Speaker Ruixiang Zhang is an assistant professor in the Department of Mathematics. He works in harmonic analysis on Euclidean spaces and related problems. He is also interested in harmonic analysis on general locally symmetric spaces and in additive combinatorics.Awards for Zhang include the Gold Medal of the 49th International Mathematics Olympiad, a Silver Medal for his doctoral thesis for th...
AbstractIn this talk, we will discuss spectral variety and related moduli spaces of Higgs pairs on surfaces. We will first introduce the geometry of moduli of Higgs pairs and the spectral varieties. Indeed, we will talk about the Noether-Lefschetz type problems and the Picard schemes of the spectral varieties. If time permits, the Picard group of generic (very general) spectral varieties and it...