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SUMMARY:Superheavy subsets from singular divisors - Elliot Gathercole\, Un
 iversity of Lancaster
DTSTART:20260313T160000Z
DTEND:20260313T170000Z
UID:TALK242944@talks.cam.ac.uk
CONTACT:Adrian Dawid
DESCRIPTION:A complex Fano projective variety M (for example\, projective 
 space) is canonically a monotone symplectic manifold. Given an effective a
 nticanonical divisor D\, we obtain a distinguished (and symplectically\, v
 ery special) subset L\, the skeleton\, onto which the complement M-D retra
 cts\, and an increasing family of compact neighbourhoods of L which exhaus
 t M-D.\nIn a symplectic manifold\, we can ask if a subset is rigid: that i
 s\, can it be displaced from itself by a Hamiltonian isotopy? In the above
  setting\, we can ask a quantitative refinement of this question: what is 
 the smallest neighbourhood of L in our family which is rigid in M?\nI will
  discuss a variation of this question involving spectral invariants\, and 
 how it can be answered for kinds of singular (i.e. possibly not SNC) divis
 ors D\, and how this answer depends on properties of D\, and give some exa
 mples of interesting rigid isotropic cell complexes L obtained in this man
 ner.
LOCATION:MR13
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