Previous Conferences & Workshops

Mar
19
2025

Connections to Schubert Calculus Learning Seminar

Kraskiewicz-Pragacz Modules, Magyar’s Configuration Varieties, and Schubert’s Space of Triangles
3:30pm|Simonyi 101

I’ll describe a circle of ideas that links Schubert polynomials with representation theory, via some configuration spaces studied by Magyar (and which include Schubert’s famous space of complete triangles). Most of the geometric connections were...

Mar
19
2025

Special Year Seminar I

Quasisymmetric Divided Differences and Forest Polynomials
Vasu Tewari
2:00pm|Simonyi 101

Postnikov's divided symmetrization, introduced in the context of volume polynomials of permutahedra, possesses a host of remarkable ``positivity'' properties. These turn out to be best understood using a family of operators we call quasisymmetric...

Mar
18
2025

Joint IAS/PU Groups and Dynamics Seminar

Moments of Margulis Functions and Values of Ternary Quadratic Forms
Wooyeon Kim
4:30pm|Simonyi 101

The Oppenheim conjecture, proved by Margulis in 1986, states that for a non-degenerate indefinite irrational quadratic form Q in $n \geq$ 3 variables, the image set $Q(Z^n)$ of integral vectors is a dense subset of the real line. Determining the...

Mar
18
2025

Symplectic Geometry Seminar

Convex Hypersurfaces and Dynamical Systems
Julian Chaidez
1:00pm|Simonyi 101 and Remote Access

A hypersurface in a contact manifold is convex if there is a contact vector field that is transverse to it. Convex surfaces have long been a fundamental tool in 3-dimensional contact topology. In higher dimensions, convex hypersurfaces remained...

Mar
17
2025

Joint IAS/PU Analysis Seminar

Control of Eigenfunctions on Negatively Curved Manifolds
Semyon Dyatlov
4:30pm|314 Fine Hall

Semiclassical measures are a standard object studied in quantum chaos, capturing macroscopic behavior of sequences of eigenfunctions in the high energy limit. They have a long history of study going back to the Quantum Ergodicity theorem and the...

Mar
17
2025

Joint IAS/PU Analysis Seminar

The Viscous Inflow Boundary Condition For Channel Flows
Yan Guo
3:00pm|314 Fine Hall

The lateral periodic condition has been imposed canonically and investigated extensively in the study of a channel flow, which unfortunately is not compatible with either the celebrated Reynolds' experiment or the self-similar Blasius boundary layer...

Mar
17
2025

Members' Colloquium

Buildings, Galleries and Beyond
Petra Schwer
1:00pm|Simonyi 101 and Remote Access

Originally introduced as analogs of symmetric spaces for  groups over non-archimedian fields buildings have proven useful in various areas by now. In this talk I will introduce (Bruhat-Tits) buildings,  combinatorial toolkits to study them and their...

Mar
17
2025

Computer Science/Discrete Mathematics Seminar I

A Zero-Knowledge PCP Theorem
Nicholas Spooner
10:30am|Simonyi Hall 101 and Remote Access

Two central results in modern complexity theory can be summed up as follows:

  1. Everything provable is provable in zero knowledge (NP ⊆ CZK); and
  2. Everything provable is locally checkable (NP = PCP[log n, 1]).

In a pair of recent works, we show how to...