Speaker: Valdo Tatitscheff (Heidelberg University)
Abstract: Fock–Goncharov theory provides remarkable coordinate systems on moduli spaces of local systems on surfaces. Crucially, these moduli spaces are examples of cluster varieties, which partly explains their appearance in the study of BPS states in four-dimensional quantum field theories with N=2 supersymmetry, particularly through the framework of spectral networks. Exponential networks generalize spectral networks to the setting of five-dimensional theories with eight supercharges. Since wall-crossing phenomena also occur in this context, one expects exponential networks to be related to some notion of cluster variety as well, though likely cluster integrable systems rather than moduli spaces of flat connections. I will introduce cluster integrable systems and discuss how they emerge from the perspective of exponential networks.
Date and Time: 4:00 – 5:30 PM, Apr. 24, Thursday.
Location: Room 1410 at SIMIS, Block A, No. 657 Songhu Road, Yangpu District, Shanghai
Meeting ID: 479 937 5280 (Passcode: SIMIS)
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