Title: Perturbations of Orthogonal Polynomials
Department: Mathematics

To form a random infinite graph, you start with a countably infinite set of vertices and flip a coin for each pair to determine whether to place an edge between them. This talk is about the graphs you get through this process. The story illustrates a nifty connection between probability, graph theory and logic.

Society for the Study of the History of Analytical Philosophy

Annual Conference

jointly organized by UConn & Wesleyan University

at the UConn Graduate Business Learning Center, Hartford, and Wesleyan University, Middletown

Conference Program and details:

http://sshap.org/

Registration:

https://secure.touchnet.com/C21646_ustores/web/store_main.jsp?STOREID=296

We are grateful for the support of the UConn College of Liberal Arts and Sciences, the UConn Office of the Vice President for Research, the UConn Philosophy Department, the UConn Logic Group, and Wesleyan University.

Society for the Study of the History of Analytical Philosophy

Annual Conference

jointly organized by UConn & Wesleyan University

at the UConn Graduate Business Learning Center, Hartford, and Wesleyan University, Middletown

Conference Program and details:

http://sshap.org/

Registration:

https://secure.touchnet.com/C21646_ustores/web/store_main.jsp?STOREID=296

We are grateful for the support of the UConn College of Liberal Arts and Sciences, the UConn Office of the Vice President for Research, the UConn Philosophy Department, the UConn Logic Group, and Wesleyan University.

One of the key mathematical developments that led to Einstein’s wildly successful theory of general relativity was the advent of Riemannian geometry in the 19^th century. Indeed, spacetime is modeled in general relativity as a four-dimensional curved manifold. It is for this, as well as a myriad of other reasons, that mathematicians have fallen in love with manifolds over the last century. A manifold is a (topological) space that locally ​”looks like” an open set in some Euclidean space. You will have seen an example of manifolds before in calculus, as surfaces embedded in three-dimensional space. For mathematicians, we like to have a framework for working on these spaces without any reference to the ambient space that it lives in. This is the aspect of differential geometry that makes it a challenging subject to learn. On the other hand, manifolds are nearly ubiquitous in research level mathematics, and gaining some understanding of them at an early stage will surely be useful. We will go over some differential geometry basics and (hopefully) discuss two types of manifolds, Riemannian and sub-Riemannian. 

Society for the Study of the History of Analytical Philosophy

Annual Conference

jointly organized by UConn & Wesleyan University

at the UConn Graduate Business Learning Center, Hartford, and Wesleyan University, Middletown

Conference Program and details:

http://sshap.org/

Registration:

https://secure.touchnet.com/C21646_ustores/web/store_main.jsp?STOREID=296

We are grateful for the support of the UConn College of Liberal Arts and Sciences, the UConn Office of the Vice President for Research, the UConn Philosophy Department, the UConn Logic Group, and Wesleyan University.