PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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

Title:Residue of meromorphic functions with linear poles
Seminar:GAP Seminar
Speaker:Bin Zhang, Sichuan University
Abstract:
Germs of meromorphic fractions with linear poles at zero arise naturally in various contexts. We provide a decomposition of the algebra of such germs into the holomorphic part and its linear complement by means of an inner product using our results on cones and pure fractions in an essential way. Using this decomposition we define a residue on germs of meromorphic fractions with linear poles at zero and prove that it is independent of the chosen inner product. Furthermore, if restricted to cones, this residue gives a valuation.

Room Reservation Information

Room Number:MB106
Date:09 / 23 / 2014
Time:02:30pm - 03:30pm