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- Representation theory of a Quantum SU(2)
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- Home
- Our school
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- Our research
-
Student life & resources
Postgraduate research
- Info for new students
- Current research students
- Postgraduate conference
- Postgraduate events
- Postgraduate student awards
- Michael Tallis PhD Research Travel Award
- Information about research theses
- Past research students
- Resources
- Entry requirements
- PhD projects
- Obtaining funding
- Application & fee information
Student services
- Help for postgraduate students
- Thesis guidelines
- School assessment policies
- Computing information
- Mathematics Drop-in Centre
- Consultation
- Statistics Consultation Service
- Academic advice
- Enrolment variation
- Changing tutorials
- Illness or misadventure
- Application form for existing casual tutors
- ARC grants Head of School sign off
- Computing facilities
- Choosing your major
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Abstract:
To avoid paradoxes, the geometry of physics at the very smallest scales must be non-commutative. The symmetries of such a geometry constitute a structure called a Quantum Group. In this talk we build one instance of a quantum group - quantum SU(2), and study its representation theory. This theory leads us to a beautiful generalisation of Pontryagin duality - Tannaka-Krein duality for compact quantum groups, which says that any C*-tensor category with a fibre functor can be realised as the representation category of some compact quantum group up to a natural equivalence.
Speaker
Ryan Seelig
Research Area
Pure Maths Seminar
Affiliation
UNSW Sydney
Date
Fri, 16/04/2021 - 1:00pm
Venue
Zoom link: https://unsw.zoom.us/j/84672107122