Previous Conferences & Workshops

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

Dec
02
2024

Joint IAS/PU Analysis Seminar

Recent Progress On Mean Curvature Flow
Bruce Kleiner
3:15pm|Simonyi Hall 101 and Remote Access

An evolving surface is a mean curvature flow if the normal component of its velocity field is given by the mean curvature. First introduced in the physics literature in the 1950s, the mean curvature flow equation has been studied intensely by...

Dec
02
2024

Members' Colloquium

Relationships Between Nilpotency and Curvature
1:00pm|Simonyi 101 and Remote Access

We travel the years in order to understand the relationship between Nilpotency and Riemannian geometry: including Gromov's almost flat theorem for manifolds with bounded curvature and Fukaya-Yamaguchi's almost nilpotency of spaces with lower...

Dec
02
2024

Computer Science/Discrete Mathematics Seminar I

QMA vs. QCMA and Pseudorandomness
Henry Yuen
10:30am|Simonyi 101 and Remote Access

In quantum complexity theory, QMA and QCMA represent two different generalizations of NP. Both are defined as sets of languages whose Yes instances can be efficiently checked by a quantum verifier that is given a witness. With QMA the witness can be...

Nov
29
2024

Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar

Non-commutative Cartier Isomorphism and Quantum Cohomology
Daniel Pomerleano
9:15am|Remote Access

Kaledin established a Cartier isomorphism for cyclic homology of dg-categories over fields of characteristic p, generalizing a classical construction in algebraic geometry. In joint work with Paul Seidel, we showed that this isomorphism and related...