Previous Conferences & Workshops

Dec
07
2021

Computer Science/Discrete Mathematics Seminar II

An Introduction to Binary Code Bounds
Fernando Granha Jeronimo
10:30am|Simonyi Hall 101 and Remote Access

A binary code is simply any subset of 0/1 strings of a fixed length. Given two strings, a standard way of defining their distance is by counting the number of positions in which they disagree. Roughly speaking, if elements of a code are sufficiently...

Dec
06
2021

Joint IAS/Princeton University Symplectic Geometry Seminar

Producing algebraic curves in projective families via Floer theory
Alex Pieloch
4:00pm|Fine Hall 314, Princeton University

We will discuss the existence of rational (multi)sections and unirulings for projective families $f: X \to CP^1$ with at most two singular fibres. In particular, we will discuss two ingredients that are used to construct the above algebraic curves...

Dec
06
2021

Members' Colloquium

Old and New Results on the Spread of the Spectrum of a Graph
John C Urschel
2:00pm|Simonyi Hall 101 and Remote Access

The spread of a matrix is defined as the diameter of its spectrum. This quantity has been well-studied for general matrices and has recently grown in popularity for the specific case of the adjacency matrix of a graph. Most notably, Gregory...

Dec
06
2021

Computer Science/Discrete Mathematics Seminar I

List decoding with double samplers
Inbal Livni-Navon
11:15am|Simonyi Hall 101 and Remote Access

The ABNNR encoding is a classical encoding scheme that amplifies the distance of an error correcting code. The encoding takes an error correcting code with a small distance and constructs an error correcting code with distance approaching one, by...

Dec
01
2021

Mathematical Conversations

A magnetic interpretation of the nodal count on graphs
Lior Alon
6:00pm|Birch Garden, Simons Hall

The study of nodal sets, i.e. zero sets of eigenfunctions, on geometric objects can be traced back to De Vinci, Galileo, Hook, and Chladni. Today it is a central subject of spectral geometry. Sturm (1836) showed that in 1D, the $n$-th eigenfunction...

Dec
01
2021

Joint IAS/Princeton University Number Theory Seminar

Abelian varieties not isogenous to Jacobians
Jacob Tsimerman
4:30pm|Simonyi Hall 101 and Remote Access

Katz and Oort raised the following question: Given an algebraically closed field $k$, and a positive integer $g > 3$, does there exist an abelian variety over k not isogenous to a Jacobian over $k$? There has been much progress on this question...