Events and Activities

This event is for IAS Staff.

I will report on a new application of Lagrangian Floer theory in Hamiltonian dynamics, obtained in joint work with Habib Alizadeh. We show that the existence of suitable invariant sets of a Hamiltonian diffeomorphism, which are often Lagrangian...

I will discuss homogeneous Markov Gibbs measures on Cayley trees and how the question of their existence and multiplicity is related to homoclinic points of non-smooth symplectomorphisms and more general Lagrangian correspondences. My talk is based...

How the structure of data in the external world gets represented and used in the internal states of neural networks is a fundamental question in both AI and neuroscience. This question has a long history in computational neuroscience, and more...

Abstract: Poincare's last geometric theorem asserts that an area preserving homeomorphism of the annulus twisting two boundaries admits two fixed points. The Arnold conjecture leading to the Floer theory is one way of generalizing the theorem. 

Anoth...

There are many interesting "$q$-deformations" of classical constructions/facts, like the $q$-binomial theorem, $q$-derivatives, etc., where setting $q$ = 1 produces the known objects. In this talk, I'll describe how to deform even further: namely, I...