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Non-Positive Curvature Group Actions and Cohomology

3rd January 2017 to 23rd June 2017

Programme Theme

The concept of curvature describes a fundamental spatial attribute and it has found a place at the core of science since its inception.

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Figure from Ken Baker's Sketches of Topology blog

Homology Theories in Low Dimensional Topology

9th January 2017 to 30th June 2017

The subject of homology theories in low-dimensional topology dates back to the work of Floer, and gained new breadth and vigour with the introduction of Khovanov homology fifteen years ago. Since then, these theories have had a far-reaching impact both in topology and more widely with analysts, algebraists, geometers, and physicists all contributing to and benefiting from their development.

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Operator Algebras: Subfactors and their Applications

9th January 2017 to 23rd June 2017

The study of subfactors was initiated by Vaughan Jones in the early 1980's, in the theory of von Neumann algebras of operators on Hilbert spaces. Subfactor theory rapidly led to connections with link and 3-manifold invariants, quantum groups and exactly solvable models in statistical mechanics reinforcing the connections with physics. This programme focuses on these wide ranging applications as well as the underlying structure theory of operator algebras and subfactors.

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Primer on subfactors and applications

11th January 2017 to 20th January 2017

Workshop Theme

The purpose of this workshop is to provide the background and entry to the six month programme to graduate students, postdocs and established workers. This primer will consist of four mini-courses of 4 hours each.

Since space is limited, particularly since two programmes are running in parallel with this one, applications for attendance need to be made through the registration process.

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Winter school workshop

16th January 2017 to 20th January 2017

Workshop Theme

The first event of the INI program Homology theories in low-dimension will be a week-long winter school, running January 16-20 2017, targeted at graduate students and early career researchers. There will be three distinct streams, organized to reflect the focus of the program as a whole. The anticipated streams are as follows:

Topics in Floer homology
Stream leader: Adam Levine, (Princeton University)
Additional lectures by: Liam Watson (University of Glasgow)

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Stimulating the interchange of knowledge and ideas between academics from different disciplines and users of modern mathematics such as industry and policy makers, the Turing Gateway facilitates access to experts with highly specialist mathematical knowledge.

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The Institute now invites proposals for 1-, 4- and 6-month research programmes in any branch of the mathematical sciences.

The deadline for submission is 31 January 2017, for consideration at the meeting of the Scientific Steering Committee in May 2017.

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The Isaac Newton Institute is a singularity in the research landscape - scientists from the whole world meet and push the frontiers of science.

Stephanie Widder

Stefanie Widder, University of Vienna

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons