REMINDER - ICTP Math Associates Seminar (Zoom Meeting) - TOMORROw Thursday 08 October at 16:00 (José Cisneros-Molina)

ICTP Math Section math at
Wed Oct 7 08:44:45 CEST 2020

Math Associates Seminar

Thursday 08 October 2020, at 16:00, Central European Time

Please register in advance for this meeting:
After registering, you will receive a confirmation email containing 
information about joining the meeting.

Speaker: José Cisneros-Molina (UNAM, Mexico)

Title: Exotic Spheres and Singularities

Milnor's fibration theorem is a landmark in singularity theory, it 
allows to deepen the study of the geometry and topology of analytic maps 
near their critical points. To each singular point of a complex 
hypersurface it associates a fibre bundle, known as the Milnor Fibration 
of the singularity.
The birth of Milnor's Fibration Theorem is a curious story, since its 
origin is not in Singularity Theory. It begins with the discovery by 
Milnor in 1956 of the first exotic spheres": smooth 7-manifolds 
homeomorphic to the standard 7-sphere, but with non-equivalent 
differentiable structures. Later, work of some great  mathematicians 
like Brieskorn, Jänich, Hirzebruch and Pham, led to the discovery of 
some examples of complex hypersurface singularities whose links are 
exotic spheres. This motivated Milnor to determine when the link of a 
complex hypersurface singularity is a homotopy sphere, culminating in 
his now famous book "Singular points of complex hypersurfaces". One of 
the main results in this book is precisely Milnor's Fibration Theorem.
The aim of this non-technical talk is to tell this interesting story.

More information about the science-ts mailing list