Jordan Blocks of the Quantum Monodromy

Thu Apr 17, 2025 4:30 p.m.—5:30 p.m.
Exterior of Sheffield-Sterling-Strathcona Hall featuring a stone carving of Yale's coat of arms and motto

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Seminar: 
Quantum Topology and Field Theory

Event time: 
Thursday, April 17, 2025 - 4:30pm

Location: 
KT 801

Speaker: 
Daniel Pomerleano

Speaker affiliation: 
University of Massachusetts, Boston

Event description: 
The small quantum connection of a Fano variety is among the most accessible and fundamental objects in enumerative geometry. In this talk, I’ll survey recent results on the structure of the quantum connection, with an emphasis on bounds for the sizes of Jordan blocks of the “regularized monodromy”. These bounds can be viewed as mirror analogues of classical results by Borel, Katz, and Varchenko concerning the Jordan blocks of monodromy for Gauss–Manin connections associated to families of varieties. This is joint work—partially in progress—with P. Seidel.