Video Lectures

Results on abundance of global surfaces of section

Umberto Hryniewicz

Modularity and Heights of CM cycles on Kuga-Sato varieties

Congling Qiu

We study CM cycles on Kuga-Sato varieties over X(N) via theta lifting and relative trace formula. Our first result is the modularity of CM cycles, in the sense that the Hecke modules they generate are semisimple whose irreducible components are...

Recent progress in query complexity I & II Part 2

The query model is one of the most basic computational models.  In contrast to the Turing machine model, fundamental questions regarding the power of randomness and quantum computing are relatively well-understood.  For example, it is well-known...

Tropical Lagrangian sections and Looijenga pairs

Andrew Hanlon

We will discuss the first steps in an approach to proving homological mirror symmetry for Looijenga pairs through tropical Lagrangian sections. Namely, we will see how to construct these Lagrangian sections from tropical data corresponding to line...

What is the h-principle?

The honest answer to the question is that I actually do not know. I will therefore rather talk about several famous examples that are widely called "h-principle results" and try to explain some of the ideas behind the ones I am most familiar with.

...

Alexandros Hollender

We consider the problem of computing a Gradient Descent solution of a continuously differentiable function f on a bounded convex domain, i.e., finding a "point where Gradient Descent terminates". Equivalently, this corresponds to computing a so...

Cabling of knots in overtwisted contact manifolds

Rima Chatterjee

Knots associated to overtwisted manifolds are less explored. There are two types of knots in an overtwisted manifold – loose and non-loose. Non-loose knots are knots with tight complements whereas loose knots have overtwisted complements. While we...

Cylindrical contact homology of links of simple singularities

Leo Digiosia

In this talk we consider the links of simple singularities, which are contactomoprhic to S3/G for finite subgroups G of SU(2,C). We explain how to compute the cylindrical contact homology of S3/G by means of perturbing the canonical contact form by...

Convergence and Riemannian bounds on Lagrangian submanifolds

Jean-Philippe Chassé

Recent years have seen the appearance of a plethora of possible metrics on spaces of Lagrangian submanifolds. Indeed, on top of the better-known Lagrangian Hofer metric and spectral norm, Biran, Cornea, and Shelukhin have constructed families of so...