Algebraic Geometry Working Seminar

Brady Ali Medina, University of Waterloo

"Rank-2 odd degree moduli spaces of co-Higgs bundles"

Co-Higgs bundles are of great interest because they appear naturally in different areas of mathematics such as generalized geometry, and poisson geometry, to name a few. In this talk, we will start by defining the (semi)-stability on co-Higgs bundles over the complex projective line P^1, then we will find necessary and sufficient conditions on the Grothendieck numbers for the existence of stable co-Higgs fields. Moreover, we are going to show how the smooth moduli space of rank-2, odd-degree co-Higgs bundles can be interpreted as a kind of universal elliptic curve. 

Zoom meeting:

• Meeting ID: 811 2094 8164
• Passcode: 033003