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Microlocal Analysis and PDEs

This workshop is devoted to recent trends and developemtns in microlocal analysis and partial differential equations.  Microlocal analysis is a technique that generalizes the Fourier transform in order to deal with PDEs with variable coefficients.  The foundation of microlocal analysis was laid by Lars Hörmander and remains at the cutting edge of the modern analysis of PDEs.   It has extensive application both within and outside mathematics, such as, among others, geometry, general relativity, inverse problems, (medical) image reconstruction techniques, tomography, seismology, etc.  This event aims to promote and strengthen this research area.

CMI Enhancement and Partnership Program

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Venue: University College London

K-theory, Algebraic Cycles and Motivic Homotopy Theory Workshop

The programme will focus on the areas of Algebraic K-theory, Algebraic Cycles and Motivic Homotopy Theory. These are fields at the heart of studying algebraic varieties from a cohomological point of view, which have applications to several other fields like Arithmetic Geometry, Hodge theory and Mathematical Physics.

It was in the 1960s that Grothendieck first observed that the various cohomology theories for algebraic varieties shared common properties, which led him to explain the underlying kinship of such cohomology theories in terms of a universal motivic cohomology theory of algebraic varieties. The theory of Algebraic Cycles, Higher Algebraic K-theory, and Motivic Homotopy Theory are modern versions of Grothendieck’s legacy. In recent years it has seen some spectacular developments, on which we want to build further.

The programme will also specifically explore the connections between the following areas:

  • Algebraic K-theory, Motivic Cohomology, and Motivic Homotopy Theory;
  • Hodge theory, Periods, Regulators, and Arithmetic Geometry;
  • Mathematical Physics.

Professor Phillip Griffiths (IAS and Miami) will give the Clay Lecture at this event.

CMI Enhancement and Partnership Program

Details

Venue: Isaac Newton Institute for Mathematical Sciences

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Griffiths lecture notes