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Asociația Ad Astra a anunțat câștigătorii Premiilor Ad Astra 2022: http://premii.ad-astra.ro/. Proiectul și-a propus identificarea și popularizarea modelelor de succes, a rezultatelor excepționale ale cercetătorilor români din țară și din afara ei.
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Internet: Informare şi Instruire. Paşi în lumea comunicaţiilor
In John Quarterman's *The Matrix* (1990) there is a remark that there are ``no known systems in Romania.'' In 1994 there were 463 known hosts and last year there were 924 (see *MN* 5.11, p. 8). If anything, this shows the profound effect of the downfall of totalitarian government. While I was at ISOC last June, it was clear that delegates from third world nations saw Internet access as a democratizing actor: a way of getting news in and out that
Read moreGeometric and homological finiteness in free abelian covers
We describe some of the connections between the Bieri-Neumann-Strebel-Renz invariants, the Dwyer-Fried invariants, and the cohomology support loci of a space X. Under suitable hypotheses, the geometric and homological finiteness properties of regular, free abelian covers of X can be expressed in terms of the resonance varieties, extracted from the cohomology ring of X. In general, though, translated components in the characteristic varieties affect
Read moreHomological finiteness in the Johnson filtration of the automorphism group of a free group
We examine the Johnson filtration of the (outer) automorphism group of a finitely generated group. In the case of a free group, we find a surprising result: the first Betti number of the second subgroup in the Johnson filtration is finite. Moreover, the corresponding Alexander invariant is a non-trivial module over the Laurent polynomial ring. In the process, we show that the first resonance variety of the outer Torelli group of a free group is trivial.
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