Video Lectures

Gromov-Witten invariants for a general target are rational-valued but not necessarily integer-valued. This is due to the contribution of curves with nontrivial automorphism groups. In 1997 Fukaya and Ono proposed a new method in symplectic geometry...

Homeomorphism is called contact if it can be written as C0-limit of contactomorphisms. The contact version of Eliashberg-Gromov rigidity theorem states that smooth contact homeomorphisms preserve contact structure. Submanifold L of a contact...

In this talk, I will state a conjecture giving a formula for the Lagrangian capacity of a convex or concave toric domain. First, I will explain a proof of the conjecture in the case where the toric domain is convex and 4-dimensional, using the Gutt...

We show that Viterbo‘s conjecture (for the EHZ-capacity) for convex Lagrangian products in ℝ4 holds for all Lagrangian products (any trapezoid in ℝ2) x (any convex body in ℝ2). Moreover, we classify all equality cases of Viterbo’s conjecture within...

In computer vision, generalization of neural representations is usually measured on i.i.d. data. This hides the fact that representations often struggle to generalize to non-i.i.d data and fail to overcome the biases inherent in visual datasets. I...

Recent deep learning models have achieved impressive predictive performance by learning complex functions of many variables, often at the cost of interpretability. This lecture first defines interpretable machine learning in general and introduces...

In computer vision, generalization of neural representations is usually measured on i.i.d. data. This hides the fact that representations often struggle to generalize to non-i.i.d data and fail to overcome the biases inherent in visual datasets. I...