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Seminars in Combinatorics and Optimization
Crypto Reading Group -Roy Stracovsky
Title:Enhancing Anamorphic Cryptography
| Speaker | Roy Stracovsky |
| Affiliation | Georgia Tech |
| Location | MC 5479 |
Abstract: Anamorphic cryptography (Persiano, Phan, and Yung, Eurocrypt 2022) allows users who share a “double key” to hide encrypted messages in ciphertexts and signatures to allow covert communication under a hypothetical “dictator” who can monitor all communication or force parties to give up their cryptographic keys in order to check for compliance.
Algebraic and enumerative combinatorics seminar-Zeus Dantas E Moura
Title: Algebraic and enumerative combinatorics seminar
| Speaker | Zeus Dantas E Moura |
| Affiliation | University of Wtaerloo |
| Location | MC 6029 |
Abstract:
Permuted-basement Macdonald polynomials E_α^σ(x_1, ..., x_n; q, t) are nonsymmetric generalizations of symmetric Macdonald polynomials indexed by a composition α and a permutation σ. They can be described combinatorially as generating functions over augmented fillings of shape α and basement σ.
We construct deterministic and probabilistic bijections on fillings that prove identities relating
E_α^σ, E_α^{σ s_i}, E_{s_i α}^σ, and E_{s_i α}^{σ s_i}.
These identities arise from two operations on the shape and basement: swapping adjacent parts of the shape, which expands
E_α^σ intoE_{s_i α}^σ and E_{s_i α}^{σ s_i}; and swapping adjacent basement entries,
which gives E_α^σ = E_α^{σ s_i} when α_i = α_{i+1}.
There will be a pre-seminar presenting relevant background at the beginning graduate level starting at 1:30pm.