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SUMMARY:Sebastian Torres (University of Massachusetts)
DTSTART:20210511T180000Z
DTEND:20210511T190000Z
DTSTAMP:20260423T023940Z
UID:AG-Davis/29
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AG-Davis/29/
 ">Bott vanishing using GIT and quantization</a>\nby Sebastian Torres (Univ
 ersity of Massachusetts) as part of UC Davis algebraic geometry seminar\n\
 n\nAbstract\nA smooth projective variety is said to satisfy Bott vanishing
  if\n$\\Omega^j\\otimes L$ has no higher cohomology for every $j$ and ever
 y ample\nline bundle $L$. This is a very restrictive property\, and there 
 are few\nnon-toric examples known to satisfy it. I will present a new clas
 s of\nexamples obtained as smooth GIT quotients of $(\\mathbb{P}^1)^n$. Fo
 r this\,\nI will need to use the work by Teleman and Halpern-Leistner abou
 t the\nderived category of a GIT quotient\, and explain how this allows us
 \, in\nsome cases\, to compute cohomologies directly in an ambient quotien
 t stack.\n
LOCATION:https://researchseminars.org/talk/AG-Davis/29/
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