Coarsening dynamics of condensing fluid thin films Abstract: The behavior of thin layers of viscous fluids coating solid surfaces is of importance in many industrial and natural applications. Interfacial instabilities and pattern formation can occur in films on water-repellent surfaces. Thin … Read more
Title: Detection and recovery of low-rank signals under heteroskedastic noise Abstract: A fundamental task in data analysis is to detect and recover a low-rank signal in a noisy data matrix. Typically, this task is addressed by inspecting and manipulating the spectrum … Read more
Title: Equivalence of Hecke Categories with Deeper Level Structures Abstract: Inspired by the theory of positive depth representations of p-adic reductive groups, we study Hecke categories associated to certain open compact subgroups smaller than the Iwahori subgroup. In this talk, … Read more
Incidences and projections: discrete and continuous Abstract. A number of difficult problems in geometric measure theory stem from discrete geometry results, such as Beck’s theorem about the number of lines spanned by a set of points in the plane, and … Read more
Zoom link On the empirical process sampled along a stationary process Abstract Ergodic Theory Seminar Website
Title-Bubble clusters and particle-pair dispersion in bubble-laden flows Abstract-Bubble clusters We use experiments to study the evolution of bubble clusters in a swarm of freely rising, deformable bubbles. A new machine learning-aided algorithm allows us to identify and track bubbles … Read more
Zoom link Some new results for open dynamical systems Abstract Ergodic Theory Seminar Website
Eigenvalue Optimization and Minimal Surfaces Abstract. I will discuss a new method, developed in collaboration with M. Karpukhin, R. Kusner, and D. Stern, for constructing minimal surfaces embedded in the 3-sphere and the 3-ball, by equivariant eigenvalue optimization. A main … Read more
Row-Column Mirror Symmetry for Colored Torus Knot Homology Abstract. The HOMFLYPT polynomial is a 2-variable link invariant generalizing the celebrated Jones polynomial and other Type A quantum link polynomials. Its construction passes through a Hecke algebra representation of the braid … Read more
Curved Fukaya algebras and the Dubrovin spectrum Abstract: The cohomology ring of a compact symplectic manifold can be deformed by counting pseudo-holomorphic spheres. Fukaya-Oh-Ohta-Ono developed an obstruction theory that explains when Lagrangian submanifolds yield modules over such deformation, based on … Read more
Crouzeix's Conjecture, Blaschke Products, and Numerical Ranges Abstract. Crouzeix’s Conjecture is an important open problem in operator theory that posits: for every square matrix A, the numerical range of A is a two spectral-set for A. In this talk, we’ll … Read more
On the global well-posedness of the Boltzmann hierarchy Abstract. The Boltzmann hierarchy is an infinite system of linear coupled equations that are instrumental for the rigorous derivation of the Boltzmann equation from many particles. In this talk we will show … Read more
