Previous Conferences & Workshops

Mar
30
2023

Joint IAS/PU Number Theory Seminar

Integrality of Theta Liftings to a Definite U(2)
Yu-Sheng Lee
4:30pm|Princeton University, Fine Hall 214

We discuss the integrality of theta liftings of anti-cyclotomic characters to a definite unitary group of two variables. This will allow us to construct a Hida family of the theta liftings and relate the congruence module of which to an anti...

Mar
30
2023

What is...?

What is Combinatorial Hodge Theory?
Johanna Steinmeyer
1:00pm|Simonyi Hall 101
Mar
29
2023

Marston Morse Lectures

From Nonlocal Games to Undecidability
Thomas Vidick
11:00am|Simonyi Hall 101 and Remote Access - see Zoom link below

In this lecture I will present basic elements of the theory of nonlocal games from quantum information theory and give some examples. I will then introduce the idea of "compressing" the complexity of nonlocal games, and show how the right form of...

Mar
28
2023

Special Year Research Seminar

Recognizing Groups in Erdős Geometry and Model Theory
Artem Chernikov
3:30pm|Simonyi 101 and Remote Access

Erdős-style geometry is concerned with combinatorial questions about simple geometric objects, such as counting incidences between finite sets of points, lines, etc. These questions can be typically viewed as asking for the possible number of...

Mar
28
2023

Special Year Research Seminar

On the Maximum of a Twisted Divisor Function
Dimitris Koukoulopoulos
2:00pm|Simonyi 101 and Remote Access

Given $n\in\mathbb{N}$ and $\xi\in\mathbb{R}$, let $\tau(n;\xi)=\sum_{d|n}d^{i\xi}$. Hall and Tenenbaum asked in their book \textit{Divisors} what is the value of $\max_{\xi\in[1,2]} |\tau(n;\xi)|$ for a ``typical'' integer $n$. I will present work...

Mar
28
2023

Computer Science/Discrete Mathematics Seminar II

The Lens of Abelian Embeddings
10:30am|Simonyi Hall 101 and Remote Access

A predicate $P:\Sigma^k \to {0,1}$ is said to be linearly embeddable if the set of assignments satisfying it can be embedded in an Abelian group. 

In this talk, we will present this notion and mention problems it relates to from various areas...

Mar
27
2023

Joint PU/IAS Arithmetic Geometry

On the geometry of p-adic Shimura varieties
Mingjia Zhang
4:30pm|Simonyi Hall 101 and Remote Access

Shimura varieties play an important role in the Langlands program. In this talk I will explain a conjectural fiber product structure on them as p-adic adic spaces, which generalizes the fiber product formula of Mantovan. To understand the conjecture...

Mar
27
2023

Joint IAS/Princeton University Symplectic Geometry Seminar

A Coproduct Structure on Symplectic Cohomology
Lea Kenigsberg
4:00pm|Fine 314 and Remote Access

I will discuss coproduct structures and why we care about them. Then I will define a new coproduct structure on symplectic cohomology and indicate how to compute it in an example.