Title: Random Self-reducibility of Ideal-SVP via Arakelov Random WalksSpeaker: Pravek Sharma Affiliation: University of Waterloo Zoom: Please email Jesse Elliott
Fixing a number field, the space of all ideal lattices, up to isometry, is naturally an Abelian group, called the *Arakelov class group*. This fact, well known to number theorists, has so far not been explicitly used in the literature on lattice-based cryptography. Remarkably, the Arakelov class group is a combination of two groups that have already led to significant cryptanalytic advances: the class group and the unit torus.
Title: Springer fibers and the Delta Conjecture at t=0Speaker: Sean Griffin Affiliation: UC Davis Zoom: Please email Olya Mandelshtam
Springer fibers are a family of varieties that have remarkable connections to combinatorics and representation theory. Springer used them to geometrically construct all of the irreducible representations of the symmetric group (Specht modules). Moreover, they give a geometric meaning to Hall-Littlewood symmetric functions.