A Noether-Lefschetz type theorem for spectral varieties with applications

Time：Wednesday, 14:00-15:00 April 10, 2024

Venue：C654 Shuangqing Complex Building A 清华大学双清综合楼A座C654

Speaker：Xiaoyu Su 苏晓羽 Beijing University of Posts and Telecommunications

Abstract

In 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 its geometric applications will also be discussed. This is a joint work with Bin Wang.

DATEApril 9, 2024

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