Inscriere cercetatori

Premii Ad Astra

premii Ad Astra

Asociația Ad Astra anunță lansarea proiectului Premiilor Ad Astra 2022 (link aici), care își propune identificarea și popularizarea modelelor de succes, a rezultatelor excepționale ale cercetătorilor români din țară și din afara ei. Regulamentul de participare se poate gasi aici, iar  pagina de inscriere se poate accesa aici.

Asociatia Ad Astra a cercetatorilor romani lanseaza BAZA DE DATE A CERCETATORILOR ROMANI DIN DIASPORA. Scopul acestei baze de date este aceea de a stimula colaborarea dintre cercetatorii romani de peste hotare dar si cu cercetatorii din Romania. Cercetatorii care doresc sa fie nominalizati in aceasta baza de date sunt rugati sa trimita un email la cristian.presura@gmail.com

Fundamental groups of line arrangements: Enumerative aspects

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în volumul unei conferinţe

Autori: A.I. Suciu

Editorial: Advances in algebraic geometry motivated by physics (Lowell, MA, 2000), E. Previato, American Math. Soc., Contemporary Mathematics, 276, p.43-79, 2001.

Rezumat:

This is a survey of some recent developments in the study of complements of line arrangements in the complex plane. We investigate the fundamental groups and finite covers of those complements, focusing on homological and enumerative aspects. The unifying framework for this study is the stratification of the character variety of the fundamental group, G, by the jumping loci for cohomology with coefficients in rank 1 local systems. Counting certain torsion points on these „characteristic” varieties yields information about the homology of branched and unbranched covers of the complement, as well as on the number of low-index subgroups of its fundamental group. We conclude with two conjectures, expressing the lower central series quotients of G/G” (and, in some cases, G itself) in terms of the closely related „resonance” varieties. We illustrate the discussion with a number of detailed examples, some of which reveal new phenomena.

Cuvinte cheie: Complements of line arrangements, fundamental groups, characteristic varieties, resonance varieties, finite covers

URL: http://arXiv.org/abs/math.AG/0010105