuss some approaches to enumerate vertices up to symmetries. The talk is complemented by the talk of Mathieu Dutour Siciric about the Adjacency Decomposition Method, which has been applied in practice quite successfully.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
