Categorification in quantum topology and beyond

at.algebraic-topology gt.geometric-topology qa.quantum-algebra rt.representation-theory sg.symplectic-geometry
Start Date
2019-01-07 
End Date
2019-01-18 
Institution
Erwin Schrödinger International Institute for Mathematics and Physics 
City
Vienna 
Country
Austria 
Meeting Type
conference 
Homepage
http://www.categorification.net/esi19 
Contact Name
Paul Wedrich 

Description

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

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