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UID:news778@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20190212T180831
DTSTART;TZID=Europe/Zurich:20110516T160000
SUMMARY:Seminar Algebra and Geometry: Aldo Conca (University of Genova)
DESCRIPTION:The goal of the talk is to explain recent results and conjectur
 es  regarding Koszul algebras and their syzygies. Koszul algebras are   g
 raded K-algebras R such that the residue filed K has a  linear R-free  res
 olution. Koszul algebras are defined by quadrics.  But not all  algebras 
 defined by quadric are Koszul. However  many classical algebras  defined b
 y quadrics  (e.g. the coordinate ring  of the Grassmannian in  its standa
 rd embedding)  are Koszul.The main  idea I will discuss is  that  the sy
 zygies of Koszul algebras have some  properties in common  with the syzygi
 es of algebras defined by monomialsof degree two.
X-ALT-DESC: The goal of the talk is to explain recent results and conjectur
 es  regarding Koszul algebras and their syzygies. Koszul algebras are&nbsp
 \;  graded K-algebras R such that the residue filed K has a  linear R-free
   resolution. Koszul algebras are defined by quadrics.&nbsp\; But not all 
  algebras defined by quadric are Koszul. However  many classical algebras 
  defined by quadrics&nbsp\; (e.g. the coordinate ring  of the Grassmannian
  in  its standard embedding)&nbsp\; are Koszul.<br />The main  idea I will
  discuss is  that&nbsp\; the syzygies of Koszul algebras have some  proper
 ties in common  with the syzygies of algebras defined by monomials<br />of
  degree two.
DTEND;TZID=Europe/Zurich:20110516T170000
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