SPP 2026 – Page 3 – Geometry at Infinity

Kervaira invariant one problem

Last month a solution to the Kervaire invariant one problem in the final remaining dimension 126 was announced (link to a mathstodon post). I have already mentioned this problem in an earlier post here: link (2nd paragraph about the 2-line). edit (17th Dec 2024): The preprint is now on the arXiv:2412.10879.

Shaw Prize 2024

The Shaw Prize in Mathematical Sciences 2024 is awarded to Peter Sarnak for his development of the arithmetic theory of thin groups and the affine sieve, by bringing together number theory, analysis, combinatorics, dynamics, geometry and spectral theory.

Jim Simons 1938 – 2024

Three days ago Jim Simons passed away. He was a great mathematician (the Chern-Simons form is named after him together with Shiing-Shen Chern) and the most successful hedge fund manager of all time (citation from wikipedia). Together with his wife he founded the Simons Foundation whose mission is to advance the frontiers of research in … Continue reading

Blaschke’s Inclusion Theorem

An extremely classical theorem from planar geometry is the following one: If \(B_1\) and \(B_2\) are two strictly convex, compact planar domains with smooth boundaries touching at some point \(p \in \partial B_1 \cap \partial B_2\) with common inner normal, then \(B_1 \subset B_2\) provided that the curvatures \(k_i(\nu)\) of the boundaries satisfy \(k_1(\nu) \ge … Continue reading

A Mathematical Conventions Survey

I wanted to share the results of this funny survey with you: 100 Questions About Mathematical Conventions. But beware, if you click on the link you will loose an hour of your life time. 😉

Rationalized stable homotopy groups of spheres

Computing the stable homotopy groups of spheres \(\pi_*^s\) is a major problem in stable homotopy theory. In chromatic homotopy theory one studies, for every prime \(p\), a tower \[\cdots \to L_n\mathcal{S} \to \cdots \to L_1\mathcal{S} \to \mathcal{S}_\mathbb{Q}\] over the rational sphere spectrum \(\mathcal{S}_\mathbb{Q}\) whose homotopy limit is the \(p\)-localization \(\mathcal{S}_{(p)}\) of the sphere spectrum. Since … Continue reading

Ars legendi-Fakultätenpreis Mathematik 2024

Der diesjährige Ars legendi-Fakultätenpreis für exzellente Hochschullehre in der Mathematik geht an Prof. Anselm Knebusch. Prof. Anselm Knebusch von der Hochschule für Technik Stuttgart setzt das innovative Konzept des “computerbasierten Lernens im Hörsaal” ein, um der Heterogenität der Studienanfänger in der Mathematikausbildung der Ingenieursstudiengänge zu begegnen. Zur Aktivierung der Studierenden wird der neue Ansatz des … Continue reading

Abel Prize 2024

The Abel Prize 2024 goes to Michel Talagrand for his groundbreaking contributions to probability theory and functional analysis, with outstanding applications in mathematical physics and statistics.