June 1 – 30, 2019 » Homological Algebra, Microlocal Analysis and Symplectic Geometry

Organizers: Emmanuel Giroux (UMI CNRS-CRM & ENS Lyon), Stéphane Guillermou (Grenoble Alpes) 

The first week (June 3-7) will be devoted to mini-courses meant to introduce the necessary background material:

– Generating Functions, Old and New,
by Sylvain Courte;
– Microlocal Theory of Sheaves,
by Stéphane Guillermou;
– Introduction to 2-Categories,
by André Joyal.

The next two weeks (June 10-14 and June 17-21) will be devoted to series of lectures and discussion sessions on the following recent works:

– Microlocal Category of a Symplectic Manifold,
by Dmitri Tamarkin;
– Wrapped Floer Theory for Liouville Sectors,
by Sheel Ganatra, John Pardon and Vivek Shende;
– Arboreal Skeleta of Weinstein Manifolds,
by David Nadler and Laura Starkston;
– Floer Theory and Quantization of Exact Lagrangians in Cotangent Bundles,
by Claude Viterbo.

A conference on related topics will be held at CRM during the final week of the programme (June 24-28).

More details will be posted on this webpage in the next few weeks.

May 1 – 31, 2019 » Data Assimilation: Theory, Algorithms, and Applications

Organizers: Tony Humphries (McGill), Sebastian Reich (Potsdam & Reading), Andrew Stuart (Caltech)

The seamless integration of large data sets into computational models provides one of the central challenges for the mathematical sciences of the 21st century. When the computational model is based on dynamical systems and the data is time ordered, the process of combining data and models is called data assimilation. Historically, the field has been primarily developed by practitioners within the geophysical sciences; however, it has enormous potential in many more subject areas.

This month-long thematic activity is aimed at developing the underpinning mathematical theory of data assimilation, the process of combining data with dynamical systems to learn hidden states and unknown parameters. The activities will be guided and informed by applications coming from the physical, biomedical, social and cognitive sciences. Methodologies based around particle filtering, ensemble Kalman filtering, optimization and Bayesian inverse problems will underpin the program. Long-term visitors in all of these fields will be present, and a number of short-term visitors will attend around the four workshops devoted to underpinning methodologies, geophysical applications, biomedical applications and applications from the social and cognitive sciences.