**Thursday, February 6th**Title: The Traveling Salesman Problem

**TIME: 3:40**

*Speaker: Vyron Vellis*ROOM: Ayres 405

Abstract: One of the most famous problems in computer science is the Traveling Salesman Problem (TSP) which asks the following question: “Given a finite list of cities, what is the shortest possible route a traveling salesman has to take to visit each city?”. The problem was first formulated in 1930 and is one of the most intensively studied problems in optimization. In analysis, we asked ourselves a more general question: “Given again a list of cities (possibly infinite, even uncountable, or better, a continuum!), when can our traveling salesman travel them all in finite (optimal, in some sense) time?”. This question (known as the Analyst’s TSP) has been one of the core questions of geometric measure theory and its applications span almost all fields of modern analysis. In this talk, we will discuss this problem, its solution and related results.

**Thursday, November 14th**TITLE: Bose-Einstein condensation of an Ideal Gas

**SPEAKER: Maximilian Pechmann**TIME: 3:40 PM

ROOM: Ayres 405

Abstract: A Bose-Einstein condensate is a state of matter of a Bose gas and an exotic quantum phenomenon. It was theoretically predicted by Bose and Einstein in 1924, but was long considered a mathematical curiosity without practical use. However, since the experimental observation of such a condensate in 1995, Bose-Einstein condensation is a field of research of great interest. Although this phenomenon is well understood from a physical point of view, its mathematically rigorous description is still incomplete. We present a mathematical precise treatment of the Bose-Einstein condensation in the simple case of an ideal Bose gas in a box.

**Thursday, October 10th**Title: Hydrocode Modeling of Impact Craters

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**Speaker: Wendy Caldwell**

*Arizona State University*Room: Ayres 405

Time: 3:35pm

Abstract: Asteroid 16 Psyche is the largest M-type (metallic) Main Belt Asteroid (MBA). Radar albedo data indicate Psyche’s surface is rich in metallic content, but estimates for Psyche’s bulk structure vary widely. Psyche has two large impact structures in its Southern hemisphere. In this work, we present results from 2D and 3D simulations of the formation of these craters using the FLAG hydrocode, developed and maintained by Los Alamos National Laboratory. FLAG has been verified and validated for impact cratering simulations, with good agreement to theoretical and experimental results. Through quantitative comparison of the simulated crater dimensions with measured values, our models suggest that Psyche is largely composed of porous, metallic material. In addition, our work indicates that the impacts were likely oblique, with angles at least 45 degrees from vertical.