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| Date: | Mon, September 30, 2013 |
| Time: | 11:15 |
| Place: | East Hall 8 |
Abstract: The infinite projective space X is the inductive limit of an infinite sequence of projective spaces of growing dimensions, each member of which lies as a linear subspace of the subsequent member. By a vector bundle on this ind-variety X we mean the projective limit of a sequence of vector bundles on the members of X such that the vector bundle on each member is a restriction of the bundle on the subsequent member. For example, the standard linear vector bundle OX(1) is well defined on X. The Tyurin-Sato theorem states that any vector bundle of finite rank on X is isomorphic to a direct sum of tensor powers of the bundle OX(1). In the talk we discuss the proof of this theorem.