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
 Giovanni Bellettini Apparent contours and reconstruction of solid shapes Room: Luigi Stasi Seminar Room, ICTP

Monica Nonino
Reduced order methods for fluid structure interaction problems and reduction of the Kolmogorov nwidth
Friday, October 19, 2018  14:00

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

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

Antonio Lerario
11:00 to 13:00

Jacopo Stoppa
11:00 to 13:00

Gianni Dal Maso
14:00 to 16:00

Luca Heltai  Gianluigi Rozza
14:00 to 16:00

Enrico Arbarello (Sapienza)
14:00 to 16:00

Xiao Han
15:30 to 17:30

Alberto Sartori
16:00 to 18:00
Recent publications

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

M.W. Hess; A. Alla; A. Quaini; G. Rozza; M. Gunzburger,{ A Localized ReducedOrder Mo...

G. Dal Maso; G. Franzina; D. Zucco,Transmission conditions obtain...

S. Hijazi; S. Ali; G. Stabile; F. Ballarin; G. Rozza,{The Effort of Increasing Reyn...