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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Categorical diagonalization

## Categorical diagonalizationAdd to your list(s) Download to your calendar using vCal - Matthew Hogancamp (University of Southern California)
- Wednesday 28 June 2017, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact INI IT. HTLW04 - Quantum topology and categorified representation theory It goes without saying that diagonalization is an important tool in linear algebra and representation theory. In this talk I will discuss joint work with Ben Elias in which we develop a theory of diagonalization of functors, which has relevance both to higher representation theory and to categorified quantum invariants. For most of the talk I will use small examples to illustrate of components of the theory, as well as subtleties which are not visible on the linear algebra level. I will also state our Diagonalization Theorem which, informally, asserts that an object in a monoidal category is diagonalizable if it has enough ``eigenmaps''. Time allowing, I will also mention our main application, which is a diagonalization of the full-twist Rouquier complexes acting on Soergel bimodules in type A. The resulting categorical eigenprojections categorify q-deformed Young idempotents in Hecke algebras, and are also important for constructing colored link homology theories which, conjecturally, are functorial under 4-d cobordisms. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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