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The aim of this conference is to foster the development of new theoretical mathematical tools and methods of analysis, numerics, and applications in the field of nonlinear nonlocal aggregation-diffusion and kinetic equations within the broad area of PDEs.
Venue: CIRM, Luminy
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In many areas of dynamics and geometry, the ideas of renormalization and self-similarity play a crucial role. These ideas involve rescaling dynamical or geometric phenomenon to observe behaviors at multiple scales. This conference will focus on the following problems:
Venue: CIRM, Luminy
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Venue: University of Manchester
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Venue: Princeton University and IAS
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Venue: University of Bristol
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In the past two decades the field of dispersive and wave equations has witnessed a remarkable amount ofd. successful research that has been underlined by the use of tools for a broad spectrum of analytic areas: harmonic and Fourier analysis, hyperbolic theory, microlocal analysis, differential geometry, probability, analytic number theory and dynamical systems.
The conference will focus on a number of different areas, including well-posedness for critical and supercritical Schrödinger and wave equations, blow up, profile decomposition, soliton resolution conjecture, invariance of Gibbs measures and well-posedness of dispersive equations with random data, Strichartz estimates and related results in harmonic analysis, energy transfer and derivation of wave kinetic equations.
Venue: Monash University
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The mapping class group (in short, MCG) of a surface is a fundamental object of study in topology and in geometry, where it is regarded as the orbifold fundamental group of the moduli space of Riemann surfaces homeomorphic to the surface. Based on Tillman’s works, Madsen and Weiss proved that the stable part of the rational cohomology algebra is generated by the Mumford-Morita-Miller tautological classes. Before that, Johnson proposed to study the MCG through its action on the pro-nilpotent completion of the fundamental group of the surface. The two approaches to the mapping class group — cohomological and pro-nilpotent — were bridged in Morita’s works.
Recently, new developments occured: functor homology proved to be very useful to compute the twisted cohomology of the MCG, and the theory of “Johnson homomorphisms” benefited from explicit computations in small degrees. Furthermore, the theory was related to quite different topics: the anabelian geometry of Grothendieck, the universal finite-type invariants of 3-manifolds, the Goldman-Turaev Lie bialgebra or the Kashiwara-Vergne problem.
The purpose of this conference is to strengthen these recent advances on cohomological and pro-nilpotent approaches of the MCG at the crossroad of algebraic topology, low-dimensional topology, group theory, number theory and Lie theory. Thought of as a sequel to the series of workshops “Johnson homomorphisms and related topics” held in Tokyo in the last years, it is intended to reach a wide community of mathematicians across Europe and beyond.
Venue: SwissMAP Research Station
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CMI Enhancement and Partnership Program
Venue: Princeton University
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This workshop will bring together specialists working on topics involving geometric inequalities, isoperimetric and functional inequalities, partial differential equations on variable domains, with particular attention to the dependence of the solutions of the state equations (generally partial differential equations) on the geometry of their domain of definition and will include specialists on the following topics :
– shape optimization problems
– isoperimetric and functional inequalities
– free boundary problems ;
– spectral optimization problems ;
– convex geometric tools and geometric inequalities ; – free boundary regularity of optimal shapes
– numerical aspects of singular shapes ;
– geometric flows and PDE’s.
CMI Enhancement and Partnership Program
Venue: Levico Terme, Italy
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The fifteenth edition of the Young Topologists Meeting will take place in July 2023 at EPFL, Lausanne, Switzerland. This meeting, which was organized for the first time in Switzerland in 2007, aims to bring together young researchers in topology in order to share and discuss their research. It has become an esteemed event in the field.
Image: Mediacom EPFL, Wikimedia Commons
CMI Enhancement and Partnership Program
Venue: EPFL
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The aim of the meeting is to explore newly emerging interactions between C*-algebras and unitary representation theory on one side, and regularity properties of linear PDE, especially hypoellipticity, on the other, as well as current and future potential applications.
CI Enhancement and Partnership Program
Venue: National and Kapodistrian University of Athens
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The Iwasawa conferences are an international conference series that has been taking place roughly biennially since 2004 and is the established regular conference that updates the research community on progress in Iwasawa theory. The focus of the 2023 meeting will be slightly wider to reflect the interests of John Coates.
Coates made fundamental contributions to our understanding of elliptic curves, L-functions and the Birch–Swinnerton-Dyer conjecture, and was one of the founders of Iwasawa theory of elliptic curves and of non-commutative Iwasawa theory. He held the Sadleirian chair of mathematics at Cambridge until his retirement (1986–2012), was elected a fellow of the Royal Society in 1985, and served as the President of the London Mathematical Society in 1988–1990.
CMI Enhancement and Partnership Program
Venue: University of Cambridge