Graduate Student Geometry and PDE Seminar
Fall 2012
Organizer: Tristan Collins
For the Fall of 2012, the seminar will be focusing primarily on harmonic maps and their heat flows. The seminar meets on Mondays, from 45pm in Math 507. Below, we use 'LW' to refer to the book The Analysis of Harmonic Maps and Their Heat Flows, by Fanghua Lin and Changyou Wang.
Schedule

September 10, 2012
Organizational Meeting

September 17, 2012
Tristan Collins  Introduction to harmonic maps  Chapter 1 of LW  Notes

September 24,2012
Tristan Collins  Minimizing harmonic maps in dimension 2  Section 2.1 of LW  Notes

October 1, 2012
Alex Waldron  Minimizing harmonic maps  Section 2.2 of LW

October 8, 2012
Alex Waldron  Minimizing harmonic maps  Section 2.2 of LW

October 15, 2012
Connor Mooney  Federer's dimension reduction principle  Section 2.3 of LW

October 22, 2012
Dan Rubin  Weakly harmonic maps into regular balls  Section 3.1 of LW

October 29, 2012
Dan Rubin  Weakly harmonic maps in dimension 2  Section 3.2 of LW

November 5, 2012
Karsten Gimre  Stationary harmonic maps in higher dimensions  Section 3.3 of LW

November 12,2012
Karsten Gimre  Blow up analysis of stationary harmonic maps  Section 4.1 of LW

November 19, 2012
Karsten Gimre  Rectifiability of defect measures  Section 4.2 of LW

November 26, 2012
Donovan McFeron  The KahlerRicci flow and Kpolystability  Reference

December 3, 2012
Thomas Nyberg  Regularity of weak solutions of a CMA equation  Reference
Schedule and notes from past years:
Spring 2011 
Fall 2011
Spring 2012