Kaehler Geometry Afternoon - Tuesday 30 July, at 14:00

[ICTP Math Section]

Kähler Geometry Afternoon


Tuesday 30 July, at 14:00


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)


Speaker: SUN Jun (Wuhan University)

Title: Sphere theorems for submanifolds in Kahler manifold

Abstract: In this talk, we will first recall the previous results on 
topological and differentiable sphere theorems. Then we will talk about 
our recent results on sphere theorems for submanifolds in Kahler 
manifold. This is joint work with Linlin Sun.


Speaker: SHI Yalong (Nanjing University)

Title: Some collapsing estimates for normalized Kahler-Ricci flow

Abstract: I shall talk about my recent joint work with Wangjian Jian on 
the higher order estimates for a collapsing family of metrics on certain 
Kahler manifolds and for collapsing Calabi-Yau metrics.


Speaker: SJÖSTRÖM DYREFELT Zakarias (ICTP)

Title: Optimal lower bounds for Donaldson's J-functional

Abstract: We give an explicit formula for precisely how far Donaldson's 
J-functional is from being proper, and show that for surfaces the 
optimal lower bound is an explicitly computable rational function in the 
underlying Kähler class. We also discuss a number of applications to 
Calabi dream manifolds and an analogous notion for the J-equation, new 
sufficient criteria for existence of cscK metrics in terms of Tian's 
alpha invariant, and show existence of optimal degenerations for uniform 
J-stability on manifolds satisfying the Lejmi-Székelyhidi conjecture.

All are welcome to attend


-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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