Residue of meromorphic functions with linear poles

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Mathieu Stiénon, Nigel Higson.

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: 106 McAllister

Date: 09/23/2014

Time: 2:30pm - 3:30pm