# Seminars & Events for 2007-2008

##### HF-hat for 3-manifolds with boundary, via a toy example

We will start by sketching the nature of our extension of HF-hat to 3-manifolds with boundary. Following this, we will focus on a toy model, in terms of planar grid diagrams, in which the main aspects of the theory can be readily seen. We will conclude by mentioning the additional complications not present in the toy model.

This is joint work with P. Ozsvath and D. Thurston.

##### Multizeta values and related structures in function field arithmetic

##### Game Options, Risk and their Binomial Approximations

Game (Israeli) options which I introduced in 2000 extend the setup of American options by allowing their issuer to call them back (cancell) paying certain penalty for that. Pricing of such options leads to Dynkin’s optimal stopping games.

##### From an analogue of Ewens' measure on the unitary group to the circular Jacobi ensemble

Bad Link to abstract - http://orfe.princeton.edu/nikeghbali-abstract1.pdf

##### Nonconvergence examples in averaging

Systems which combine fast and slow motions lead to complicated two scale equations and the averaging principle suggests to approximate the slow motion by averaging in fast variables.

##### The Divisor Matrix, Dirichlet Series and SL(2,Z)

The divisor matrix is indexed by the natural numbers with $(i,j)$ entry equal to $1$ if $i$ divides $j$ and $0$ otherwise. The convolution of a Dirichlet series with the Riemann zeta function corresponds to multiplication of the sequence of coefficients by the divisor matrix.

##### Competition, Human Capital, and Growth: a MFG stylized model

Abstract Missing - bad link http://orfe.princeton.edu/lasry-abstract.pdf

##### Efficient Curve Detection using the Gauss-Newton Method

The problem of finding curves, like straight lines, circles, or ellipses in images is very important in computer vision. There are already well-established approaches to such problems that rely on voting cells in the parameter space (Rough transform) or sampling techniques like RANSAC.