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Universität Augsburg
Institut für Mathematik

Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

 

Augsburg Dynamics Days 2024

 

Professor Zhengyi Zhou
Chinese Academy of Science, Beijing

 
spricht am
 
Dienstag, 13. August 2024
 
um
 
16:15 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Kahler compactification of C^n and Reeb dynamics«

Abstract:
We will present two results in complex geometry: (1) A Kahler compactification of C^n with a smooth divisor complement must be P^n, which confirms a conjecture of Brenton and Morrow (1978) under the Kahler assumption; (2) Any complete asymptotically conical Calabi-Yau metric on C^3 with a smooth link must be flat, confirming a folklore conjecture regarding the recognition of the flat metric among Calabi-Yau metrics in dimension 3. Both proofs rely on relating the minimal discrepancy number of a Fano cone singularity to its Reeb dynamics of the conic contact form. This is a joint work with Chi Li.

For further information, please have a look at our homepage.


 

Hierzu ergeht herzliche Einladung.
PD Dr. Lei Zhao


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