19-20 December 2018
Centre for Particle Theory, Durham
Europe/London timezone

What do knots, quantum computation and field theories have in common?

20 Dec 2018, 09:00
20m
CM107 (Department of Mathematical Sciences)

CM107

Department of Mathematical Sciences

Speaker

Mr Rajath Radhakrishnan (Queen Mary University of London)

Description

Knots are deceivingly simple mathematical objects. Showing whether two knots are the same or not is a hard problem. While it can be done easily by inspection for simple knots, the problem becomes hard very quickly. Ideally, to distinguish between inequivalent knots we have to define knot invariants. At first sight, this may not have anything to do with quantum computation or field theories. However, it turns out that these subjects are intimately related to each other through an algebraic object called a modular tensor category (MTC). In this talk, I will describe an MTC and explain how it forms the bridge between the aforementioned topics.

Primary author

Mr Rajath Radhakrishnan (Queen Mary University of London)

Presentation Materials

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