AbstractIn the second of two lectures,l am going to draw people's attention to the`geometry of syzygies". We begin with a research problem from geometry: Findingall Gorenstein Calabi-Yau varieties. In dimension 3 cases, their coordinate rings have regularity 4.There are 16 Betti diagrams for such graded Gorenstein algebras with projective dimension 4. Byapolarity, they correspond to degree 4 fo...
AbstractLet A be an arbitrary associative algebra. With the help of Olshanski’s centralizer construction one can define a sequence Y_1(A), Y_2(A),... of "Yangian-type algebras" (they possess a number of properties of the Yangians of series A). I will discuss a link between these Yangian-type algebras and a class of double Poisson brackets on free associative algebras. The talk is based on the ...