Title: Quantum mirrors, tropical curves and curve counting on surfaces
Abstract: Certain counts of rational curves in (log Calabi–Yau) surfaces can be read off from the geometry of the Gross–Hacking–Keel mirror to the surface. I will discuss a generalisation of this to higher-genus curves, whose counts can be extracted from the geometry of a deformation quantisation of this mirror via a…
Title: Generalizing Erdős B-free systems: Erdős Sieves
Abstract: Given a set B = {b_1,b_2,...} of pairwise coprime numbers, we say it forms a B free system, if sum_i 1/b_i is finite. If for each i we instead consider a set of congruence classes mod b_i, we get Erdős sieves. For a sieve R we investigate the dynamical systems associated to the R-free numbers, those integers not contained in any…
Abstract:
Die gymnasiale Oberstufe hat in den letzten Jahrzehnten einen stetigen Zulauf erfahren, sodass die Abiturientenquote eines Altersjahrgangs heute bei etwa 40 Prozent liegt. Dadurch nimmt sie einen immer bedeutenderen Platz im institutionalisierten schulischen Bildungsangebot ein, weshalb eine (erneute) wissenschaftliche Auseinandersetzung mit den Bildungszielen und den Wirkungen des Unterrichts in der gymnasialen Oberstufe sinnvoll…
Abstract: Classical Fourier analysis on $\mathbb{R}^n$ yields fundamental inequalities such as Pitt’s inequality and the Heisenberg-type uncertainty principle. In this talk, we describe recent progress in extending these results to Riemannian symmetric spaces of noncompact type. In particular, we establish an analogue of Pitt’s inequality for the Helgason Fourier transform and for the Jacobi transform. We also discuss the corresponding…
The Faculty of Electrical Engineering, Computer Science and Mathematics cordially invites you to attend the inaugural lecture by Prof. Dr. Karin Binder and Jun.-Prof. Dr. Jonas Jalowny on Monday, 17 November 2025, at 4:15 p.m. in Lecture Hall O2.The title of Prof. Dr. Karin Binder's lecture is:Promoting stochastic thinking: The benefits of visualisations in situations with two dichotomous characteristics and a simulation-based introduction to…
Abstract: Small eigenvalues play an important role in geometric counting and dynamical problems. In this talk, I will begin by giving a brief review of the history of some of these problems. Later, I will discuss the recent renewed interest in these eigenvalues, relating to their stability under finite Riemannian coverings.
If you are interested in participating online please contact Tobias Weich in order to receive the login details.
