Back to Algebraic Geometry Seminar: Spring 2024
Algebraic Geometry Seminar
Date: Tuesday, Apr 16, 2024
Time: 3:30PM - 4:30PM
Location: LCB 222
Aaron Bertram and Alicia Lamarche
Title |
How to count to n! (and other Weyl groups) |
Abstract |
The list of projective varieties known to have full strong exceptional collections of coherent sheaves is quite short. There is projective space and a few other homogeneous spaces and toric varieties. One example is the toric variety associated to the “permutahedron,” which Castravet and Tevelev studied because of its proximity to the moduli space of pointed rational curves. Since the sum of the betti numbers of this toric variety is n!, Castravet-Tevelev find a new way to count to n! that is intriguing, and which Alicia and I have been modifying to work in the B_n case in which the permutahedron is replaced with the signed permutahedron. |
Algebraic Geometry