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Re-normalized Link invariants

Mathematical Physics Seminar

Speaker: Nathan Geer, Utah State
Location: 2112 MSB
Start time: Tue, Jan 22 2019, 12:30PM

In the last few years, C. Blanchet, F. Costantino, M. De Renzi, B. Patureau, N. Reshetikhin, V. Turaev and myself (in various collaborations) have developed a theory of renormalized quantum invariants of links and 3-manifolds which lead to TQFTs. This talk will start out by giving an overview of this work. In the second part of the talk I will discuss the renormalized quantum invariants of links coming from quantized sl(2) at a root of unity. These link invariants contain Kashaev's quantum dilogarithm invariants of knots and the multi-variable Alexander Polynomial. This theory is also related to logarithmic conformal field theory.