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. đ
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 "Rationalized stable homotopy groups of spheres"
Ars legendi-FakultÀtenpreis Mathematik 2024
Der diesjĂ€hrige Ars legendi-FakultĂ€tenpreis fĂŒr exzellente Hochschullehre in der Mathematik geht an Prof. Anselm Knebusch. Prof. Anselm Knebusch von der Hochschule fĂŒr Technik Stuttgart setzt das innovative Konzept des “computerbasierten Lernens im Hörsaal” ein, um der HeterogenitĂ€t der StudienanfĂ€nger in der Mathematikausbildung der IngenieursstudiengĂ€nge zu begegnen. Zur Aktivierung der Studierenden wird der neue Ansatz des … Continue reading "Ars legendi-FakultĂ€tenpreis Mathematik 2024"
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.
Metric spaces and C*-algebras III
This is a continuation of the previous two posts I and II. In the first one I defined the uniform Roe algebra \(C_u^*(X)\) of a metric space \(X\) of bounded geometry and mentioned the following interesting result: Two metric spaces \(X\) and \(Y\) are coarsely equivalent if and only if their uniform Roe algebras \(C_u^*(X)\) … Continue reading "Metric spaces and C*-algebras III"
Isoclinism of groups
Do you know when two groups \(G\) and \(H\) are called isoclinic to each other? I have never heard of this notion before, but there was a paper on the arXiv listing today using it in its abstract; so I looked in this paper, not because I was interested in its content, but just because … Continue reading "Isoclinism of groups"
Analysis, Geometry and Topology of Positive Scalar Curvature Metrics
I wasn’t traveling much (actually, almost not at all) to conferences or workshops in the last few years. First because of the COVID-19 pandemic and afterwards because I got a child and was on parental leave for a long time. This will change this year and right now I am on the Oberwolfach Workshop Analysis, … Continue reading "Analysis, Geometry and Topology of Positive Scalar Curvature Metrics"
Fachwissen von LehrkrÀften
Ăber die Jahre hinweg habe ich mich regelmĂ€Ăig mit Kolleg*innen darĂŒber unterhalten, wie relevant die Menge und Tiefe an fachmathematischer Ausbildung von angehenden GymnasiallehrkrĂ€ften sein sollte. Die mit Abstand am weitesten verbreitete Meinung unter den Professor*innen, mit denen ich geredet habe, ist, dass man die Lehramtstudierenden natĂŒrlich in möglichst viele fachmathematische Vorlesungen schicken sollte; bis … Continue reading "Fachwissen von LehrkrĂ€ften"