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SUMMARY:Alastair Craw (Bath)
DTSTART:20211014T100000Z
DTEND:20211014T110000Z
DTSTAMP:20260423T024805Z
UID:notts_ag/84
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/84/
 ">Hyperpolygon spaces: beyond the movable cone</a>\nby Alastair Craw (Bath
 ) as part of Online Nottingham algebraic geometry seminar\n\n\nAbstract\nF
 or $n\\geq 4$\, the hyperpolygon spaces are a collection of Nakajima quive
 r varieties in dimension $2n-6$ that have been a useful testing ground for
  conjectures on conical symplectic varieties. I'll describe joint work in 
 progress with Gwyn Bellamy\, Steven Rayan\, Travis Schedler and Hartmut We
 iss in which we describe completely the birational geometry of these space
 s. The case $n=5$ recovers a well-known finite quotient singularity in dim
 ension four\, and allows us to provide a uniform construction of all 81 pr
 ojective crepant resolutions studied in previous work of Donten-Bury--Wi\\
 '{s}niewski. I'll also explain the title of the talk by giving a geometric
  interpretation of the components of the stability parameter even when it 
 doesn't lie in the positive orthant.\n
LOCATION:https://researchseminars.org/talk/notts_ag/84/
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