Fachbereich Mathematik und Statistik
Prof. Dr. R. Denk, Prof. Dr. R. Racke, Prof. Dr. O. Schnürer
Im
Oberseminar Partielle Differentialgleichungen
gibt es am
Donnerstag, dem 23. Juni 2016,
einen Vortrag von
Prof. Dr. Luca Martinazzi
(Universität Basel, Schweiz)
”The fractional Liouville equation in dimension 1 - Geometry,
compactness and quantization“
Beginn: 15.15 Uhr
Raum: F426
Interessenten sind herzlich willkommen!
R. Denk, R. Racke, O. Schnürer
Abstract: I will introduce the fractional Liouville equation on the circle S 1 and its geometric interpretation in terms
of conformal immersions of the unit disk into the complex plane. Using this interpretation we can show that the
solutions of the fractional Liouville equation have very precise compactness properties (including quantization and
half-quantization) with a clear geometric counterpart. I will also compare these result to analogue ones for the
classical Liouville equation in dimension 2, used to prescribe the Gaussian and Q-curvature. This is a joint work
with Francesca Da Lio and Tristan Riviere.
(invited by Prof. Dr. Oliver Schnürer)

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