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VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:Harvard–MIT Algebraic Geometry Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20261009T194409Z
UID:tag:localist.com\,2008:EventInstance_49542335376628
DTSTART:20250506T190000Z
DTEND:20250506T200000Z
DESCRIPTION:Speaker: Ben Bakker (UIC)\n\nTitle: The linear Shafarevich conj
 ecture for quasiprojective varieties (part 2)\n\nAbstract:\n\nShafarevich 
 asked whether the universal cover of a smooth projective variety X is alwa
 ys holomorphically convex\, meaning it admits a proper map to a Stein spac
 e. This was proven in the linear case---namely when X admits an almost fai
 thful representation of its fundamental group---by Eyssidieux--Katzarkov--
 Pantev--Ramachandran using techniques from non-abelian Hodge theory. In jo
 int work with Y. Brunebarbe and J. Tsimerman\, we prove a version of the l
 inear Shafarevich conjecture for quasiprojective varieties. The proof reli
 es on a number of recent advances in non-abelian Hodge theory in the non-p
 roper case.\n\nIn the first talk I will outline the general strategy and e
 xplain why non-abelian Hodge theory naturally shows up in the context of S
 hafarevich's question. In the second talk I will provide some details of t
 he proof\, including the role played by the twistor geometry of the stack 
 of local systems and the algebraic integrability of Katzarkov--Zuo foliati
 ons. As a bonus\, I will also explain how these techniques prove the algeb
 raicity of Shafarevich morphisms\, which generalizes Griffiths' conjecture
  on the algebraicity of the images of period maps to arbitrary local syste
 ms.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 131
SUMMARY:Harvard–MIT Algebraic Geometry Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/copy-of-harvardmit-algebraic-g
 eometry-seminar-5754
CATEGORIES:Conferences/Seminars/Lectures
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