The Richard E. Phillips Distinguished Lecture Series was established in 1997 with generous endowment from the family of our late distinguished colleague Richard E. Phillips. The purpose of the Phillips Lectures is to advertise the utility and power of mathematics within the university, and to stimulate the interest of graduate students, postdocs and faculty. Interaction with graduate students and postdoctoral fellows is an integral part of the visit. Each series consists of three lectures delivered over a period of 4-5 days. The first lecture is targeted to a broad audience with diverse mathematical background and displays the utility of the subfield of mathematics. The second lecture is at the level of a mathematical colloquium, while the third is more focused and highlights technical aspects of the domain.

**October 18-21, 2016**

Luis Caffarelli

University of Texas

**"The geometric structure of mathematical models involving minimal surfaces and phase transition problems"**

In the first lecture I will discuss some of the main ideas in the theory of regularity for minimal surfaces and for free boundary problems and how they influence each other.

In the next two lectures I will dwell in more detail on the main ideas of the mathematical theory and several problems where phase transitions and minimal surfaces interact, mainly when the phase transition energy involves bulk energy in each phase and transition energy along the interphase.

**Wednesday, October 19th, 2016 - 5:30 PM - 6:30 PM - Kellogg Center Auditorium**

**Thursday, October 20th, 2016 - 4:00 PM - 5:00 PM - 115 International Center**

**Friday, October 21st, 2016 - 4:00 PM - 5:00 PM - C304 Wells Hall**

Department of Mathematics

Michigan State University

619 Red Cedar Road

C212 Wells Hall

East Lansing, MI 48824

Phone: (517) 353-0844

Fax: (517) 432-1562

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