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Thin cobordisms in conformal field theory

QMAP Seminar

Speaker: James Tener, Australian National University
Related Webpage: https://tener.cc/
Location: 2112 MSB
Start time: Fri, Mar 6 2020, 12:00PM

The mathematics of conformal field theory means different things to different people. The three most common ways of studying 2d chiral conformal field theories are i) vertex aglebras, ii) nets of operator algebras, and iii) geometric field theories which assign invariants to complex cobordisms. In this talk I will present an extension of the notion of geometric field theory in which the Riemann `surfaces' are allowed to have incoming and outgoing boundary overlap. I will also discuss how these `surfaces' are used in studying operator algebraic questions in conformal field theory.