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Dr. Nathan Geer, Utah State University, "Re-normalized Link Invariants"

When:

Thursday, January 10, 2019 from 4:10pm to 5:00pm

Where:

Wilson Hall, 1144 - view map

Description:

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, the Akutsu-Deguchi-Ohtsuki invariant of links and the multi-variable Alexander Polynomial.  Moreover, these re-normalized invariants of knots are meromorphic functions whose residues are closely related to the the colored Jones polynomials.  

Contact:

Department of Mathematical Sciences
Ryan Grady
406-994-3601
[email protected]

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Located in Bozeman, MT

Montana State University: Mountains and Minds
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