Spinor-valued Higgs Bundles - Theory and Applications

Explore the intricacies of spinor-valued Higgs bundles in this Consortium Distinguished Lecture by Nigel Hitchin from the University of Oxford. Delve into a 35-year journey of Higgs bundle theory and its impact on the geometry of vector bundles on Riemann surfaces. Examine the shift from endomorphisms twisted by the canonical bundle to those twisted by its square root, analogous to solutions of a Dirac equation on Riemann surfaces. Discover which aspects of standard theory remain applicable and which diverge significantly in this new context. Gain insights into this advanced mathematical topic through a comprehensive 1-hour and 14-minute presentation, delivered at the University of Miami's Ungar Building.