Trends and Developments in Computational Geometry

Trends and Developments in Computational Geometry

Recent Developments in Computational Arithmetic Geometry

From 16.05.04 to 21.05.04, the Dagstuhl Seminar 04211 Algorithms and Number Theory was held in the International Conference and Research Center (IBFI), Schloss Dagstuhl. During the seminar, several participants presented their current research, and ongoing work and open problems were discussed. Abstracts of the presentations given during the seminar as well as abstracts of seminar results and i...

TRENDS IN THE STEEL INDUSTRY AND DEVELOPMENTS OF NEW REFRACTORY MATERIALS

At first, trends in the steel industry are briefly reviewed, taking into consideration bothmanagerial and technical issues. As a consequence of this review, the importance of electricfurnace technology and of secondary metallurgy is being underlined. The same sequence iffollowed to describe the refractory industry. Specific issues concerning the latest developments oncarbon-containing castables...

Developments in fractal geometry

Iterated function systems have been at the heart of fractal geometry almost from its origins. The purpose of this expository article is to discuss new research trends that are at the core of the theory of iterated function systems (IFSs). The focus is on geometrically simple systems with finitely many maps, such as affine, projective andMöbius IFSs. There is an emphasis on topological and dynam...

Developments in Algebraic Geometry

8:00–10:00 Continental breakfast, coffee, registration 10:00–11:00 Vyacheslav Shokurov, Johns Hopkins Univ. Mumford’s legacy in birational geometry. 11:00–11:20 break 11:20–12:20 Ulrike Tillmann, Oxford Univ. Mumford’s conjecture: A topological outlook. 12:20–2:10 Lunch 2:10–3:10 Valery Alexeev, Univ. Georgia Compactification of the Torelli map: from Mumford to tropical geometry. 3:10-3:40 Coff...