On fixed singularities in exact WKB analysis of higher order equations
Speaker:
Shinji Sasaki, University of Toronto
Date and Time:
Thursday, October 12, 2017 - 11:10am to 1:00pm
Location:
Fields Institute, Room 210
Abstract:
In exact WKB analysis, we apply Borel resummation to WKB solutions (formal solutions to differential equations with a small papameter). Borel transformed solutions have, in general, two kinds of singularities: movable singularities and fixed singularities. For second order equations, both have been analysed a great deal. But for higher order equations, it seems that especially fixed singularities have not been investigated enough. In this talk, we are going to discuss fixed singularities in higher order equations through some examples.