Previous Conferences & Workshops

Apr
20
2023

What is...?

What is a D-module?
Lizzie Pratt
1:00pm|Simonyi 101 and Remote Access

In this talk, we will discuss the computation of motivic stable homotopy groups and their applications in classical computations. Specifically, we will discuss an example of complex motivic applications in classical theory, the Adams spectral...

Apr
19
2023

Special Year Learning Seminar

Algebraic Aspects of Normality and Determinism.
Tomasz Downarowicz
10:30am|Simonyi 101 and Remote Access

In 1976, Gérard Rauzy proved a characterization of deterministic numbers: y is deterministic iff for any normal number x, x+y is also normal. During my lecture I willdiscuss  how normal and deterministic numbers behave under arithmetic operations. ...

Apr
18
2023

Special Year Research Seminar

Polynomial Patterns in Finite Fields: a Dynamical Point of View
2:00pm|Simonyi 101 and Remote Access


In its dynamical formulation, the Furstenberg—Sárközy theorem states that for any invertible measure-preserving system $(X, \mu, T)$, any set $A \subseteq X$ with $\mu(A) > 0$, and any integer polynomial $P$ with $P(0) = 0$,
$$c(A) = \lim_{N-M \to...

Apr
18
2023

Computer Science/Discrete Mathematics Seminar II

Existence of Subspace Designs
Ashwin Sah
10:30am|Simonyi Hall 101 and Remote Access

We prove the existence of subspace designs with any given parameters, provided that the dimension of the underlying space is sufficiently large in terms of the other parameters of the design and satisfies the obvious necessary divisibility...

Apr
17
2023

Joint IAS/Princeton University Arithmetic Geometry Seminar

An Application of Motivic Stable Homotopy Computations in Classical Theory
4:30pm|Princeton University, Fine Hall 314

Motivic homotopy theory is a powerful framework for understanding algebraic varieties and the associated algebraic objects. Moreover, computations in the motivic stable homotopy category can also assist in the computation of stable homotopy groups...

Apr
17
2023

Joint IAS/Princeton University Symplectic Geometry Seminar

Exotic contact structures on $\mathbb{R}^n$
Joseph Helfer
4:00pm|Simonyi 101 and Remote Access

Contact homology is a Floer-type invariant for contact manifolds, and is a part of Symplectic Field Theory. One of its first applications was the existence of exotic contact structures on spheres. Originally, contact homology was defined only for...

Apr
17
2023

Members' Colloquium

Classification of Smooth Actions by Higher Rank Lattices in Critical Dimensions
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

The Zimmer program asks how lattices in higher rank semisimple Lie groups may act smoothly on compact manifolds. Below a certain critical dimension, the recent proof of the Zimmer conjecture by Brown-Fisher-Hurtado asserts that, for SL(n,R) with n...

Apr
17
2023

Computer Science/Discrete Mathematics Seminar I

Unit and Distinct Distances in Typical Norms
11:15am|Simonyi 101 and Remote Access

Erdős' unit distance problem and his related distinct distances problem are arguably the best known open problems in discrete geometry.

They ask for the maximum possible number of unit distances, and the minimum possible number of distinct...