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SUMMARY:Log schemes\, root stacks and parabolic bundle - Nicolo Sibilla\, 
 University of Kent
DTSTART:20180124T141500Z
DTEND:20180124T151500Z
UID:TALK95074@talks.cam.ac.uk
CONTACT:Mark Gross
DESCRIPTION:Log schemes are an enlargement of the category of schemes that
  was\nintroduced by Deligne\, Faltings\, Illlusie and Kato\, and has appli
 cations to\nmoduli theory and deformation problems. Log schemes play a cen
 tral role in\nthe Gross-Siebert program in mirror symmetry. In this talk I
  will introduce\nlog schemes and then explain recent work joint with D. Ca
 rchedi\, S.\nScherotzke\, and M. Talpo on various aspects of their geometr
 y. I will\ndiscuss a comparison result between two different ways of assoc
 iating to a\nlog scheme its etale homotopy type\, respectively via root st
 acks and the\nKato-Nakayama space. Our main result is a  new categorified 
 excision result\nfor parabolic sheaves\, which relies on the technology of
  root stacks.\n
LOCATION:CMS MR13
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