Previous Conferences & Workshops

Mar
23
2023

What is...?

Wondering About Wandering Domains
Adi Glücksam
1:00pm|Simonyi Hall 101

The goal of this talk is to present two problems related to wandering domains. I will define the participating objects, and give a historical overview of what was done and what is left to do to solve these problems. 

No basic knowledge in complex...

Mar
22
2023

Analysis and Mathematical Physics

Diffusion and Mixing for Two-dimensional Hamiltonian Flows
Michele Coti-Zelati
3:00pm|Simonyi Hall 101 and Remote Access

We consider general two-dimensional autonomous velocity fields and prove that their mixing and dissipation features are limited to algebraic rates. As an application, we consider a standard cellular flow on a periodic box, and explore potential...

Mar
22
2023

Special Year Learning Seminar

Sets of Multiplicative Recurrence
10:30am|Simonyi 101 and Remote Access

Sets of recurrence were introduced by Furstenberg in the context of ergodic theory and have an equivalent combinatorial characterization as intersective sets, an observation which has led to interesting connections between these areas.

Originally...

Mar
21
2023

Special Year Research Seminar

Unbounded Fast Escaping Wandering Domains
Adi Glücksam
2:00pm|Simonyi 101 and Remote Access

Complex dynamics explores the evolution of points under iteration of functions of complex variables. In this talk I will introduce into the context of complex dynamics, a new approximation tool allowing us to construct new examples of entire...

Mar
21
2023

Computer Science/Discrete Mathematics Seminar II

Strong Bounds for 3-Progressions: In-Depth
Raghu Meka and Zander Kelley
10:30am|Simonyi Hall 101 and Remote Access

Suppose you have a set A of integers from {1, 2, …, N} that contains at least N / C elements.  Then for large enough N, must A contain three equally spaced numbers (i.e., a 3-term arithmetic progression)? 

In 1953, Roth showed that this is indeed...

Mar
20
2023

Joint IAS/Princeton University Symplectic Geometry Seminar

Dynamics of Seifert Surfaces of Torus Knots Via ECH
Morgan Weiler
4:00pm|Simonyi 101 and Remote Access

Embedded contact homology (ECH) is a diffeomorphism invariant of three-manifolds due to Hutchings, defined using a contact form. This very diffeomorphism invariance makes it quite useful when studying contact dynamics, because it is possible to...

Mar
20
2023

Members' Colloquium

Recent Results on Finite Group Lattice Gauge Theories
2:00pm|Simonyi Hall 101 and Remote Access - see Zoom link below

The rigorous study of spin systems such as the Ising model is currently one of the most active research areas in probability theory. In this talk, I will introduce one particular class of such models, known as lattice gauge theories (LGTs), and go...

Mar
20
2023

Computer Science/Discrete Mathematics Seminar I

Extremal Problems for Uniformly Dense Hypergraphs
Mathias Schacht
11:15am|Simonyi 101 and Remote Access

Extremal combinatorics is a central research area in discrete mathematics. The field can be traced back to the work of Turán and it was established by Erdős through his fundamental contributions and his uncounted guiding questions. Since then it has...