Previous Conferences & Workshops

Apr
15
2019

Computer Science/Discrete Mathematics Seminar I

On the possibility of an instance-based complexity theory.
11:00am|Simonyi Hall 101

Worst-case analysis of algorithms has been the central method of theoretical computer science for the last 60 years, leading to great discoveries in algorithm design and a beautiful theory of computational hardness. However, worst-case analysis can...

Apr
11
2019

Joint IAS/Princeton University Number Theory Seminar

Sato-Tate groups of abelian threefolds
4:30pm|Princeton University, Fine Hall 214

The Sato-Tate group of an abelian variety A of dimension g defined over a number field is a compact real Lie subgroup of the unitary simplectic group of degree 2g that conjecturally governs the limiting distribution of the normalized Frobenius...

Apr
11
2019

Marston Morse Lectures

Fluctuations look like white noise
Laure Saint-Raymond
2:00pm|Simonyi Hall 101

At leading order, the fluctuations around the typical dynamics are described by the second cumulant. They actually satisfy a stochastic PDE with time-space white noise. Can we say more using higher order cumulants?

Apr
10
2019

Mathematical Conversations

How do computers do arithmetic, and should we believe the answers?
6:00pm|Dilworth Room

When designing the first computer built at IAS, von Neumann rejected floating-point arithmetic as neither necessary nor convenient. In 1997 William Kahan at Berkeley, who designed the famously accurate algorithms on Hewlett-Packard calculators, said...

Apr
09
2019

Variational Methods in Geometry Seminar

Bifurcating conformal metrics with constant Q-curvature
Renato Bettiol
3:30pm|Simonyi Hall 101

The problem of finding metrics with constant Q-curvature in a prescribed conformal class is an important fourth-order cousin of the Yamabe problem. In this talk, I will explain how certain variational bifurcation techniques used to prove non...

Apr
09
2019

Marston Morse Lectures

Space-time correlations at equilibrium
Laure Saint-Raymond
2:00pm|Simonyi Hall 101

Although the distribution of hard spheres remains essentially chaotic in this regime, collisions give birth to small correlations. The structure of these dynamical correlations is amazing, going through all scales. How combinatorial techniques can...

Apr
09
2019

Computer Science/Discrete Mathematics Seminar II

Flow polytopes
10:30am|Simonyi Hall 101

A nonnegative flow on the edges of a directed acyclic graph $G$ on the vertex set $[n]$ with netflow vector $\bf{a}=(a_1, \ldots, a_n)\in \mathbb{Z}^n$ is an assignment of nonnegative real numbers to the edges of $G$ so that at each vertex $i$ the...