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Please note: The University of Waterloo is closed for all events until further notice.

Events tagged with Faculty

Monday, November 2, 2020 — 11:30 AM EST

Title: Monogamy Violations in Perfect State Transfer

Speakers: Sabrina Lato & Christino Tamon
Affiliations: University of Waterloo & Clarkson Unversity
Zoom: Contact Soffia Arnadottir

Abstract:

Continuous-time quantum walks on a graph are defined using a Hermitian matrix associated to a graph. For a quantum walk on a graph using either the adjacency matrix or the Laplacian, there can be perfect state transfer from a vertex to at most one other vertex in the graph.

Thursday, November 5, 2020 — 1:00 PM EST

Title: Filtering Grassmannian cohomology via k-Schur functions

Speakers: Huda Ahmed and Yuanning Zhang
Affiliation: New York University and UC Berkeley
Zoom: Contact Karen Yeats

Abstract:

This talk concerns the cohomology rings of complex Grassmannians. In 2003, Reiner and Tudose conjectured the form of the Hilbert series for certain subalgebras of these cohomology rings. We build on their work in two ways. First, we conjecture two natural bases for these subalgebras that would imply their conjecture using notions from the theory of k-Schur functions. Second we formulate an analogous conjecture for Lagrangian Grassmannians.

Joint work with Michael Feigen, Victor Reiner, and Ajmain Yamin.

Thursday, November 5, 2020 — 1:00 PM EST

Title: Packings of partial difference sets

Speaker: Jonathan Jedwab
Affiliation: Simon Fraser University
Zoom: Contact Karen Yeats

Abstract:

Partial difference sets are highly structured group subsets that occur in various guises throughout design theory, finite geometry, coding theory, and graph theory. They admit only two possible nontrivial character sums and so are often studied using character theory.

Friday, November 6, 2020 — 3:30 PM EST

Title: Constructing broken SIDH parameters: a tale of De Feo, Jao, and Plut's serendipity

Speaker: Chloe Martindale
Affiliation: University of Bristol
Zoom: Please email Emma Watson

Abstract:

This talk is motivated by analyzing the security of the cryptographic key exchange protocol SIDH (Supersingular Isogeny Diffie-Hellman), introduced by 2011 by De Feo, Jao, and Plut. We will first recall some mathematical background as well as the protocol itself. The 'keys' in this protocol are elliptic curves, which are typically described by equations in x and y of the form y^2 = x^3 + ax + b.

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