Abstract: A regular subriemannian manifold M carries a geometric hypoelliptic operator, the intrinsic sublaplacian. Due to the degeneracy of the operator symbol, effects occur in the geometry and analysis of these operators that have no equivalent in Riemannian geometry. During the last decades inverse spectral problems in subriemannian geometry have been studied by various authors. Typical approaches are based on the analysis of the induced…
Title: On the topology of the moduli space of tropical Z/pZ-covers
Abstract: We study the topology of the moduli space of (unramified) Z/pZ-covers of tropical curves of genus g≥2 where p is a prime number. By recent work of Chan-Galatius-Payne, the (reduced) homology of this tropical moduli space computes (with a degree-shift) the top-weight (rational) cohomology of the corresponding algebraic…
Geometric figures in the square grid
Maths circle meeting on 14 June 2025
Room and time: virtual/online with the video conferencing software Zoom (Paderborn University campus licence) from 10:00 to 13:00
Leader of the workshop: Dr Kerstin Hesse
Description: We consider a rectangular square grid in which all points of the grid have a distance of 1 to the direct link to the neighbouring points. The grid points are therefore (m,n), where m, n…
Title: Dual complex of genus one mapping spaces
Abstract: The dual complex of a smooth variety encodes the combinatorial structure that underlies all its possible normal crossings compactifications. We prove that the dual complexes of genus zero and genus one mapping spaces are contractible (in degrees > 0 and > 1 respectively) via an explicit deformation retraction. In genus one, the key…
The Faculty of Electrical Engineering, Computer Science and Mathematics cordially invites you to the inaugural lectures of Jun. Prof. Dr. Simone Jablonski (Didactics of Mathematics) and Prof. Dr.-Ing. Nils Gerhardt (Semiconductor and Optoelectronic Devices) on Monday, June 23, starting at 4:15 pm.Simone Jablonski:“How much water do all schools in Paderborn use in one day?” So-called Fermi problems are a special form of modelling task: They…
Abstract:
Für Kindergartenkinder sind eigene mathematische Erfahrungen zentral für das mathematische Lernen (Hasemann & Gasteiger, 2014). Häufig besteht beim Sammeln von Erfahrungen im Kindergarten jedoch die Gefahr, dass die Kinder nur kindgemäße, aber kaum sachgerechte und fachlich anschlussfähige Erfahrungen sammeln können (vgl. Gasteiger, 2017). Im Vortrag wird das neu entwickelte Modell der «Mathematische Basiserfahrungen» vorgestellt. Mit…
On June 27th, the Colloquium of the CRC-TRR 358 will take place at the Department of Mathematics, Paderborn. The speakers are Prof. Ulrich Derenthal (Hannover) and Prof. Christian Lehn (Bochum).
