EPSRC Reference: 
EP/S017216/1 
Title: 
2representation theory and categorification 
Principal Investigator: 
Miemietz, Dr V 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Mathematics 
Organisation: 
University of East Anglia 
Scheme: 
Standard Research 
Starts: 
01 April 2019 
Ends: 
31 March 2022 
Value (£): 
329,519

EPSRC Research Topic Classifications: 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
While in mathematics it is very often helpful to break complicated problems down into less complicated ones by simplifying and forgetting data, the converse has often proved useful. The term categorification refers to the process of finding more complicated structures which, upon forgetting some information, reproduce the original problem that one wants to study. The more complicated structures often allow us to deduce useful information that was previously inaccessible. For example, an integer number solving a certain equation might a priori be anything, but if we then discover that this certain number, in fact, describes the number of elements in a set (e.g. cats in a household), it cannot be negative.
Categorification in representation theory is usually formulated in terms of certain structures called 2categories encoding generalised symmetries of other categories, or in other words, 2representations of 2categories. To develop the theory of 2representations of 2categories (with certain nice properties abstracted from interesting examples) and to apply them to some of the original problems that inspired their definition is the aim of this proposal.

Key Findings 
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Potential use in nonacademic contexts 
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Description 
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Summary 

Date Materialised 


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Further Information: 

Organisation Website: 
http://www.uea.ac.uk 