Upcoming Events
Knot invariants are typically used to give a negative answer to the question of when two embeddings are ambiently isotopic, and rarely to give a positive answer. An exception is the celebrated result of Freedman and Quinn that if the complement of a 2-sphere embedded in the 4-sphere has…
In this talk, we shall discuss our recent work which shows that in the periodic homogenization of viscous HJ equations in any spatial dimension the effective Hamiltonian does not necessarily inherit the quasiconvexity property (in the momentum variables) of the original Hamiltonian. Moreover,…
Quantum unique ergodicity (QUE) describes the equidistribution of the L2-mass of eigenfunctions of the Laplacian as their eigenvalues approach infinity. My focus lies on a specific variant known as holomorphic QUE, which concerns the distribution of the L2-mass of normalized…
Suppose A is a subset of the natural numbers with positive density. A classical result in additive combinatorics, Szemerédi’s theorem, states that for each positive integer k, A must have an arithmetic progression of nonzero common difference of length k.In this talk, we shall discuss various…
Spection 4, 5.1 of [FP97].
We will move from the local to the global theory of FIOs, providing invariant definitions of relevant notions such as operator symbols. The necessary tools from symplectic geometry will be introduced. If time permits, we'll begin considering some applications.
The advent of generative AI has turbocharged the development of a myriad of commercial applications, and it has slowly started to permeate to scientific computing. In this talk we discussed how recasting the formulation of old and new problems within a probabilistic approach opens the door to…
Student Spectral Sequences Seminar
Abstract
There have been several recent approaches to defining a moduli space of L-parameters over Z[1/p], in order to obtain refined versions of the local Langlands conjecture ``at all primes away from p at once''. The components of this space are expected to be closely related to blocks in the category…