Alternatively have a look at the program.

## Beauty and Truth in Mathematics

For fotos of the event see the Foto-Gallery of the Uni-Club Bonn and the Oberwolfach Foto Collection.

## Von den metaphysischen Mucken der Mathematik - einige Aperçus

For fotos of the event see the Foto-Gallery of the Uni-Club Bonn.

## Die zwei Gesichter der Mathematik

For fotos of the event see the Foto-Gallery of the Uni-Club Bonn.

## Languages of mathematics and mathematics of languages

## "A world from a sheet of paper". Hirzebruch lecture by Tadashi Tokieda on Wednesday, October 31, University Club Bonn

Starting from just a sheet of paper, by folding, stacking, crumpling, tearing, we will explore a rich variety of phenomena, from magic tricks and geometry to elasticity and the traditional Japanese art of origami. Much of the lecture consists of actual table-top demos, which you can try later with friends and family.

## "Pentagramma Mirificum". Hirzebruch lecture by Sergey Fomin on Friday, November 8, University Club Bonn

**Pentagramma Mirificum** (the miraculous pentagram) is a beautiful geometric construction studied by Napier and Gauss. Its algebraic description yields the simplest instance of cluster transformations, a remarkable family of recurrences which arise in diverse mathematical contexts, from representation theory and enumerative combinatorics to theoretical physics and classical geometry (Euclidean, spherical, or hyperbolic).

## "Moduli in Mathematics". Hirzebruch lecture by Rahul Pandharipande on Monday, 15 May 2023, University Club Bonn

**Moduli** spaces parameterize continuous deformations of mathematical objects. Their study (starting with ideas of Riemann in the 19th century) has revealed many surprises: universal structures, connections between different subjects, and wild leaps. I will present some sense of the motivations and results related to the study of moduli spaces from the perspective of examples ranging from configurations of mechanical linkages to the moduli of varieties and sheaves.

## "The Quadratic Formula Revisited". Hirzebruch lecture by Bernd Sturmfels on Thursday, 9 November 2023, University Club Bonn

High school students learn how to express the solution of a quadratic equation in one unknown in terms of its three coefficients. Why does this formula matter? We offer an answer in terms of discriminants and data. This lecture invites the audience to a journey towards non-linear algebra.

## "The card game SET and three-term arithmetic progressions". Hirzebruch lecture by Lisa Sauermann on Monday, 4 November 2024, University Club Bonn

Starting from the popular card game SET, we will look at questions concerning the maximum possible size of sets without three-term progressions in various different mathematical settings (namely, subsets of the numbers from 1 to some number N, and subsets of so-called vector spaces over finite fields). These are fundamental questions in additive combinatorics, with connections to several other mathematical areas. We will discuss what is known about these questions, as well as some related problems.

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