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
 Public calls for academic personnel (Permanent positions)
 Professors (Temporary/Researchers/Visiting Professors)
 SISSA Mathematical Fellowships
 Post Doctoral Fellowships
 PhD Scholarships
 Call for Applications (PhD)
 Undergraduate Fellowships
 Postgraduate Fellowships
 Master of Science in Mathematics
 Marie SklodowskaCurie Grants
Upcoming events

Jacopo Bassi
PhD exam
Monday, April 23, 2018  11:00

Adam Skalski
Translation invariant Dirichlet forms in the context of locally compact quantum groups
Monday, April 23, 2018  14:15 to 15:15

Yash Jhaveri
On the (in)stability of the identity map in optimal transportation
Tuesday, April 24, 2018  14:30

Mikhail Sychev
Lower semicontinuity and relaxation for extendedvalued integrands
Tuesday, April 24, 2018  16:00
Recent publications

G. Dal Maso; C.J. Larsen; R. Toader,Existence for elastodynamic Gr...

F. Cagnetti; G. Dal Maso; L. Scardia; C.I. Zeppieri,Stochastic homogenisation of f...

A. Michelangeli; P.Thanh Nam; A. Olgiati,Ground state energy of mixture...

A. Michelangeli; A. Olgiati,Effective nonlinear spinor dy...