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SUMMARY:Daniel Kaplan (Birmingham)
DTSTART:20201015T120000Z
DTEND:20201015T130000Z
DTSTAMP:20260423T041351Z
UID:notts_ag/30
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/30/
 ">Exceptional collections for invertible polynomials using VGIT</a>\nby Da
 niel Kaplan (Birmingham) as part of Online Nottingham algebraic geometry s
 eminar\n\n\nAbstract\nA sum of n monomials in n variables is said to be in
 vertible if it is quasi-homogeneous and quasi-smooth (i.e. it has a unique
  singularity at the origin). To an invertible polynomial w\, one can assoc
 iate a maximal symmetry group\, and consider the derived category of equiv
 ariant matrix factorizations of w. Joint with David Favero and Tyler Kelly
 \, we prove this category has a full exceptional collection\, using a vari
 ation of GIT result of Ballard—Favero—Katzarkov. Our proof additionall
 y utilizes the Kreuzer-Skarke classification of invertible polynomials as 
 Thom—Sebastiani sums of Fermat\, chain\, and loop polynomials. I’ll pr
 esent a friendly\, example-oriented illustration of our approach\, review 
 related literature\, and discuss applications to mirror symmetry.\n
LOCATION:https://researchseminars.org/talk/notts_ag/30/
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