Workshops

The geometry of critical points of Green functions on a torus

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Workshops

Chang-Shou Lin

2013-10-25
11:30:00 - 12:20:00

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The location of blowup points of a sequence of solutions to semilinear equations (say, mean field equation) usually satisfies some equation related to Green functions. Indeed, the equation could be viewed as an equation for critical points of Green function in a product space of original underlying space (say a torus). In this lecture, we will discuss the nature (minimum points, saddle points, degeneracy or non-degeneracy etc.) of critical points and its relation to the mean field equations.