Given a complex projective manifold, it is very difficult todetect in the Kähler cone which classes admit a Kähler metric withconstant scalar curvature. Fix a Kähler class $\alpha$ with such aspecial Kähler metric, one can ask if it is easier to describeexplicitly a neighborhood V of $\alpha$, such that for all $\beta$ inV, the Kähler class $\beta$ admits a Kähler metric with constantscalar curvature. Of course, one can ask what is the largest possibleneighborhood V ? Under certain conditions, a partial answer to thesequestions can be given by studying Donaldson's Jflow that I willpresent. This flow also appears in mirror symmetry. I will explainthat if the behavior of this flow is still unclear, its finitedimensional analogue can be well understood thanks to geometricquantization. This is joint works with R. Dervan and Y. Hashimoto.
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About the Jflow
Research Group:
Julien Keller
Institution:
Marseille
Location:
A136
Schedule:
Wednesday, October 25, 2017  16:00
Abstract:
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Upcoming events

Giulia Meglioli
Comparison of model order reduction approaches in parametrized optimal control problems
Wednesday, January 24, 2018  15:00

Francesco Solombrino
Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach
Wednesday, January 24, 2018  16:00

Céline Maistret
Parity of ranks of abelian surfaces
Thursday, February 1, 2018  14:00

Marco Barchiesi
Cohesive behaviour arising in homogenization of MumfordShah type functionals
Tuesday, February 6, 2018  14:30
Recent publications

G. Cotti; B. Dubrovin; D. Guzzetti,Local moduli of semisimple Fro...

M. Gallone; A. Michelangeli; A. Ottolini,KreinVisikBirman selfadjoin...

D. Devaud; G. Rozza,Certified Reduced Basis Metho...

M. Gallone; A. Michelangeli,Selfadjoint realisations of t...