Fridays 2:30-3:30 eastern time
McBryde 321
Diophantine definability over global fields
Travis Morrison
Techniques for Fault Attack-Resistance in Static/Ephemeral CSIDH
Jason LeGrow
From the lattice zeta function to "spiral shifting'’ operators
Yifeng Huang (UBC)
10:10-11, McBryde 316
Equivariant toric geometry and Euler-Maclaurin formulae
Jörg Schürmann (Munster)
A Quest for Maximum Zeros and Generalized Hamming Weight
Eliseo Sarmiento Rosales (Instituto Politécnico Nacional)
ZK-SNARKS
Veronika Kuchta (FAU)
What is... quantum cohomology ?
Leonardo Mihalcea
Title TBA
Speaker TBA
Title TBA
Julia Shapiro and Kamyar Amini
Computing the trace of a supersingular endomorphism
Travis Morrison, VT
No seminar
Rank-Metric Lattices
Giuseppe Cotardo
In 1971, Dowling introduced a class of geometric lattices in connection with coding theory. The elements of these lattices are the -linear subspaces of having a basis of vectors with Hamming weight bounded from above, ordered by inclusion. The theory of Dowling lattices and their extensions (called Higher-Weight Dowling Lattices, HWDL in short) have been brought forward by Bonin, Kung, and more recently by Ravagnani.
In this talk, we introduce the -analogue of HWDLs, which we call rank-metric lattices (RML in short). Their elements are the -linear subspaces of having a basis of vectors with rank weight bounded from above, ordered by inclusion. We determine which RMLs are supersolvable, computing their characteristic polynomials. We also investigate other structural properties of these lattices. In the second part of the talk, we establish a connection between RMLs and the problem of distinguishing between inequivalent rank-metric codes.
The new results in this talk are joint work with A. Ravagnani.
No seminar
Quantum K-theory of incidence varieties
Weihong Xu, Rutgers
Orbifold quantum K-theory
Ming Zhang, UCSD
No seminar -- Fall break
Optimization of Algorithms for Isogeny-Based Key Establishment
Jason Legrow, VT
Sporadic Torsion on Elliptic Curves
Abbey Bourdon, Wake Forest
Numerical invariants of Quot schemes on curves
Shubham Sinha, UCSD
An Application of Polynomial Invariant Theory in Coding Theory
Welington Santos, VT
Symbolic Powers of Principal Q-Borel ideals
Eduardo Camps
Matrix enumeration over finite fields
Yifeng Huang, UBC
Title TBA
Speaker TBA
No seminar -- Thanksgiving break
Drinfeld Modules, t-Motives and the Mellin Transform
Nathan Green