Positivity theorems for hyperplane arrangements via intersection theory

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• Nicholas Proudfoot, University of Oregon
• Wednesday 19 March 2025, 14:15-15:15
• CMS MR13.

If you have a question about this talk, please contact Dhruv Ranganathan.

I will discuss three recent combinatorial theorems about hyperplane arrangements: the top-heavy conjecture, log concavity of the characteristic polynomial, and non-negativity of the Kazhdan-Lusztig polynomial. Each of these results is proved by studying the cohomology of a projective algebraic variety associated with the arrangement.

This talk is part of the Algebraic Geometry Seminar series.

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