Discriminants and semi-orthogonal decompositions

2 PM, 3 Jul 2025

Ed Segal from UCL will talk about semi-orthogonal decompositions of derived categories of toric varieties, coming from wall-crossing in GIT.

Dr Ed Segal of UCL discusses derived equivalences and autoequivalences arising from wall-crossing phenomena on Calabi-Yau toric varieties. Mirror symmetry relates these to monodromy around the Gelfand–Kapranov–Zelevinsky's discriminant locus. He conjectures that intersection multiplicities in the discriminant equal the multiplicities appearing in semi-orthogonal decompositions, proving the conjecture in some cases.

Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions
Discriminants and semi-orthogonal decompositions