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:
Openings
Upcoming events

Davide Barilari
Geometric interpolation inequalities: from Riemannian to subRiemannian geometry
Thursday, November 23, 2017  11:30

Francesco Boarotto
Bounds on the loss of regularity of timeoptimal trajectories of generic control affine systems
Thursday, November 23, 2017  15:00 to 16:30

Marta Strani
Transition from hyperbolicity to ellipticity in hyperbolic systems
Monday, November 27, 2017  14:30

Monica Ugaglia
Aristotle’s Hydrostatical nonMathematical Physics
Wednesday, November 29, 2017  16:00
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