Past Events
To understand how a complex variety sits in affine or projective space, one can study topological invariants of its complement. These complements sometimes also parametrize the 'nice' objects of a moduli space. I will discuss the Zariski–van Kampen method to compute the fundamental group…
In 1979 D. Goldfeld conjectures 50% of the quadratic twists of an elliptic curve over the rationals have analytic rank 0. We present the first instance: the congruent number elliptic curves (joint with Y. Tian).
"Pocket groups" is how the speaker and co-author Tianyi Zheng calls a simple class of groups obtained from a construction that is rather simple-minded but not particularly familiar to most of us. This construction associates to a given countable group G another (bigger) group G…
The theory of complements was introduced by Shokurov when he investigated log flips of threefolds, and plays an important role in many areas in birational geometry, e.g. boundedness of Fano varieties, log Calabi-Yau fibrations, K-stability theory, etc. In a recent work, we prove a complements…
Abstract: This is joint work with Michal Wrochna. The spectral action principle
of Connes recovers the Einstein Hilbert action from spectral data and
is one of the cornerstones of the noncommutative geometry approach to
the standard model, yet it is limited to…
The strong cosmic censorship conjecture is a fundamental open problem in classical general relativity, first put forth by Roger Penrose in the early 70s. This is essentially the question of whether general relativity is a deterministic theory. Perhaps the most exciting arena where the validity…
In this talk, we present a novel solvable lattice model which we term "stochastic symplectic ice" with stochastic weights and U-turn right boundary. The model can be interpreted probabilistically as a new interacting particle system in which particles jump alternately between right and left. We…
In this talk, I will present recent work (joint with M. Eichmair) on large area-constrained Willmore surfaces in asymptotically Schwarzschild 3-manifolds. Using the method of Lyapunov-Schmidt reduction, we prove
that the end of such a manifold is foliated by distinguished area-…
Contextual bandit is an online decision making framework that has found many applications in recommendation systems and search tasks. In this talk, we consider the extreme contextual bandit problem where the enormous number of arms poses the main theoretical and algorithmic challenges. This…