Topološki seminar

lokacija: 
PMF Matematički odsjek
vrijeme: 
01.06.2017 - 16:00 - 17:30

U četvrtak, 1. lipnja u 16 sati u predavaonici 109 (PMF-MO) u okviru
Seminara za topologiju Loic Teyssier, Université de Strasbourg, održat
će predavanje

Topology of local holomorphic foliations.

Pozivaju se članovi seminara i svi zainteresirani da prisustvuju predavanju.

Abstract: In some respect, planar holomorphic foliations behave very much
like fibrations. Under some reasonnable generic hypothesis, Marin and Mattei
showed an analog result to Milnor's fibration theorem. In particular they
show
that the leaves are incompressible in a convenient basis of neighborhood of
an
isolated singularity. After recalling their construction, I'll present what
can go bad in the non-generic situation.
When the foliation is incompressible, all leaves can be uniformized
simultaneously and one can construct a monodromy mapping in the universal
covering. This mapping encodes important dynamical and galoisian properties
which I'll try to present.

Sonja Štimac

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