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DTSTART:20070311T020000
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DTSTAMP:20230902T182002
DTSTART;TZID=America/Detroit:20230913T160000
DTEND;TZID=America/Detroit:20230913T173000
SUMMARY:Workshop / Seminar:Algebraic geometry seminar: Nonexistence of exceptional bundles on P^3 with maximal possible ranks
DESCRIPTION:Vector bundles E with Hom*(E\, E)=C are called exceptional\, and they play an important role in the study of derived categories and stable sheaves. Unlike P^1 and P^2\, classifying exceptional bundles on P^3 is a challenging problem. In this talk we introduce new techniques to approach this problem\, by studying stable spherical bundles on quartic surfaces. We show the first nonexistence results: there is no exceptional bundle on P^3 with degree d and maximal possible rank 2d^2+1 when |d|>3. We will also discuss many future developments on this program.
UID:111316-21826712@events.umich.edu
URL:https://events.umich.edu/event/111316
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:East Hall - 4096
CONTACT:
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