IGAP COMPLEX DIFFERENTIAL GEOMETRY SEMINAR - Wednesday 23 November, at 14:00 (Sohaib Khalid)

[ICTP Math Section]

_IGAP COMPLEX DIFFERENTIAL GEOMETRY SEMINAR_

Wednesday, 23 November, at 14:00

Venue: IGAP Lecture room (old SISSA building, Via Beirut 2)

https://www.igap-ts.it/


Speaker: Sohaib Khalid (SISSA)

Title: _The Z-critical equation on surfaces_

_Abstract:_ Abstract: Introduced by Dervan-McCarthy-Sektnan, the 
Z-critical equations are conjectural complex differential-geometric 
analogues of Bridgeland stability conditions, and seek to strengthen the 
classical Hitchin-Kobayashi correspondence: a holomorphic vector bundle 
over a smooth projective variety is slope polystable if and only if it 
admits a Hermite-Einstein metric. In this talk, I will briefly discuss 
the motivation and setting of the Z-critical equations, before 
specialising to the case of line bundles on projective surfaces. In this 
special case, I will attempt to explain how certain facts from the 
classical geometry of surfaces give a PDE analogue of a wall-and-chamber 
decomposition. This is joint work with Sjöström-Dyrefelt.

https://indico.ictp.it/event/10135/

All are welcome to attend
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-- 

Koutou Mabilo
ICTP Mathematics Group
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