Events and Activities

Explore current and upcoming events and activities happening at the Institute for Advanced Study.

Dec
06
2022

Computer Science/Discrete Mathematics Seminar II

Online List Labeling: Breaking the log$^2$ n Barrier
Nicole Wein
10:30am|Simonyi Hall 101 and Remote Access

The online list labeling problem is a basic primitive in data structures. The goal is to store a dynamically-changing set of n items in an array of m slots, while keeping the elements in sorted order. To do so, some items may need to be moved over...

Dec
06
2022

Computer Science/Discrete Mathematics Seminar II

Online List Labeling: Breaking the log$^2$ n Barrier
Nicole Wein
10:30am|Simonyi Hall 101 and Remote Access

The online list labeling problem is a basic primitive in data structures. The goal is to store a dynamically-changing set of n items in an array of m slots, while keeping the elements in sorted order. To do so, some items may need to be moved over...

Dec
06
2022

Special Year Research Seminar

Products of primes in arithmetic progressions
2:00pm|Simonyi 101 and Remote Access

A conjecture of Erdős states that for every large enough prime q, every reduced residue class modulo q is the product of two primes less than q. I will discuss my on-going work with Kaisa Matomäki establishing among other things a ternary variant of...

Dec
07
2022

Harmonic Analysis Afternoon

An Introduction to the Decoupling of Higher Dimensional, Zero Curvature Hypersurfaces
2:00pm|Simonyi 101 and Remote Access

The ruled hypersurfaces are distinguished by being comprised of lines. When this characteristic exists as a consequence of vanishing principal curvatures, it yields possibilities for comparison with cylinders extending over lower-dimensional...

Dec
07
2022

Harmonic Analysis Afternoon

A Fractal Uncertainty Principle for Discrete 2D Cantor Sets
Alex Cohen
3:15pm|Simonyi 101 and Remote Access

A fractal uncertainty principle (FUP) states that a function `f' and its Fourier transform cannot both be large on a fractal set. These were recently introduced by Semyon Dyatlov and collaborators in order to prove new results in quantum chaos. So...

Dec
07
2022

Analysis & Mathematical Physics

Three things about polynomials
4:30pm|Simonyi 101 and Remote Access

I will talk about three interesting ingredients that goes into the results on H\"{o}rmander type operators I presented at Princeton (joint with Shaoming Guo and Hong Wang). They are all related to algebraic or geometric properties of multivariate...

Dec
07
2022

Mathematical Conversations

Bi-Lipschitz Equivalence to the Euclidean Space
6:00pm|Birch Garden, Simons Hall

In dimension two, Urs Lang and Mario Bonk proved that a surface, homeomorphic to the plane, is bi-Lipschitz to the Euclidean space if its total Gauss curvature is smaller than that of the hemisphere. In this talk, I will explain what is known in...

Dec
08
2022

Joint IAS/PU Number Theory Seminar

Quadratic Twists of Modular L-Functions
Xiannan Li
4:30pm|Simonyi Hall 101 and Remote Access

The behavior of quadratic twists of modular L-functions is at the critical point is related both to coefficients of half integer weight modular forms and data on elliptic curves.  Here we describe a proof of an asymptotic for the second moment of...