[Turkmath:7316] Fwd: Re: Visit in December

[Safak Alpay]

Degerli liste uyeleri

Bildiginiz gibi Cahit hoca 100 yasinda, Arf Konferanslari da 10. Bu  
seneki konusmaci John Morgan. Gelin birlikte Cahit Hoca'nin 100 yasini  
beraber kutlayalım. saygilarimla safak alpay

Title for Arf Talk:
The Topology of 3-dimensional manifolds.

Abstract:
Poincar\'e launched the subject of 3-dimensional topology in 1904. At  
the end of a long treatise on
3-manifolds he asked what became known as the Poincar\'e Conjecture:  
Is every simply connected $3$-manifold
homeomorphic to the $3$-sphere. This problem sparked a century of work  
on manifolds of dimensions $3$ and higher, work that made topology one  
of the most dynamic and exciting areas of mathematics during the 20th  
century. But in spite of all this work, at the end of the 20th century  
the Poincar\'e Conjecture still stood unresolved. Then in 2002 and  
2003, Grigory Perelman put a series of 3 preprints on the archive that  
completely resolved this conjecture and the more general conjecture,  
due to Thurston, about the structure of all 3-manifolds. His approach  
was to use work of Richard Hamilton concerning what is called the  
Ricci flow. This is a parabolic evolution equation for a Riemannian  
metric on a manifold. In this talk we will review the motivating  
questions and the Ricci flow. After giving this background we will  
then sketch Perelman's method of solution.



John W. Morgan
Director, Simons Center for Geometry and Physics
Stony Brook University
Stony Brook, NY 11794-3636
631-632-8298




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