Yoshikazu Yamaguchi (Akita University)

Title: Adjoint Reidemeister torsion for hyperbolic once-punctured torus bundles

Abstract: In this talk, we discuss the adjoint Reidemeister torsion for hyperbolic once-punctured torus bundles. We see how Chebyshev polynomials give an explicit formula in the case of tunnel number one. We will also discuss the conjecture by D. Gang, S. Kim, and S. Yoon, which relates to the sum of the inverse of adjoint Reidemeister torsion over a level set of a function on a character variety. This is a joint work with A. T. Tran (The University of Texas at Dallas).