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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:Holomorphic maps between projective spaces are maximally singular 
DTSTART:20160216T151500
DTEND:20160216T170000
DTSTAMP:20260506T111023Z
UID:eb63bebc5a6064db6a291ec86cdba28ce950a2448ff9ad1f16436912
CATEGORIES:Conferences - Seminars
DESCRIPTION:László M. Fehér (ELTE Budapest)\nThe topic of the talk is t
 he principle (singularity principle for short) expressed in the title. Thi
 s is joint work with András Némethi.\nIn the first part of the talk I ex
 plain the following variant:\nTheorem: Let $f:P^n\\to  P^{n+l}$ be a non-
 linear holomorphic map between projective spaces. Then for any s such that
  s(s+l)<n+1 there is a point in $P^n$\, where  the kernel of the differen
 tial $df_x$ is at least s dimensional.\nNotice that s(s+l) is the expected
  codimension of the degeneracy locus of such points.\nTo follow the first 
 part only some familiarity with the notion of Chern classes is necessary.\
 nIn the second part of the talk I talk about a generalization where we sho
 w that the degeneracy locus of  any contact singularity (with the conditi
 on that its expected dimension is non-negative) is not empty. We can prove
  this generalization in "almost all" cases\, and conjecture that it always
  holds. The proof relies on basic properties of equivariant cohomology and
  Thom polynomials.\nSome variants of the singularity principle are valid f
 or smooth maps between real projective spaces.
LOCATION:BI A0 448 https://plan.epfl.ch/?room==BI%20A0%20448
STATUS:CONFIRMED
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