Pregled bibliografske jedinice broj: 1220570
Computational Challenges in Perfect form theory
Computational Challenges in Perfect form theory // ICERM Conference Computational challenges in the theory of lattices
Providence (RI), Sjedinjene Američke Države, 2018. (predavanje, međunarodna recenzija, pp prezentacija, znanstveni)
CROSBI ID: 1220570 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Computational Challenges in Perfect form theory
Autori
Dutour Sikirić, Mathieu
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, pp prezentacija, znanstveni
Skup
ICERM Conference Computational challenges in the theory of lattices
Mjesto i datum
Providence (RI), Sjedinjene Američke Države, 23.04.2018. - 27.04.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Perfect forms ; Cohomology ; Vector configurations
Sažetak
Perfect forms are among the most basic construction in lattice theory and are currently known up to dimension 8. We will report on problems related to their computation and in related subjects. We will give the classification of configurations of shortest vectors up to dimension 10 and conjecturally 11. We will also explain the setting of the central cone compactification and other reduction theories. We will give variants to subspaces of positive definite matrices. Finally, we will explain the applications of perfect form theory to topology
Izvorni jezik
Engleski
Znanstvena područja
Matematika
