# Upcoming Seminars & Events

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##### Recent progress on the Landis conjecture

PLEASE CLICK ON SEMINAR TITLE FOR COMPLETE ABSTRACT. In the late 60's, E.M. Landis conjectured that if $\Delta u+Vu=0$ in $\mathbb{R}^n$ with $\|V\|_{L^{\infty}(\mathbb{R}^n)}\le 1$ and $\|u\|_{L^{\infty}(\mathbb{R}^n)}\le C_0$ satisfying $|u(x)|\le C\exp(-C|x|^{1+})$, then $u\equiv 0$.

##### A transition formula for mean values of Dirichlet polynomials

**Please note special day (Monday) and location.**

##### Curvature suppresses the Rayleigh-Taylor instability

PLEASE CLICK ON COLLOQUIUM TITLE FOR EACH COMPLETE ABSTRACT. Naima Hammoud's abstract: Thin films on curved surfaces are widely observed in coating and painting processes and wetting problems.

Haoshu Tian's abstract: The default of one bank can cause other banks to default through two channels: financial contagion in the inter-bank liability network and fire sale in the asset selling market. When the defaulted bank cannot fully pay its debt, the loss is transmitted to other banks.

##### Birational geometry of moduli of stable rational curves

I will report on joint work with Castravet on birational geometry of moduli of stable rational curves with n punctures. In particular, we show that it is not a Mori Dream Space when n is at least 134, answering a question of Hu and Keel.

##### Modular forms for noncongruence subgroups: an overview

The two most important tools used to study the arithmetic of modular forms for congruence subgroups are the Hecke theory and l-adic Galois representations. Unlike their congruence counterpart, the arithmetic for noncongruence modular forms remains mysterious. A main reason is the lack of efficient Hecke operators.

##### TBA - Dong Li

##### TBA - Bendersky

##### On active scalar equations with nonlocal velocity.

The problem of finite-time singularity versus global regularity for active scalar equations with nonlocal velocities has attracted much attention in recent years. In this talk, I will discuss some recent results in this direction.

##### TBA - Boxer

##### Structure of measures in Lipschitz differentiability spaces

This talk will present results showing the equivalence of two very different ways of generalising Rademacher's theorem to metric measure spaces. The first was introduced by Cheeger and is based upon

##### TBA - Kovács

**Please note special day, time and location.**

##### TBA - Lie

##### Coarsening to Chaos-Stabilized Fronts in Pattern Formation with Galilean Invariance

The presence of continuous symmetries, or coupling with a large-scale mode or mean flow, can strongly influence the dynamics of pattern-forming systems. After reviewing some aspects of pattern formation and spatiotemporal chaos in one-dimensional Kuramoto-Sivashinsky-type equations, I will focus on a 6th-order analogue, the Nikolaevskiy PDE, a model for short-wave pattern formation with Galile

##### Special Probability Seminar: Cover times, blanket times, and the Gaussian free field

PLEASE CLICK ON SEMINAR TITLE FOR COMPLETE ABSTRACT. The cover time of a finite graph G (the expected time for simple random walk to visit all vertices) has been extensively studied, yet a number of fundamental questions concerning cover times have remained open: Aldous and Fill (1994) asked whether there is a deterministic polynomial-time algorithm that computes the cover time up to an O(1) factor

##### Talk #2: TBA - Kleiner

##### Solving Boltzmann Equation, Green's Function Approach.

PLEASE CLICK ON SEMINAR TITLE FOR COMPLETE ABSTRACT. We will describe an quantitative approach for solving the Boltzmann equation in the kinetic theory. The approach has been developed, with Shih-Hsien Yu, in the past decade and proven effective in understanding some of the important physical phenomena.