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Categorification in Representation Theory (MIEMIETZU16SF)

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  • Full or part time
    Dr Miemietz
  • Application Deadline
    No more applications being accepted
  • Self-Funded PhD Students Only
    Self-Funded PhD Students Only

Project Description

This PhD project will investigate questions surrounding categorification in various areas of representation theory.
Categorification has seen many breakthroughs in the last 15 years, with new algebras being defined, which categorify other known ones, and which are usually closely related to algebras that have been studied before. This gives rise to new methods to tackle long-standing problems.
The PhD project will study special classes of examples, depending on the interests of the candidate.

Funding Notes

This PhD project is offered on a self-funding basis. It is open to applicants with funding or those applying to funding sources. Details of tuition fees can be found at http://bit.ly/1Jf7KCr

A bench fee is also payable on top of the tuition fee to cover specialist equipment or laboratory costs required for the research. The amount charged annually will vary considerably depending on the nature of the project and applicants should contact the primary supervisor for further information about the fee associated with the project.

References

i) M. Auslander, I. Reiten, S. Smal\o, \emph{Representation theory of Artin algebras}. Cambridge Studies in Advanced Mathematics, 36. Cambridge University Press, Cambridge, 1995.
ii) I. Assem, D. Simson, A. Skowro\'nski, Elements of the representation theory of associative algebras. Vol. 1. Techniques of representation theory. London Mathematical Society Student Texts, 65. Cambridge University Press, Cambridge, 2006.
iii) V. Mazorchuk, Lectures on algebraic categorification. QGM Master Class Series. European Mathematical Society (EMS), Zürich, 2012.

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