Fwd: Upcoming IGAP Complex Differential Geometry Seminars

[ICTP Math Section]

-------- Forwarded Message --------
Subject: 	Upcoming IGAP Complex Differential Geometry Seminars
Date: 	Mon, 29 Jan 2024 14:54:10 +0000
From: 	Silke Rosemarie Pranzetti <spranzet at sissa.it>
To: 	SISSA HE seminars <he-sem at lists.sissa.it>, ICTP HE seminars 
<he-sem at lists.ictp.it>, math-users at lists.sissa.it 
<math-users at lists.sissa.it>, math <math at ictp.it>
CC: 	IGAP Secretariat <igap-secretariat at sissa.it>



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IGAP Complex Differential Geometry Seminar
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Thursday 01 February 15:00 - 16:00 room 205, 1st floor in the IGAP/ IFPU 
building <https://www.igap-ts.it/ifpuigap-rooms/>.

Sohaib Khalid (SISSA)
Title: Semipositive line bundles and (1,1)-classes (part 2)
Abstract: We will continue our study group starting from the survey 
https://arxiv.org/abs/2309.00580 <https://arxiv.org/abs/2309.00580>

Thursday 08 February 15:00 - 16:00 room 205: 1st floor in the IGAP/ IFPU 
building <https://www.igap-ts.it/ifpuigap-rooms/>.

Michael Hallam (Aarhus)
Title: Weighted extremal metrics and stability
Abstract: Weighted extremal metrics, introduced by Lahdili, provide a 
vast and convenient generalisation of ordinary extremal Kähler metrics, 
and encompass many well-known examples of canonical metrics such as 
Kähler--Ricci solitons and extremal Sasaki metrics. Generalising work of 
Arezzo--Pacard--Singer and Székelyhidi, we show that the blowup of a 
weighted extremal manifold at a relatively stable point admits weighted 
extremal metrics in classes making the exceptional divisor small. In the 
vein of Stoppa--Székelyhidi, we then use this existence result to prove 
that manifolds with weighted cscK metrics are weighted K-polystable, 
sharpening the already known weighted K-semistability proven by Lahdili 
and Inoue.

-- 
Koutou Mabilo
ICTP Mathematics Group
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