## Probing Behind the Man in the Moon: Results from NASA’s GRAIL Mission

Jay Melosh

Purdue University

November 13, 2018

Jay Melosh

Purdue University

November 13, 2018

Alexis Michelat

ETH Zurich

November 13, 2018

We will present the project of using the Willmore elastic energy as a quasi-Morse function to explore

the topology of immersions of the 2-sphere into Euclidean spaces and explain how this relates to the

classical theory of complete minimal surfaces with finite total curvature.

the topology of immersions of the 2-sphere into Euclidean spaces and explain how this relates to the

classical theory of complete minimal surfaces with finite total curvature.

This is partially a joint work in collaboration with Tristan Rivière.

David Hoffman

Stanford University

November 13, 2018

A translator for mean curvature flow is a hypersurface $M$ with the property that translation is a mean curvature flow. That is, if the translation is

$t\rightarrow M+t\vec{v}$, then the normal component of the velocity vector $\vec{v}$ is equal to the mean curvature $\vec{ H}$. I will discuss recent joint work with Tom Ilmanen, Francisco Martin and Brian White, specifically our classification of the the complete translators in $R^3$ that are graphical, and the construction of new families of complete translators that are not graphical.

$t\rightarrow M+t\vec{v}$, then the normal component of the velocity vector $\vec{v}$ is equal to the mean curvature $\vec{ H}$. I will discuss recent joint work with Tom Ilmanen, Francisco Martin and Brian White, specifically our classification of the the complete translators in $R^3$ that are graphical, and the construction of new families of complete translators that are not graphical.

Yusuf Baris Kartal

Massachusetts Institute of Technology

November 12, 2018

Given a Weinstein domain $M$ and a compactly supported, exact symplectomorphism $\phi$, one can construct the open symplectic mapping torus $T_\phi$. Its contact boundary is independent of $\phi$ and thus $T_\phi$ gives a Weinstein filling of $T_0\times M$, where $T_0$ is the punctured 2-torus. In this talk, we will outline a method to distinguish $T_\phi$ from $T_0\times M$ using dynamics and deformation theory of their wrapped Fukaya categories.

Irina Bobkova

Member; School of Mathematics

November 12, 2018

Computation of the stable homotopy groups of spheres is a long-standing open problem in algebraic topology. I will describe how chromatic homotopy theory uses localization of categories, analogous to localization for rings and modules, to split this problem into easier pieces, called chromatic levels. Each chromatic level can be understood using the theory of deformations of formal group laws. I will talk about recent results, and work in progress, at the second chromatic level.

Israel Finkelstein

Jacob Alkow Professor of the Archaeology of Israel in the Bronze and Iron Ages, Tel Aviv University

November 9, 2018

Various

November 5, 2018

William Meeks

University of Massachusetts; Member, School of Mathematics

November 9, 2018

Joaquin Perez

UGR

November 8, 2018

Abstract: We will explain how to prove properness of a complete embedded minimal surface in Euclidean three-space, provided that the surface has finite genus and countably many limit ends (and possibly compact boundary).

This is joint work with William H. Meeks and Antonio Ros.

Paul Laurain

Univeristé Paris Diderot

October 30, 2018