Previous Conferences & Workshops

Oct
27
2020

Computer Science/Discrete Mathematics Seminar II

On the extension complexity of random polytopes
10:30am|Simonyi 101 and Remote Access

Sometimes, it is possible to represent a complicated polytope as a projection of a much simpler polytope. To quantify this phenomenon, the extension complexity of a polytope P is defined to be the minimum number of facets in a (possibly higher...

Oct
26
2020

Analysis Seminar

Kolmogorov, Onsager and a stochastic model for turbulence
4:30pm|Remote Access

We will briefly review Kolmogorov’s (41) theory of homogeneous turbulence and Onsager’s (49) conjecture that in 3-dimensional turbulent flows energy dissipation might exist even in the limit of vanishing viscosity. Although over the past 60 years...

Oct
26
2020

Members’ Seminar

Paper Moebius Bands
2:00pm|Simonyi Hall 101 and Remote Access

You can make a paper Moebius band by starting with a $1$ by $L$ rectangle, giving it a twist, and then gluing the ends together. The question is: How short can you make $L$ and still succeed in making the thing? This question goes back to B. Halpern...

Oct
26
2020

Computer Science/Discrete Mathematics Seminar I

Fractionally Log-Concave and Sector-Stable Polynomials: Counting Planar Matchings and More
Nima Anari
11:15am|Remote Access - see Zoom link below

We introduce two new notions for polynomials associated with discrete set-valued probability distributions. These notions generalize well-studied properties like real-stability and log-concavity, but unlike them robustly degrade under a number of...

Oct
23
2020

Workshop on Topology: Identifying Order in Complex Systems

How to describe, analyze and interrogate dynamics of gene regulatory networks
Tomas Gedeon
2:00pm|Remote Access - see Zoom link below

We first describe mathematical foundation of DSGRN (Dynamic Signatures Generated by Regulatory Networks), an approach that provides a queryable description of global dynamics of a network over its entire param- eter space. We describe a connection...

Oct
22
2020

Joint IAS/Princeton University Number Theory Seminar

On the locally analytic vectors of the completed cohomology of modular curves
Lue Pan
4:30pm|Remote Access

A classical result identifies holomorphic modular forms with highest weight vectors of certain representations of $SL_2(\mathbb{R})$. We study locally analytic vectors of the (p-adically) completed cohomology of modular curves and prove a p-adic...