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Research Spotlight

Putting current research center stage

Our institute represents a great variety of research topics that affect current developments both within the natural sciences as well as social and economic life. In our column Research Spotlight MiS scientists are presenting key ideas and giving insights into recent developments of their research in a short video format.

Research Spotlights
06.05.22

Markus Tempelmayr — A diagram-free approach to the stochastic estimates in regularity structures

We explore the version of Hairer's regularity structures based on a greedier index set than trees, as introduced by Otto, Sauer, Smith and Weber.
Research Spotlights
25.08.21

Claudia Fevola — KP Solitons from Tropical Limits

In this talk, we study solutions to the Kadomtsev-Petviashvili equation whose underlying algebraic curves undergo tropical degenerations.
Research Spotlights
25.08.21

Pablo Linares & Markus Tempelmayr — A tree-free construction of the structure group

We present a new approach to regularity structures, and in particular to the construction of the structure group, which replaces the tree-based framework of Hairer by a more Lie-geometric setting.
Research Spotlights
03.08.21

Daniele Agostini — Curves and theta functions: algebra, geometry & physics

In this talk, I present some of the results obtained in my group about theta functions of algebraic curves, and especially how they connect to the physics of water waves through the KP equation.
Research Spotlights
03.08.21

Stefan Hollands — General Relativity and Quantum Theory

In this short overview talk I outline some of my core research interests, ranging from Mathematical General Relativity, to Quantum Field- and Information Theory.
Research Spotlights
19.07.21

Guido Montúfar — Implicit Bias in Wide Neural Networks

We investigate gradient descent training of overparametrized neural networks with rectified linear units and the corresponding implicit bias in function space.
Research Spotlights
19.07.21

Rostislav Matveev — Tropical Probability and Entropic Inequalities

Tropical Probability is a new method to address problems in Information Theory and related fields of research.
Research Spotlights
24.06.21

Wilmer Leal — Exploration of the chemical space

In this talk, we explore large-scale patterns emerging in the last two centuries of chemical history, in particular, on the growth of chemical knowledge, the use of reactants and the synthesis of products, which reveal both conservatism and sharp transitions in the exploration of the chemical space.
Research Spotlights
24.06.21

Noémie Combe — How many Frobenius manifolds are there?

In this talk an overview of my recent results is presented. In a joint work with Yu. Manin (2020) we discovered that an object central to information geometry: statistical manifolds (related to exponential families) have an F-manifold structure.