Utorak-cetvrtak, 05-07. decembar 2006. u 16h, sala 2 MI SANU:

(zajednicki sastanak sa Seminarom za analizu, seminarom za primenjenu i industrijsku matematiku, seminarom Matematicke metode mehanike, seminarom Geometrija, obrazovanje i vizualizacija sa primenama)

Professor Matti Vuorinen Department of Mathematics, University of Turku, Finland
CONFORMAL GEOMETRY AND QUASIREGULAR MAPPINGS

Abstract: The talk deals with the various invariants and associated metrics, in the theory of quasiconformal and quasiregular mappings. We first give an overview of quasiconformal mapping theory and then discuss geometric properties of these mappings such as quasiconformal images of spheres. Several metrics are discussed such as the hyperbolic metric and quasihyperbolic metric as well as certain capacity related metrics. To a large extent the local structure of these metric spaces is still open. For instance, the convexity of balls of small radii is open. Various special cases of these questions are numerous and provide future challences.

Petak, 08. decembar 2006. u 14h, sala 718 MF, BG:

Volkmar Welker, Philipps-Universität Marburg, Germany
BARYCENTRIC SUBDIVISIONS

Abstract: We study barycentric subdivisions of simplicial complexes and more generally of (compact) polytopal complexes. We are interested in the behavior of the f-vector and h-vector of the complex under single and iterated subdivision. Recall that the components fi of the f-vector count the number of i-dimensional simplices (resp. polytopes) in the complex.

We will give a series of results on the transformation of the f-vector and h-vector under subdivision and the behavior of the roots of the generating polynomial of the f-vector under subdivision. This is joint work with Francesco Brenti (Rome)

Sreda-petak, 13-15. decembar 2006. sala 2 MI SANU:

Proslava jubileja Matematickog instituta SANU. Detaljan program proslave bice distribuiran naknadno.