PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Ping Xu, Mari Royer, Nigel Higson, Mathieu Stienon.

Title:PERMUTATIONS AND IRREDUCIBLE FEYNMAN DIAGRAMS
Seminar:GAP Seminar
Speaker:Adrian Ocneanu, Penn State
Abstract:
We describe a new internal structure of a permutation, a canonical forest structure, in which the nodes of trees consist of a special class of permutations, which we called primitive. Primitive permutations are encoding naturally a basic structure in perturbative Quantum Field Theory, the irreducible (2-connected) fermionic line Feynman diagrams, for which no combinatorial construction existed before. An algorithm shows that such Feynman diagrams live naturally on the graph of the permutation. The algorithms provide new constructions and generating functions for a family unifying the treatment of derangements and Eulerian

Room Reservation Information

Room Number:MB106
Date:10 / 22 / 2013
Time:02:30pm - 03:30pm