Fwd: IGAP Complex differential geometry seminar 22 November - VENUE: IGAP/IFPU Building - Via Beirut 2

[ICTP Math Section]

-------- Forwarded Message --------
Subject: 	IGAP Complex differential geometry seminar 22 November
Date: 	Mon, 20 Nov 2023 08:15:28 +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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Complex Differential Geometry Seminar

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Room 205 on Wednesday, 22 November 15:00-17:00
IGAP Complex differential geometry seminar

organized by Jacopo Stoppa

Speaker: Yongsheng Zhang (Capital Normal University)

Title: Spiral Minimal Products

Abstract: We aim to introduce a structural strategy to produce new
minimal submanifolds in spheres based on two given ones. The method is 
to spin a pair of given minimal submanifolds by a curve 
$\gamma\subset\mathbb S^3$ in a balanced way and leads to resulting 
minimal submanifolds -- spiral minimal products, which form a 
two-dimensional family arising from intriguing pendulum phenomena 
decided by $C$ and $\tilde C$. With $C=0$, we generalize the 
construction of minimal tori in $\mathbb S^3$ explained in a paper by 
Brendle to higher dimensional situations. When $C=-1$,  we recapture 
previous relative work by Castro-Li-Urbano and Haskins-Kapouleas for 
special Legendrian submanifolds in spheres, and moreover, can gain 
numerous $\mathscrC$-totally real and totally real embedded minimal 
submanifolds in spheres and in complex projective spaces respectively. A 
key ingredient of the paper is to apply the beautiful extension result 
of minimal submanifolds by Harvey-Lawson for a rotational reflection
principle in our situation to establish $\gamma$.

The talk is based on a joint work with Prof. Haizhong Li.

https://indico.ictp.it/event/10591/

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Koutou Mabilo
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