Algebraic & Geometry Seminar: The stability of normal bundles of curves

Speaker: Izzet Coskun, University of Illinois Chicago

Abstract:  Given a smooth projective curve X, there are several naturally defined vector bundles on X such as the normal bundle of X or the restriction of the tangent bundle of projective space to X. Similarly given a branched covering of curves $f: Y \to X$, there are several natural vector bundles such as the Tschirnhausen bundle on X associated with the covering. In this talk, I will discuss the stability of normal bundles of Brill-Noether curves and Tschirnhausen bundles. The talk is based on joint work with Eric Larson, Isabel Vogt and Geoffrey Smith.


Host: Roya Beheshti