Title: Correlators, graphs and cyclic operads (pre-talk)
Speaker: Ralph Kaufmann
Speaker Info: Purdue University
Brief Description:
Special Note:
Abstract:
Starting from graphs with additional data, we will construct multi-linear functions called correlation functions. In the presence of a duality for the underlying vector space these functions can be turned into operations, These operations and their concatenations neatly assemble into a larger structure called a cyclic operad. Moreover in certain situations, these operations can be lifted to a chain or even a geometric level. A good tool for this are CW complexes. If one is able to construct a suitable differential in the graph setting one can use it to construct a space roughly by assigning a cell to each graph, as we will explain.Date: Tuesday, February 17, 2009