Upcoming Events
We present recent works with Zaher Hani and Xiao Ma, in which we derive the Boltzmann equation from the hard sphere dynamics in the Boltzmann-Grad limit, for the full time range in which the (strong) solution to the Boltzmann equation exists. This is done in the Euclidean setting in any…
In this talk, we will introduce the Dirichlet-to-Neumann map and survey several important related results. In particular, we will we derive the spectral asymptotics for the Steklov problem on smooth Riemannian manifolds with boundary. We will then discuss a few open conjectures.
A k-index model is a classical statistical model describing the dependency of a response variable y onto an input vector of covariates x. It posits that y depends on x only via its projection onto a k-dimensional subspace. Learning in this model boils down to estimating this subspace from data,…
Teleman conjectured that the mirror of a Hamiltonian action on a symplectic manifold is a holomorphic fibration. In this talk, I will explain this from the perspective of equivariant Lagrangian Floer theory and correspondence for symplectic quotients. Moreover, we propose a …
Two embedded smooth surfaces in a 4-manifold are an exotic pair if they are topologically, but not smoothly, isotopic A subtle point is that such surfaces might be still equivalent, i.e., related by a diffeomorphism. The first examples of this phenomenon are due to Baraglia (2024), using…
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The Stanford Mathematics Research Center presents Paper…