# Recent Advances in Pairing Based SNARKs

- Speakers: [Ariel Gabizon](https://streameth.org/speakers/ariel-gabizon)
- Event: [Zuzalu Montenegro 2023 - zkSync](https://streameth.org/zuzalu/zuzalu_montenegro_2023__zksync), Montenegro
- Channel: [Zuzalu](https://streameth.org/zuzalu)
- Date: 2023-04-19
- Watch: https://streameth.org/watch/65b8f8dca5b2d09b88ec1fbd

## Description

In this video, the speaker provides an overview of the last decade of pairing-based snarks, focusing on the third chapter of this approach. They discuss the KZG polynomial commitment scheme and how it can be used to prove that a polynomial is equal to the vanishing polynomial of a subset of T in only O(S) operations. The speaker introduces the concept of fractional decomposition and explains how it can be used to compute the commitment to ZT minus S, which is a sparse combination of commitments that can be pre-computed.