Geometry Seminar

DATE2023-03-07 16:10-17:00

PLACE數學系館 3F會議室

SPEAKER莊武諺 教授(國立台灣大學數學系

TITLEQuantum Riemann-Hilbert Problems from Refined Donaldson-Thomas Theory

ABSTRACT A BPS structure was first introduced to describe the Donaldson-Thomas theory on CY threefolds with stability conditions. For a variation of BPS structures, a class of Riemann-Hilbert problems was proposed by Bridgeland. In this talk I will introduce its generalization, the quantum Riemann-Hilbert problems from refined Doanlson-Thomas theory, and present an explicit solution to the quantum Riemann-Hilbert problems on the resolved conifold, in terms of multiple sine functions with unequal parameters.