Algebraic Geometry Working Seminar

Robert Cornea, Department of Pure Mathematics, University of Waterloo

"Compactification of the Moduli of Twisted Higgs Bundles over P^1"

There is a canonical compactification of the moduli space of stable Higgs bundles over a compact Riemann surface of genus at least two due to Tamás Hausel. In this compactification, one takes a projectivized copy of the moduli space of stable bundles and attaches this at infinity to compactify the moduli space of Higgs bundles. In this talk we repeat the above process but using P^1 as our base. Considering the moduli space of twisted Higgs bundles over P^1 leads to a construction of a new object that acts as a “replacement” for the moduli space of stable bundles and thus producing a compactification for the moduli space of twisted Higgs bundles over P^1.

Zoom meeting:

• Meeting ID: 811 2094 8164
• Passcode: 033003