Analysis Student Seminar

from Thursday
June 01, 2017 to Sunday
December 31, 2017
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Wednesday
September 13, 2017

4:00 PM
Math Tower 5-127
Silvia Ghinassi, Jack Burkart, Stony Brook University
Organizational meeting

All are invited to discuss possible topics.


Wednesday
September 20, 2017

4:00 PM
Math Tower 5-127
Silvia Ghinassi, Stony Brook University
Introduction to Minimal Surfaces

First meeting and general introduction to minimal surfaces.


Wednesday
September 27, 2017

4:00 PM
Math Tower 5-127
Silvia Ghinassi, Stony Brook University
Some examples of minimal surfaces

We will keep following the first chapter of Colding-Minicozzi, providing some examples of minimal surfaces. If time allows we will move on to discuss consequences of the First Variation formula.


Wednesday
October 04, 2017

4:00 PM
Math Tower 5-127
Jin-Cheng Guu, Stony Brook University
Consequences of the first variation formula

With the aim of proving Bernstein's theorem, which states that the only entire solutions to the minimal surface equation in R^2 are affine functions, we prove harmonicity of the coordinate functions, monotonicity formula of volume for minimal submanifolds and the mean value inequality.
If time allows, we will introduce the Gauss map and prove Bernstein's theorem, otherwise these will be topics for the next seminar.

Note: last time we discussed, after a brief introduction to Riemannian geometry, the minimal submanifold equation. Please take a look at the relevant examples in 1.2 in Colding-Minicozzi as they won't be covered in the seminar.


Wednesday
October 11, 2017

4:00 PM
Math Tower 5-127
Ben Sokolowsky, Stony Brook University
Bernstein's Theorem


Wednesday
October 18, 2017

4:00 PM
Math Tower 5-127
Edward Bryden, Stony Brook University
TBA


Wednesday
October 25, 2017

4:00 PM
Math Tower 5-127
TBA, Stony Brook University
TBA


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Instructions for subscribing to Stony Brook Math Department Calendars