Richard P. Stanley Seminar in Combinatorics: Derived categories of the permutahedra varieties


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April 3, 2024 4:15 pm - 5:15 pm
Science Center 232

Mario Sanchez - Cornell

The derived category of a variety is an important and difficult invariant. In this talk, I discuss a purely convex-geometric and combinatorial approach to these categories for toric varieties. Along the way, we will run into the curious question of studying the contractibility of set differences of polytopes. I will focus on the toric variety of the permutahedron which has played an important role in many recent developments in matroid theory. I will discuss how this derived category can be described through the theory of matroids.


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