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The Erwin Schroedinger Institute for Mathematical Physics

Categorification in Quantum Topology and beyond

Categorification is a flexible and powerful set of techniques and ideas, which produces insight about mathematical structures by viewing them as shadows of objects in a richer world, often described in terms of higher categories. Two important and interrelated categorification programmes, which are the basis for this workshop, concern the concepts of quantum link homologies and higher representation theory. Both have their origin in mathematics, but have since developed into some of the most fruitful grounds for collaboration between pure mathematics and theoretical physics. 

The goals of this workshop are twofold. The first week will make the rapid developments in these areas of categorification accessible to non-experts and intensify communication between specialists in these and related areas like TQFT, quantum Teichmüller theory, and gauge theory. The second week will be used to host a research conference with thematic emphasis on categorification of skein theory and 3-manifold invariants. 

We can offer limited funds to PhD students working on categorification in quantum topology, broadly defined, to attend the lectures in the first week. To register your interest, please write an email to, stating whether or not your home institute would financially support your stay, and briefly describe your work (in two or three sentences). For planning reasons, we appreciate early notes of interest; the final application deadline for support for the first week is October 15, 2018. 

Schedule Week 1, January 7 - 11, 2019 (pdf)

Schedule Week 2, January 14 - 18, 2019 (pdf)

At a glance

Type: Workshop
When: Jan 07, 2019 to
Jan 18, 2019
Where: ESI, Boltzmann Lecture Hall
Organizers: Nils Carqueville (ESI, U Vienna), Anton Mellit (U Vienna), Paul Wedrich (Australian National U, Canberra)
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