Max Planck Institute for Mathematics

Free-Monodromic Mixed Tilting Sheaves on Flag Varieties

In this paper we propose a construction of a monoidal category of “free-monodromic” tilting perverse sheaves on (Kac–Moody) flag varieties in the setting of the “mixed modular derived category” introduced by the first and third authors. This category shares most of the properties...

Morality and climate policy attitudes

This paper studies the moral roots of climate policy attitudes. We fielded a survey with a representative sample in the US to study the predictive power of moral universalism in explaining heterogeneity in specific climate policy attitudes. Our results reveal that universalism is...

Neuropsychiatry genetics in Africa

Across Africa, rising mental health needs coincide with rapid advances in genomics, digital health and continental policy reform. Yet research into the genetic, environmental and social determinants of neuropsychiatric illness remains sparse and underfunded. This review argues th...

On spaces of Euclidean triangles and triangulated Euclidean surfaces

Abstract In this paper, we introduce an asymmetric distance function on the space of marked Euclidean triangles of normalised area, and we prove several properties of this metric, which turns out to be (a restriction of) a non-symmetric version of the classical Thompson distance....

Unstable homotopy groups and Lie algebras

We survey the role of Lie algebras in the study of unstable homotopy groups. This article is part of the theme issue 'Derived Lie algebras in geometry and topology'.

Anchors for Homology-Based Scaffolding

Homology-based scaffolding orders contigs based on conserved collinearity of homologous sequences across related species. Existing methods often rely on costly whole-genome alignments or show limited robustness when integrating multiple references. Here, we introduce an anchor-ba...

Approximately optimal search on a higher-dimensional sliding puzzle

Abstract Higher-dimensional sliding puzzles are constructed on the vertices of a d -dimensional hypercube, where $$2^d-l$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msup> <mml:mn>2</mml:mn> <mml:mi>d</mml:mi> </mml:msup> <mml:mo>-</mml:mo> <mml:mi>...

Computational History of Chemistry – Part 2: Multiple Scales, from the Individual to the Global

This article demonstrates the power of computational methods to illuminate the history of chemistry across multiple scales - from the micro-level of individual scientific careers to the macro-level of global knowledge systems and geopolitical shifts. Grounded in a tripartite fram...

A round of Pintz to celebrate oscillations in sums

Abstract We explore a method, going back to Landau and developed by Pintz, for connecting sums of arithmetic functions with zero-free regions for $$L$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>L</mml:mi> </mml:math> -functions. In particular, we make expl...

Warum finanzielle Anreize verpuffen: Verhaltensökonomische Perspektiven auf wirtschaftspolitische Maßnahmen in der Energiekrise

Zusammenfassung Vor dem Hintergrund der Energiekrise 2022/23 und der Gefahr einer Gasmangellage suchte die deutsche Wirtschaftspolitik das Verbrauchsverhalten der Haushalte durch finanzielle Anreize zu beeinflussen. Markus Dertwinkel-Kalt und Matthias Sutter analysieren, warum hi...