Kunal Gupta 学术报告
Title: From knots to quivers via exponential networks
Speaker: Kunal Gupta
Affiliation: Uppsala University, Sweden（瑞典乌普萨拉大学)
Time: 16:00-17:00, Friday, 13th June, 2025 (UTC+8, Beijing Time)
Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)
Inviter: Jie Gu （顾杰）
Abstract
I will present our proposal for a mirror derivation of the quiver description of open topological strings known as the knots-quivers correspondence, based on enumerative invariants of augmentation curves encoded by exponential networks. Quivers are obtained by studying M2 branes wrapping holomorphic disks with Lagrangian boundary conditions on an M5 brane, through their identification with a distinguished sector of BPS kinky vortices in the 3d-3d dual QFT. Our proposal suggests that holomorphic disks with Lagrangian boundary conditions are mirror to calibrated 1-chains on the associated augmentation curve, whose intersections encode the linking of boundaries. This is based on works arXiv:2407.08445, arXiv:2412.14901 with Pietro Longhi.
Speaker
Kunal Gupta is currently a PhD student at the Department of Physics and Astronomy of the University of Uppsala. He is interested in approaching mathematical problems from a physical perspective.
The seminar will be broadcasted online by Zoom.
Interested people are free to join, without registration in advance.
The Zoom info is
URL: https://us02web.zoom.us/j/3854420225?pwd=SXY4eWJKOTBFZWJDaE16aXpTamY1QT09
Meeting ID: 385 442 0225
Passcode: yauc