**Title:** Characteristic Numbers For Surfaces

**Speaker:** Professor Izzet Coskun

**Speaker Info:** Harvard University

**Brief Description:**

**Abstract:**

In the 1990s inspired by the work of Kontsevich, many mathematicians provided recursive formulae for the number of curves in projective space incident to linear spaces. Finding these numbers, usually refered to as characteristic numbers, have motivated many of the developments in algebraic geometry and intersection theory since the work of 19th century masters Schubert and Zeuthen.After briefly recalling the methods used in the curve case, I will describe recent work on finding the characteristic numbers of surfaces using degeneration methods. As a consequence of the enumerative geometry of surfaces, I will give an algorithm for computing certain Gromov-Witten invariants of Grassmannians.

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