Testbrett

Origami is not only an art form but also a subject of mathematical interest, especially due to its geometric design. While traditional origami uses straight folds to create flat surfaces, paper can also be bent into curved, developable surfaces. Curved folding enables new modeling possibilities, though it has been less studied. This talk will introduce the speaker's work on curved folding, including artistic examples and design methods. It will also touch on origami's cultural and engineering aspects, and conclude with a hands-on curved folding workshop.

Optimal branched transport is a variant of the Monge-Kantorovich problem in which transportation networks exhibit tree-like structures, reflecting the efficiency of grouping mass along shared paths. This talk introduces the problem and reviews results on its well-posedness, using tools from geometric measure theory. Special attention will be given to the mailing problem, where source-target pairs are prescribed. I will discuss a recent extension of the fundamental stability and regularity results to all transportation regimes. Based on joint work in progress with A. De Rosa and J. Krukowski.

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Ab dem 30.04.2025 wird der Zugriff auf interne Dienste, wie beispielsweise Dateifreigaben, aus dem Wlan-Netz der Universität abgeschaltet. Um weiterhin aus dem Wlan-Netzen Zugrif zu erhalten benötigen Sie eine aktive VPN-Verbindung. In diesem Zuge haben wir neue VPN-Bereiche nach Standorten aufgeteilt durch die CIT erstellen lassen. Diese können Sie ab sofort nutzen weitere Informationen finden Sie in unserem fortlaufendem Newsletter und im Wiki.

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We will start by providing two kinds of motivation for the study of Cannon-Thurston maps: the first classical differential geometric, involving the extrinsic geometry of surfaces in 3-space; the second from complex dynamics involving landing rays. For a hyperbolic subgroup H of a hyperbolic group G, we shall then describe sufficient criteria to guarantee the following two conditions a) Geodesic rays in H starting at 1 land at a unique point of the boundary of G b) The inclusion of H in G does not extend continuously to the boundary As a consequence we obtain diverse classes of examples demonstrating the non-existence of Cannon-Thurston maps. These include the Baker-Riley examples. This is joint work with Rakesh Halder and Pranab Sardar.

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