**UM Math Graduate Student Seminar**

Michela di Marca

* University of Genova *

**will present**

**On the diameter of dual graphs of projective varieties**

Friday, February 12, 2016, 6:00pm

Ungar Building Room 506

**Abstract: **

The concept of dual graph of a projective variety can be studied both from a geometric and from an algebraic point of view, by considering the homogeneous ideal associated to the variety in a certain polynomial ring. I will focus on the second aspect and I will investigate some restrictions on the diameter of such graphs when we start from a coordinate ring with good properties. In particular, I will show an upper bound for the diameter based on the distribution of degrees on the irreducible components of the variety.

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