# Math Calendar

 Categories: Choose a category... View all categories _______________________ Biomath Seminar Colloquium Computational Analysis Seminar Departmental Student Awards Faculty Meeting Graph Theory and Combinatorics Seminar Informal von Neumann Algebras Seminar Noncommutative Geometry and Operator Algebras Seminar Partial Differential Equations Seminar Subfactor Seminar Symplectic and Differential Geometry Seminar Topology and Group Theory Seminar Undergraduate Seminar Universal Algebra and Logic Seminar Vandy Math Club RSS

###### » Seminar Pages

September 30, 2013 3:00 pm (Monday)

## Relationships Between Different Definitions of Conformal Field Theory

James Tener,
Location: Stevenson 1404

We will introduce three mathematical structures intended to capture the notion of a conformal field theory: conformal nets, vertex operator algebras, and Segal CFT. We will discuss the (philosophical) relationship between these different structures, as well as ongoing work to produce examples and theorems that implement these relationships.

October 1, 2013 4:10 pm (Tuesday)

## A Perspective on Fifty Years of Work, Delight and Discovery in General Algebra

Ralph McKenzie, Vanderbilt University
Location: Stevenson 1310

I conceive the talk to be like a ramble through general algebra and related fields of mathematics such as logic, model theory, graph theory and computational complexity. It will be in part a highly personal and biased offering of some of my reflections on personalities, good results and false starts collected over a long career in research. But also, I will strive to convey a convincing picture of a youthful field currently enjoying a vigorous state of healthy development.

October 1, 2013 6:00 pm (Tuesday)

## Hyperpower to the Max!: An E-Z Look at Tetrations and Their Maximization

Josh Sparks, Vanderbilt University
Location: Stevenson 1206

Just when you just felt safe with exponents... here comes the hyperpower. Also known as the tetration or the repeated exponent, the hyperpower takes a number, x, and forms a chain x^(x^(x^(x^....) that, if extended to an infinite tower, tends to blow up pretty darn often. We will first explore a common math competition problem using this concept, and then look at graphical and calculus-based solutions to maximizing the function. From there we'll discuss the creation of Lambert's W function and the range of what values these infinite hyperpowers actually exist, overall showing that these crazy expressions are Easier than they appear!

October 2, 2013 3:10 pm (Wednesday)

## Learning Theory and Minimum Error Entropy Principle

Ding-Xuan Zhou, City University Hong Kong
Location: Stevenson 1307

October 2, 2013 4:10 pm (Wednesday)

## Locally Compact Hyperbolic Groups

Dennis Dreesen, University of Southampton
Location: Stevenson 1310

The common convention when dealing with hyperbolic groups is that such groups are finitely generated and equipped with the word length metric relative to a finite symmetric generating subset. Gromov's original work on hyperbolicity already contained ideas that extend beyond the finitely generated setting. We study the class of locally compact hyperbolic groups and elaborate on the similarities and differences between the discrete and non-discrete setting.

October 3, 2013 4:10 pm (Thursday)

## The Stable Coefficients of the Jones Polynomial of a Link

Stavros Garoufalidis, Georgia Tech
Location: Stevenson 5211

The Jones polynomial of a link is a finite collection of integers placed at different degrees. We propose a structure theorem for the (stable) coefficients of an alternating link in terms of a flag algebra of graphs, verify it for the first 4 coefficients and present further experimental evidence for the next two. This leads to natural and open questions about categorification of alternating links, and to questions on the structure of flag algebras. Joint work with Thao Vuong and Sergey Norin. Tea at 3:30 pm in SC 1425.

October 4, 2013 4:10 pm (Friday)

## Analyticity of Solutions to the Yamabe Flow on Non-Compact Manifolds

Yuanzhen Shao, Vanderbilt University
Location: Stevenson 1307

The Yamabe flow can be considered as an alternative approach to the famous Yamabe problem. Nowadays there is increasing interest in studying the Yamabe flow on non-compact manifolds. We show by means of continuous maximal regularity theory and the implicit function theorem that in every conformal class containing at least one real analytic metric, solutions to the Yamabe flow immediately become analytic jointly in time and space. In comparison with the existing results, we do not ask for a uniform bound on the curvatures of the initial metric. We will also briefly discuss a generalization of our results on singular manifolds.

October 4, 2013 4:10 pm (Friday)

## The 3D Index of a Cusped Hyperbolic 3-Manifold

Stavros Garoufalidis, Georgia Tech
Location: Stevenson 1432

The 3D index of Dimofte-Gaiotto-Gukov is a partially defined function on the set of ideal triangulations of 3-manifolds with torus boundary, which is partially invariant under 2-3 moves. It turns out that an ideal triangulation has 3D index if and only if it is 1-efficient. Moreover, the 3D index descends to a topological invariant of cusped hyperbolic manifolds. Parts are joint work with Hodgson-Rubinstein-Segerman.

October 6, 2013 2:00 pm (Sunday)

## Department Picnic

Location: Edwin Warner Park Area 11