Geometry/Topology Seminar: Symmetries of Riemann Surfaces and the Construction of Monopoles, by Linden Disney-Hogg
April 17, 2024
3:00 PM - 3:50 PM
Linden Disney-Hogg (University of Leeds): Symmetries of Riemann Surfaces and the Construction of Monopoles
The study of magnetic monopoles in gauge theory and the
connection with algebraic geometry celebrates its 50th anniversary in
2024, and in 1982 Hitchin provided the criteria for certain algebraic
curves to correspond to monopole solutions. These constraints are hard
to solve, being transcendental in nature, and in the ensuing 40 years
only a limited number of spectral curves have been discovered,
typically requiring large symmetry groups. I will describe how a
combination of the representation theory of Nahm's equations, computer
algebra software, and Riemann surface theory allows us to construct the
first new explicit monopole spectral curves for 25 years.
There will be a seminar lunch organized by Christopher (cmahadeo@uic.edu). Please reach out to him if you'd like to join.
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Date posted
Apr 25, 2024
Date updated
Apr 25, 2024
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