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

Kiyokazu Nagatomo
Modular linear differential equations
Tuesday, October 23, 2018  16:00

Lenka Zdeborova
Statistical physics of generalized linear regression.
Wednesday, October 24, 2018  10:00 to 11:00

Florent Krzakala
From message passing to spectral algorithms.
Wednesday, October 24, 2018  11:00 to 12:00

Prof
Andrea Cangiani
Numerical PDEs with general meshes and adaptivity
Wednesday, October 24, 2018  16:00 to 17:00
Today's Lectures

Andrei Agrachev
09:00 to 11:00

Jacopo Stoppa
11:00 to 13:00

Xiao Han
15:30 to 17:30
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