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SUMMARY:Max Lieblich (University of Washington)
DTSTART:20220414T170000Z
DTEND:20220414T180000Z
DTSTAMP:20260423T035820Z
UID:ZAG/202
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/202/">In
 finite rank vector bundles and applications</a>\nby Max Lieblich (Universi
 ty of Washington) as part of ZAG (Zoom Algebraic Geometry) seminar\n\n\nAb
 stract\nThis is a report on joint work with Johan de Jong and Minseon Shin
 . Grothendieck famously asked whether the Brauer group and cohomological B
 rauer group of a scheme coincide\, a question which still lacks a good ans
 wer. Modern methods reduce this question to a question about the existence
  of non-zero vector bundles of finite rank on certain stacks. I will discu
 ss what happens if one allows vector bundles of infinite rank\, and how th
 is infinite-rank version of the question is related to the resolution prop
 erty for schemes. I will also discuss some basic questions about vector bu
 ndles of infinite rank on varieties\, including the potential existence of
  some mysterious invariants.\n
LOCATION:https://researchseminars.org/talk/ZAG/202/
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