Thursday, March 10, 2022

Thursday, March 10, 2022 — 11:30 to 11:30 AM EST

Title: “Lattice-Based Zero-Knowledge Arguments for Integer Relations” by Benoit Libert, San Ling, Khoa Nguyen, and Huaxiong Wang

Speaker: Camryn Steckel Affiliation: University of Waterloo Zoom: Contact Jesse Elliott

Abstract:

We provide lattice-based protocols allowing to prove relations among committed integers. While the most general zero-knowledge proof techniques can handle arithmetic circuits in the lattice setting, adapting them to prove statements over the integers is non-trivial, at least if we want to handle exponentially large integers while working with a polynomial size modulus q.

Thursday, March 10, 2022 — 1:00 PM EST

Title: Type B q-Stirling numbers

Speaker: Joshua Swanson Affiliation: USC Location: MC 6029 or contact Logan Crew for Zoom link

Abstract:

The Stirling numbers of the first and second kind are classical objects in enumerative combinatorics which count the number of permutations or set partitions with a given number of blocks or cycles, respectively. Carlitz and Gould introduced q-analogues of the Stirling numbers of the first and second kinds, which have been further studied by many authors including Gessel, Garsia, Remmel, Wilson, and others, particularly in relation to certain statistics on ordered set partitions.

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