Speaker: Xiaoyu Su (Beijing University of Posts and Telecommunications)
Time: 16:00-17:30, Mar 13, 2026
Venue: room 5302, the Fifth Teaching Building
The Frobenius morphism yields profound insights into the geometry of moduli spaces in positive characteristic. A central, extensively studied problem in this context is: What is the action of the Frobenius pullback fr on the moduli stacks of semistable G-bundles? More specifically, how is (semi)stability preserved or altered under iteration of the Frobenius morphism. In this talk, we will first introduces the preliminary notions and conventions concerning the moduli of principal bundles, then talk about the stability of Frobenius pullback of a general semistable G bundle on a curve X in the moduli stack of G bundles with fixed topological type. We then present some applications of the main theorem. This is a joint work with Jin Cao and Yumin Zhong.
