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SUMMARY:Sebastián Torres (UMass Amherst)
DTSTART:20200928T200000Z
DTEND:20200928T210000Z
DTSTAMP:20260423T052708Z
UID:AGSAGS/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGSAGS/3/">B
 ott vanishing using GIT and quantization</a>\nby Sebastián Torres (UMass 
 Amherst) as part of American Graduate Student Algebraic Geometry Seminar\n
 \n\nAbstract\nA smooth projective variety is said to satisfy Bott vanishin
 g if $\\Omega^j\\otimes L$ has no higher cohomology for every $j$ and ever
 y ample line bundle $L$. This is a very restrictive property\, and there a
 re few non-toric examples known to satisfy it. I will present a new class 
 of examples obtained as smooth GIT quotients of $(\\mathbb{P}^{1})^n$. For
  this\, I will need to use the work by Teleman and Halpern-Leistner about 
 the derived category of a GIT quotient\, and explain how this allows us\, 
 in some cases\, to compute cohomologies directly in an ambient quotient st
 ack.\n
LOCATION:https://researchseminars.org/talk/AGSAGS/3/
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