[BlindMath] Math Talk by Blind Mathematician

[Amelia Palmer]

Hello Blind Math,

I'm a blind math graduate student and am giving a talk on zoom Friday
November 15 3:00PM Mountain Time US.

Title: Self Pontryagin Dual Groups and the Volume Conjecture

Abstract: This talk explores the interplay between self Pontryagin dual
groups and the Volume Conjecture in the context of quantum invariants of
knots. We will begin by defining self dual groups and discussing the open
problem of characterizing these mathematical structures. Moving forward, we
will introduce Gaussian groups and the assertion that every Gaussian Group
is self dual. A critical component of our discussion will be the quantum
dilogarithm, which serves as a bridge linking these groups to quantum
invariants of knots. We will delve into hyperbolic knots and their
complements, addressing quantum invariants, particularly the Jones
polynomial and the Kashaev invariant, in knot theory. Additionally, we will
discuss the 6j symbol and its relevance to our topic and reference
Kashaev's 1997 formula of the volume conjecture in the case of hyperbolic
knots. Finally, we will conclude with the Volume Conjecture and its
relationship to the colored Jones polynomial, framing an open question that
invites further exploration in this area of research.

Zoom Information: https://boisestate.zoom.us/j/92002705536 Meeting ID: 920
0270 5536

TATERS Boise State University
<https://sites.google.com/boisestate.edu/taters/>

LaTeX source code of slides will be available soon.

*Amelia Palmer Dusenbury*
*Special Project Graduate Teaching Assistant **Accessibility of Math
Learning Center Courses*
Department of Mathematics Boise State University
*Vice President of Idaho Educational Services for the Deaf and the Blind
Foundation <https://www.iesdbfoundation.com/>*