SMS scnews item created by Daniel Daners at Thu 19 Sep 2013 1309
Type: Seminar
Distribution: World
Expiry: 23 Sep 2013
Calendar1: 23 Sep 2013 1400-1500
CalLoc1: AGR Carslaw 829

PDE Seminar

Morse and Maslov Indices for Elliptic Boundary Value Problems


Robert Marangell
University of Sydney
Mon 23 Sep 2013 2-3pm, Carslaw 829 (AGR)


In this talk I will present the paper Multi-Dimensional Morse Index Theorems and a Symplectic view of Elliptic Boundary Value Problems by J. Deng and C.K.R.T. Jones (Trans. Amer. Math. Soc. v363 (2011) pp1487-1508). The paper discusses how symplectic geometry can be used to gain understanding of the structure of the solution space of a class of elliptic boundary value problems, and relates the multidimensional case to well-known results from the theory of Ordinary Differential Equations. If time, I will talk about my own efforts on extending this result, as well as some new unpublished advancements that have been brought to my attention.

Check also the PDE Seminar page. Enquiries to Florica CÓrstea or Daniel Daners.