Previous Conferences & Workshops

Dec
05
2024

Special Year Seminar II

Cotangent Schubert Calculus
10:00am|Simonyi 101

Schubert Calculus studies cohomology rings in (generalized) flag varieties, equipped with a distinguished basis - the fundamental classes of Schubert varieties - with structure constants satisfying many desirable properties. Cotangent Schubert...

Dec
04
2024

Mathematical Conversations

Entropy, Coding and Mean Dimension
6:00pm|Birch Garden, Simons Hall

How much information is needed to describe a trajectory in a dynamical system? The answer depends on what one means by dynamical system.

If our system is a probability measure space, and one has a time evolution (with either discrete or continuous...

Dec
04
2024

Special Year Seminar I

Geometric Vertex Decomposition
2:00pm|Simonyi 101

Vertex decomposition, introduced by Provan and Billera in 1980, is an inductive strategy for breaking down and understanding simplicial complexes. A simplicial complex that is vertex decomposable is shellable, hence Cohen--Macaulay. Through the...

Dec
03
2024

Joint IAS/PU Groups and Dynamics Seminar

On the Quantum Unique Ergodicity Conjecture for Hyperbolic Arithmetic Manifolds
1:30pm|Simonyi Classroom (S-114)

We will discuss recent results towards the quantum unique ergodicity conjecture of Rudnick and Sarnak, concerning the distribution of Hecke--Maass forms on hyperbolic arithmetic manifolds. The conjecture was resolved for congruence surfaces by...

Dec
03
2024

Symplectic Geometry Seminar

Isotopies and Squeezing of Monotone Lagrangian Tori
Richard Hind
1:00pm|Simonyi 101 and Remote Access

Distinct Hamiltonian isotopy classes of monotone Lagrangian tori in $\mathbb{C} P^2$ can be associated to Markov triples. With two exceptions, each of these tori are symplectomorphic to exactly three Hamiltonian isotopy classes of tori in the ball...

Dec
03
2024

Computer Science/Discrete Mathematics Seminar II

A Review of the Notion of Graph Rigidity and Some Recent Developments
10:30am|Simonyi 101 and Remote Access

A d-dimensional framework is a pair $(G, \vec{p})$ consisting of a finite simple graph $G$ and an embedding $\vec{p}$ of its vertices in $\mathbb{R}^d$. A framework is called rigid if every continuous motion of the vertices in ${\mathbb R}^d$ that...

Dec
02
2024

Joint IAS/PU Analysis Seminar

Quantum Tunneling and Its Absence in Deep Wells and Strong Magnetic Fields
Jacob Shapiro
4:30pm|Simonyi Hall 101 and Remote Access

New results on quantum tunneling between deep potential wells, in the presence of a strong constant magnetic field are presented. This includes a family of double well potentials containing examples for which the low-energy eigenvalue splitting...

Dec
02
2024

Joint IAS/PU Arithmetic Geometry

Relative Rigid Cohomology via Motivic Homotopy Theory
Alberto Vezzani
3:35pm|*Princeton University, Fine Hall 224*

We show how the language of motivic non-archimedean homotopy theory can be used to define p-adic cohomology theories and prove new results about them. For example, we show how to define solid relative rigid cohomology and deduce a version of