### MATH 5030: Topics in Geometry and Topology I

**Description:** Advanced topics in geometry and topology. With a change of content this course is repeatable to a maximum of twelve credits.

**Credits:** 3

### MATH 5030 - Section 1: Introduction to Minimal Surfaces

**Description:** The question of finding a surface with the smallest area can be tracked back to the 18th century by Lagrange. Its mathematical solution is called the minimal surface. The analysis of minimal surfaces is one of model problem in geometric calculus of variations and has many applications in geometry, topology, and mathematical physics. I will present both classical and recent results and provide necessary backgrounds from PDEs and geometric analysis. This course will try to be self-contained, but some backgrounds in geometry and analysis (such as Math 5310 and Math 5311) are welcome.

**Credits:** 3

**Sections: **Fall 2016 on Storrs Campus

PSCourseID | Course | Sec | Comp | Time | Room | Instructor |
---|---|---|---|---|---|---|

10407 | 5030 | 001 | Lecture | MWF 12:20:00 PM-01:10:00 PM | MONT 414 | Huang, Lan-Hsuan |