Previous Conferences & Workshops

Yusuke Kawamoto: Homogeneous quasimorphism, C^0-topology and Lagrangian intersection

Abstract: We construct an example of a non-trivial homogeneous quasimorphism on the group of Hamiltonian diffeomorphisms of the $2$- and $4$-dimensional quadric...

In 2016, Ellenberg and Gijswijt made a breakthrough on the famous cap-set problem, which asks about the maximum size of a subset of \mathbb{F}_3^n not containing a three-term arithmetic progression. Ellenberg and Gijswijt proved that any such set...

We consider sequential prediction with expert advice when the data are generated stochastically, but the distributions generating the data may vary arbitrarily among some constraint set. We quantify relaxations of the classical I.I.D. assumption in...

Knot Floer homology is an invariant for knots in three-space, defined as a Lagrangian Floer homology in a symmetric product. It has the form of a bigraded vector space, encoding topological information about the knot. I will discuss an algebraic...

Competitive optimization is needed for many ML problems such as training GANs, robust reinforcement learning, and adversarial learning. Standard approaches to competitive optimization involve each agent independently optimizing their objective...

We review a "Weyl law" in embedded contact homology, relating periods of orbits of the Reeb vector field on a contact three-manifold to volume. (This was also mentioned in the talk by Dan Cristofaro-Gardiner.) We explain a clever argument by Kei...

Data-driven design is making headway into a number of application areas, including protein, small-molecule, and materials engineering. The design goal is to construct an object with desired properties, such as a protein that binds to a target more...

A classic result, due to McDuff and Schlenk, asserts that the function that encodes when a four-dimensional symplectic ellipsoid can be embedded into a four-dimensional ball has a remarkable structure: the function has infinitely many corners...

The reversibility paradox is the objection that it should not be possible to deduce an irreversible process from time-symmetric dynamics. A first result reconciling the fundamental microscopic physical processes (with time reversal symmetry) and...

We present techniques for constructing families of compact, monotone (including exact) Lagrangians in certain affine varieties, starting with Brieskorn-Pham hypersurfaces. We will focus on dimensions 2 and 3. In particular, we'll explain how to set...