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UID:news637@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190314T120420
DTSTART;TZID=Europe/Zurich:20190319T103000
SUMMARY:Seminar Algebra and Geometry: Mirko Mauri (Imperial College London)
DESCRIPTION:The geometric P=W conjecture is a conjectural description of th
 e asymptotic behavior of a celebrated correspondence in non-abelian Hodge
  theory. In particular\, it is expected that the dual boundary complex 
 of the compactification of character varieties is a sphere. In a joint wo
 rk with Enrica Mazzon and Matthew Stevenson\, we manage to compute the fi
 rst non-trivial examples of dual complexes in the compact case. This requ
 ires to develop a new theory of essential skeletons over a trivially-value
 d field. As a byproduct\, inspired by these constructions\, we show that
  certain character varieties appear in degenerations of compact hyper-Kä
 hler manifolds.  In this talk we will explain how these new non-archime
 dean techniques can shed new light into classical algebraic geometry prob
 lems. 
X-ALT-DESC:The geometric P=W conjecture is a conjectural description of the
  asymptotic behavior of a celebrated correspondence in non-abelian Hodge&n
 bsp\;theory. In particular\, it is expected&nbsp\;that the dual boundary&n
 bsp\;complex of the compactification of character varieties&nbsp\;is a sph
 ere. In a joint work with Enrica Mazzon and Matthew Stevenson\, we manage 
 to compute&nbsp\;the first non-trivial&nbsp\;examples of dual complexes in
  the compact case. This requires to develop a new theory of essential skel
 etons over a trivially-valued field.&nbsp\;As a byproduct\, inspired by th
 ese constructions\, we show&nbsp\;that certain character varieties appear 
 in&nbsp\;degenerations of compact hyper-Kähler manifolds.&nbsp\;&nbsp\;In
  this talk we will explain how these new&nbsp\;non-archimedean techniques&
 nbsp\;can shed new light into classical algebraic geometry problems.&nbsp\
 ;
DTEND;TZID=Europe/Zurich:20190319T120000
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