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K-State Today

December 8, 2015

Mathematics Colloquium Dec. 8

Submitted by Reta McDermott

Qingtao Chen, Swiss Federal Institute of Technology in Zurich, will present "Congruent Skein Relations and Various Volume Conjectures for Quantum Invariants" as part of the Mathematics Department Colloquium Lecture series at 2:30 p.m. Tuesday, Dec. 8, in 122 Cardwell Hall.

The abstract for the lecture: I will first briefly review the history of quantum invariants. Then I will explain in detail how we obtain these congruent skein relations for (reformulated) colored HOMFLY-PT invariants from the idea from framed Labastida-Marino-Ooguri-Vafa Conjecture. I will also discuss the congruent skein relations of colored Jones polynomials and SU(n) invariants. Finally I will report a recent discovery of Volume Conjectures and cyclotomic expansion for SU(n) invariants. These are joint works with K. Liu, P. Peng and S. Zhu. If time permits, I will also report a Volume Conjecture for Reshetikhin-Turaev and Turaev-Viro invariants, which is a joint work with Tian Yang.