Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Augsburger Mathematisches Kolloquium

 

Dr. Ailsa Keating
University of Cambridge

 
spricht am
 
Dienstag, 19. Juni 2018
 
um
 
17:30 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»On two-variable singularities, planar graphs and generalised Artin groups«

Abstract:
Start with a two-variable complex polynomial $f$ with an isolated critical point at the origin. One can associate to it a smooth Riemann surface with boundary: the Milnor fiber of $f$, $M_f$, given by a smoothing of f near the origin. This comes equipped with a distinguished collection of $S^1$s on $M_f$, called vanishing cycles. We explain how an algorithm of A'Campo allows one to encode all of this information in a planar graph. Time allowing, we will explain how to associate a group to this graph, and discuss some of its representations. No prior knowledge of singularity theory will be assumed.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Maxim Smirnov
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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