Coset Spaces and Hecke Algebra Actions

Grant number: DP120101942 | Funding period: 2012 - 2015

Completed

Abstract

This project will develop fundamental models and their mechanics as tools for studying subtle geometry and hidden symmetry in number systems and systems of equations. These powerful new models will provide an elementary and tractable approach for exploiting patterns that are naturally embedded in complex systems.

Related publications (6)

Distinguishing newforms

S Chow, A Ghitza

2015-05-25

Let n<inf>0</inf>(N, k) be the number of initial Fourier coefficients necessary to distinguish newforms of level N and even weight..

Distinguishing eigenforms modulo a prime ideal

S Chow, A Ghitza

2014-12-01

Consider the Fourier expansions of two elements of a given space of modular forms. How many leading coefficients must agree in ord..

Hecke eigenvalues of Siegel modular forms of "different weights"

A Ghitza, R Sayer

2014-01-01

Given two Siegel eigenforms of different weights, we determine explicit sets of Hecke eigenvalues for the two forms that must be d..

Generalized Schubert Calculus

Nora Ganter, Arun Ram

2013-07-01

Affine and degenerate affine BMW algebras: Actions on tensor space

Z Daugherty, A Ram, R Virk

2013-05-01

The affine and degenerate affine Birman-Murakami-Wenzl (BMW) algebras arise naturally in the context of Schur-Weyl duality for ort..

Computing level one Hecke eigensystems (mod p)

C Citro, A Ghitza

2013-01-01

We describe an algorithm for enumerating the set of level one systems of Hecke eigenvalues arising from modular forms (mod p).

University of Melbourne Researchers

Arun Ram

Alex Ghitza