Prof. Vasudevan Srinivas (Mumbai, India / Berlin)

Abstract: Let X = Spec A be an irreducible affine variety of dimension d over an algebraically closed field k, so that the coordinate ring A of algebraic functions on X is a finitely generated k-algebra which is an integral domain of Krull dimension d. A point x of X is called a complete intersection point if the corresponding maximal ideal M_x of A is generated by d elements
f₁, _...,f_d. Geometrically, this means that x is a non-singular point of X, the hypersurfaces H_i in X defined by f_i = 0 intersect only in the point x, and this intersection is transverse.

We are interested in characterizing affine varieties such that all non-singular points are complete intersections. This problem turns out to have different flavours, depending on the ground field, and is related to interesting conjectures in the theory of algebraic cycles, and thereby to algebraic K-theory.

Tee/Kaffee/Gebäck

ab  16:45 Uhr,

Arnimallee 3,  Raum 006

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Koordinator:  Prof. Dr. Alexander Schmitt

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