Convexity in divisor theory

Convexity in divisor theory

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Brian Lehmann , Boston College
Fine Hall 322

For toric varieties there is a dictionary relating the geometry of divisors to the theory of polytopes. I will discuss how certain aspects of this dictionary can be extended to divisors on arbitrary smooth projective varieties. These results build upon ideas of Khovanskii and Teissier; as in their work, geometric inequalities and convexity theory play an important role. This is joint work with Jian Xiao.