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In the last few decades it became apparent that notions of expansion lie at the intersection of numerous topics of research. Passing through ergodic theory, representation theory spectral analysis, this topic draws techniques from fields ranging from geometry to group theory and operator algebras. Such a diverse range of tools and applications is an endless source of inspiration and lively research that continues to this day. This workshop aims to bring together experts in the field to report on recent progresses and outline a plan for future research.














The objective of the workshop is to present and discuss in detail some of the recent exciting developments in geometric partial differential equations. Topics will include the Ricci-flow, mean curvature flow and related PDEs, minimal surfaces, as well as stability problems and structure of singularities in general relativity and many more.
Hermitian K-theory is the study of unimodular forms through the eyes of K-theory. In work of B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, M. Land, K. Moi, D. Nardin, T. Nikolaus and W. Steimle, it was recently shown that there is a fibre sequence relating ordinary algebraic K-theory, hermitian K-theory (aka Grothendieck-Witt theory) and L-theory in a very general context. The online lectures of Markus Land (Copenhagen) and Yonatan Harpaz (Paris 13) will focus on these results.
Hermitian K-theory is the study of unimodular forms through the eyes of K-theory. In work of B. Calmès, E. Dotto, Y. Harpaz, F. Hebestreit, M. Land, K. Moi, D. Nardin, T. Nikolaus and W. Steimle, it was recently shown that there is a fibre sequence relating ordinary algebraic K-theory, hermitian K-theory (aka Grothendieck-Witt theory) and L-theory in a very general context. The lectures will focus on these results. One lecture series focuses on Grothendieck-Witt theoretic aspects and one focuses on L-theoretic aspects.
Mechanisms of transport and mixing play an essential role in the dynamics of ideal fluids. Their study has immediate impact on the understanding of turbulent incompressible or compressible flows, with real-world applications e.g. in oceanography or atmospheric dynamics.
This workshop will explore transport and mixing phenomena from a broad intradisciplinary perspective, involving PDE techniques, harmonic analysis, optimal transport, stochastic PDEs, numerical simulation, and modelling aspects.
A conference in memoriam Ragnar-Olaf Buchweitz
The aim of this conference is to bring together specialists from the algebraic (or arithmetic) and the pure model theory community who all study valued fields, but with very different tools.
The topics covered in the talks will range from the more classical model theory of valued fields (field arithmetic, in particular definability of valuations, and model theory of valued fields in positive characteristic, in particular concerning decidability) to the pure or geometric side of the model theory spectrum (connections to neostability and geometric methods in the model theory of valued fields). To encourage new developments, there also will be talks presenting applications of model theory of valued fields, e.g. to non-archimedean geometry and motivic integration.


The purpose of the meeting is to study relationships between local and global invariants in Riemannian Geometry. Our intention is to bring together experts in the field as well as young mathematicians. We plan to schedule talks from the morning of Monday, 29 July, through the afternoon of Friday, 2 August. The program of the Workshop is structured so that beyond the lectures there will be many opportunities for intensive discussions.
The conference aims to establish strong interactions between probability theory, analysis and statistical mechanics to investigate physical systems with random input and high degree of comlexity. It will bring together leading experts of a wide spectrum of all three topics as well as young researchers and foster an intense exchange of ideas.
The Calculus of Variations is a research field whose boundaries have been constantly pushed by questions emerging both in pure mathematics and in the applied sciences. The scope of this Workshop is to bring together experts in the field who will present talks on recent advances in theoretical and applied problems in the Calculus of Variations.
The conference will take place from 11 to 13 November 2019. The following speakers have confirmed their attendance: Erin Carson (Charles University), Wim Vanroose (University of Antwerp), Stefano Zampini (KAUST), Laura Grigori (INRIA), Eike Müller (University of Bath), Andreas Frommer (University of Wuppertal), Nicole Spillane (École Polytechnique) , Andrew T. Barker (LLNL).