ὅδε οἶκος, ὦ ἑταῖρε, μνημεῖον ἐστιν ζῴων τῶν σοφῶν ἀνδρῶν, καὶ τῶν ἔργων αὐτῶν

Seminar for Geometry, education and visualization with applications

 

PROGRAM


MATEMATICKI INSTITUT SANU
Seminar geometriju, obrazovanje i vizualizaciju sa primenama

PLAN RADA ZA SEPTEMBAR 2008.

CETVRTAK, 4. sept. 2008. u 18 sati, sala BIM
Eduardo Hulett, FaMAF, Cordoba, Argentina
Harmonic maps of surfaces with maximal isotropy dimension into Lorentz pseudospheres Sn and their harmonic sequences

Abstract: There is a well-established theory for the study of harmonic maps of Riemann surfaces in euclidean spheres Sn which involves the construction of the so-called harmonic sequence of the map in question. Bolton, Pedit and Woodward (1995) considered superconformal maps f:M→Sn which are maps having a non-terminating harmonic sequence of maximal length. In a recent paper we have been able to show that the idea of the construction of the harmonic sequence can be extended to deal with the class of conformal harmonic maps of Riemann surfaces with maximal isotropy dimension into Lorentz pseudospheres or De Sitter spaces Sn. These maps (also called superconformal harmonic) have many similarities with those maps considered by Bolton, Pedit and Woodward.

Part 1: In the first talk we will review some basic basic concepts of harmonic maps and will establish the main properties of the harmonic sequence of a superconformal harmonic map f:M→Sn , n≥3. Also we will introduce the normal curvatures of f and derive some curvature identities. Lastly we will derive the Toda or compatibility equations for the existence of the harmonic sequence.

CETVRTAK, 11. sept. 2008. u 18 sati, sala BIM
Eduardo Hulett, FaMAF, Cordoba, Argentina
Harmonic maps of surfaces with maximal isotropy dimension into Lorentz pseudospheres Sn and their harmonic sequences

Part 2: In the second talk we will discuss rigidity and linear fullness properties of superconformal harmonic maps. Also we will report on some recent (unpublished) results on the twistorial contruction of these maps.

Sednice seminara odrzavaju se u zgradi Matematickog fakulteta Beograd, Studentski trg 16, na petom spratu u sali 843.

Rukovodilac Seminara dr Srdjan Vukmirovic