Previous Conferences & Workshops

Mar
17
2011

Galois Representations and Automorphic Forms Seminar

p-Adic Analytic Continuation of Genus 2 Overconvergent Hilbert Eigenforms in the Inert Case
2:15pm|S-101

A well known result of Coleman says that p-adic overconvergent (ellitpic) eigenforms of small slope are actually classical modular forms. Now consider an overconvergent p-adic Hilbert eigenform F for a totally real field L. When p is totally split...

Mar
16
2011

Galois Representations and Automorphic Forms Seminar

Periods Over Spherical Subgroups: An Extension of Some of the Langlands Conjectures
3:30pm|S-101

Periods of automorphic forms over spherical subgroups tend to: (1) distinguish images of functorial lifts and (2) give information about L-functions. This raises the following questions, given a spherical variety X=H\G: Locally, which irreducible...

Mar
15
2011

Computer Science/Discrete Mathematics Seminar II

A PRG for Gaussian Polynomial Threshold Functions
Daniel Kane
10:30am|S-101

We define a polynomial threshold function to be a function of the form f(x) = sgn(p(x)) for p a polynomial. We discuss some recent techniques for dealing with polynomial threshold functions, particular when evaluated on random Gaussians. We show how...

Mar
14
2011

Computer Science/Discrete Mathematics Seminar I

On the Fourier Spectrum of Symmetric Boolean Functions
Amir Shpilka
11:15am|S-101

It is well-known that any Boolean function f:{-1,+1}^n \to {-1,+1} can be written uniquely as a polynomial f(x) = \sum_{S subset [n]} f_s \prod_{i in S} x_i. The collection of coefficients (f_S's) this expression are referred to (with good reason)...