AbstractZero-Knowledge Succinct Non-interactive ARguments of Knowledge (zkSNARKs) have been a hot topic lately because they are one of the essential tools for building privacy-preserving blockchain applications. zkSNARKs enable one party (the prover) to prove to another party (the verifier) that a statement is true, without revealing other information apart from the fact that the statement is t...
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...